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+/******************************************************************************
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+*
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+* THIS SOURCE CODE IS HEREBY PLACED INTO THE PUBLIC DOMAIN FOR THE GOOD OF ALL
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+*
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+* This is a simple and straightforward implementation of AES-GCM authenticated
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+* encryption. The focus of this work was correctness & accuracy. It is written
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+* in straight 'C' without any particular focus upon optimization or speed. It
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+* should be endian (memory byte order) neutral since the few places that care
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+* are handled explicitly.
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+*
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+* This implementation of AES-GCM was created by Steven M. Gibson of GRC.com.
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+*
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+* It is intended for general purpose use, but was written in support of GRC's
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+* reference implementation of the SQRL (Secure Quick Reliable Login) client.
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+*
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+* See: http://csrc.nist.gov/publications/nistpubs/800-38D/SP-800-38D.pdf
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+* http://csrc.nist.gov/groups/ST/toolkit/BCM/documents/proposedmodes/
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+* gcm/gcm-revised-spec.pdf
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+*
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+* NO COPYRIGHT IS CLAIMED IN THIS WORK, HOWEVER, NEITHER IS ANY WARRANTY MADE
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+* REGARDING ITS FITNESS FOR ANY PARTICULAR PURPOSE. USE IT AT YOUR OWN RISK.
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+*
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+*******************************************************************************/
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+
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+#include "gcm.h"
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+#include "aes.h"
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+
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+/******************************************************************************
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+ * ==== IMPLEMENTATION WARNING ====
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+ *
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+ * This code was developed for use within SQRL's fixed environmnent. Thus, it
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+ * is somewhat less "general purpose" than it would be if it were designed as
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+ * a general purpose AES-GCM library. Specifically, it bothers with almost NO
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+ * error checking on parameter limits, buffer bounds, etc. It assumes that it
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+ * is being invoked by its author or by someone who understands the values it
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+ * expects to receive. Its behavior will be undefined otherwise.
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+ *
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+ * All functions that might fail are defined to return 'ints' to indicate a
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+ * problem. Most do not do so now. But this allows for error propagation out
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+ * of internal functions if robust error checking should ever be desired.
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+ *
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+ ******************************************************************************/
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+
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+/* Calculating the "GHASH"
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+ *
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+ * There are many ways of calculating the so-called GHASH in software, each with
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+ * a traditional size vs performance tradeoff. The GHASH (Galois field hash) is
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+ * an intriguing construction which takes two 128-bit strings (also the cipher's
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+ * block size and the fundamental operation size for the system) and hashes them
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+ * into a third 128-bit result.
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+ *
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+ * Many implementation solutions have been worked out that use large precomputed
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+ * table lookups in place of more time consuming bit fiddling, and this approach
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+ * can be scaled easily upward or downward as needed to change the time/space
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+ * tradeoff. It's been studied extensively and there's a solid body of theory and
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+ * practice. For example, without using any lookup tables an implementation
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+ * might obtain 119 cycles per byte throughput, whereas using a simple, though
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+ * large, key-specific 64 kbyte 8-bit lookup table the performance jumps to 13
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+ * cycles per byte.
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+ *
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+ * And Intel's processors have, since 2010, included an instruction which does
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+ * the entire 128x128->128 bit job in just several 64x64->128 bit pieces.
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+ *
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+ * Since SQRL is interactive, and only processing a few 128-bit blocks, I've
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+ * settled upon a relatively slower but appealing small-table compromise which
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+ * folds a bunch of not only time consuming but also bit twiddling into a simple
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+ * 16-entry table which is attributed to Victor Shoup's 1996 work while at
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+ * Bellcore: "On Fast and Provably Secure MessageAuthentication Based on
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+ * Universal Hashing." See: http://www.shoup.net/papers/macs.pdf
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+ * See, also section 4.1 of the "gcm-revised-spec" cited above.
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+ */
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+
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+/*
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+ * This 16-entry table of pre-computed constants is used by the
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+ * GHASH multiplier to improve over a strictly table-free but
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+ * significantly slower 128x128 bit multiple within GF(2^128).
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+ */
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+static const uint64_t last4[16] = {
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+ 0x0000, 0x1c20, 0x3840, 0x2460, 0x7080, 0x6ca0, 0x48c0, 0x54e0,
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+ 0xe100, 0xfd20, 0xd940, 0xc560, 0x9180, 0x8da0, 0xa9c0, 0xb5e0 };
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+
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+/*
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+ * Platform Endianness Neutralizing Load and Store Macro definitions
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+ * GCM wants platform-neutral Big Endian (BE) byte ordering
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+ */
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+#define GET_UINT32_BE(n,b,i) { \
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+ (n) = ( (uint32_t) (b)[(i) ] << 24 ) \
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+ | ( (uint32_t) (b)[(i) + 1] << 16 ) \
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+ | ( (uint32_t) (b)[(i) + 2] << 8 ) \
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+ | ( (uint32_t) (b)[(i) + 3] ); }
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+
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+#define PUT_UINT32_BE(n,b,i) { \
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+ (b)[(i) ] = (uchar) ( (n) >> 24 ); \
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+ (b)[(i) + 1] = (uchar) ( (n) >> 16 ); \
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+ (b)[(i) + 2] = (uchar) ( (n) >> 8 ); \
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+ (b)[(i) + 3] = (uchar) ( (n) ); }
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+
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+
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+/******************************************************************************
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+ *
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+ * GCM_INITIALIZE
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+ *
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+ * Must be called once to initialize the GCM library.
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+ *
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+ * At present, this only calls the AES keygen table generator, which expands
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+ * the AES keying tables for use. This is NOT A THREAD-SAFE function, so it
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+ * MUST be called during system initialization before a multi-threading
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+ * environment is running.
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+ *
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+ ******************************************************************************/
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+int gcm_initialize( void )
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+{
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+ aes_init_keygen_tables();
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+ return( 0 );
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+}
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+
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+
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+/******************************************************************************
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+ *
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+ * GCM_MULT
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+ *
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+ * Performs a GHASH operation on the 128-bit input vector 'x', setting
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+ * the 128-bit output vector to 'x' times H using our precomputed tables.
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+ * 'x' and 'output' are seen as elements of GCM's GF(2^128) Galois field.
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+ *
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+ ******************************************************************************/
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+static void gcm_mult( gcm_context *ctx, // pointer to established context
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+ const uchar x[16], // pointer to 128-bit input vector
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+ uchar output[16] ) // pointer to 128-bit output vector
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+{
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+ int i;
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+ uchar lo, hi, rem;
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+ uint64_t zh, zl;
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+
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+ lo = (uchar)( x[15] & 0x0f );
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+ hi = (uchar)( x[15] >> 4 );
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+ zh = ctx->HH[lo];
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+ zl = ctx->HL[lo];
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+
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+ for( i = 15; i >= 0; i-- ) {
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+ lo = (uchar) ( x[i] & 0x0f );
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+ hi = (uchar) ( x[i] >> 4 );
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+
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+ if( i != 15 ) {
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+ rem = (uchar) ( zl & 0x0f );
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+ zl = ( zh << 60 ) | ( zl >> 4 );
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+ zh = ( zh >> 4 );
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+ zh ^= (uint64_t) last4[rem] << 48;
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+ zh ^= ctx->HH[lo];
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+ zl ^= ctx->HL[lo];
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+ }
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+ rem = (uchar) ( zl & 0x0f );
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+ zl = ( zh << 60 ) | ( zl >> 4 );
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+ zh = ( zh >> 4 );
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+ zh ^= (uint64_t) last4[rem] << 48;
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+ zh ^= ctx->HH[hi];
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+ zl ^= ctx->HL[hi];
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+ }
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+ PUT_UINT32_BE( zh >> 32, output, 0 );
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+ PUT_UINT32_BE( zh, output, 4 );
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+ PUT_UINT32_BE( zl >> 32, output, 8 );
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+ PUT_UINT32_BE( zl, output, 12 );
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+}
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+
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+
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+/******************************************************************************
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+ *
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+ * GCM_SETKEY
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+ *
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+ * This is called to set the AES-GCM key. It initializes the AES key
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+ * and populates the gcm context's pre-calculated HTables.
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+ *
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+ ******************************************************************************/
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+int gcm_setkey( gcm_context *ctx, // pointer to caller-provided gcm context
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+ const uchar *key, // pointer to the AES encryption key
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+ const uint keysize) // size in bytes (must be 16, 24, 32 for
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+ // 128, 192 or 256-bit keys respectively)
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+{
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+ int ret, i, j;
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+ uint64_t hi, lo;
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+ uint64_t vl, vh;
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+ unsigned char h[16];
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+
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+ memset( ctx, 0, sizeof(gcm_context) ); // zero caller-provided GCM context
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+ memset( h, 0, 16 ); // initialize the block to encrypt
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+
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+ // encrypt the null 128-bit block to generate a key-based value
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+ // which is then used to initialize our GHASH lookup tables
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+ if(( ret = aes_setkey( &ctx->aes_ctx, ENCRYPT, key, keysize )) != 0 )
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+ return( ret );
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+ if(( ret = aes_cipher( &ctx->aes_ctx, h, h )) != 0 )
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+ return( ret );
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+
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+ GET_UINT32_BE( hi, h, 0 ); // pack h as two 64-bit ints, big-endian
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+ GET_UINT32_BE( lo, h, 4 );
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+ vh = (uint64_t) hi << 32 | lo;
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+
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+ GET_UINT32_BE( hi, h, 8 );
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+ GET_UINT32_BE( lo, h, 12 );
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+ vl = (uint64_t) hi << 32 | lo;
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+
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+ ctx->HL[8] = vl; // 8 = 1000 corresponds to 1 in GF(2^128)
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+ ctx->HH[8] = vh;
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+ ctx->HH[0] = 0; // 0 corresponds to 0 in GF(2^128)
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+ ctx->HL[0] = 0;
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+
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+ for( i = 4; i > 0; i >>= 1 ) {
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+ uint32_t T = (uint32_t) ( vl & 1 ) * 0xe1000000U;
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+ vl = ( vh << 63 ) | ( vl >> 1 );
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+ vh = ( vh >> 1 ) ^ ( (uint64_t) T << 32);
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+ ctx->HL[i] = vl;
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+ ctx->HH[i] = vh;
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+ }
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+ for (i = 2; i < 16; i <<= 1 ) {
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+ uint64_t *HiL = ctx->HL + i, *HiH = ctx->HH + i;
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+ vh = *HiH;
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+ vl = *HiL;
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+ for( j = 1; j < i; j++ ) {
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+ HiH[j] = vh ^ ctx->HH[j];
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+ HiL[j] = vl ^ ctx->HL[j];
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+ }
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+ }
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+ return( 0 );
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+}
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+
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+
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+/******************************************************************************
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+ *
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+ * GCM processing occurs four phases: SETKEY, START, UPDATE and FINISH.
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+ *
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+ * SETKEY:
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+ *
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+ * START: Sets the Encryption/Decryption mode.
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+ * Accepts the initialization vector and additional data.
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+ *
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+ * UPDATE: Encrypts or decrypts the plaintext or ciphertext.
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+ *
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+ * FINISH: Performs a final GHASH to generate the authentication tag.
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+ *
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+ ******************************************************************************
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+ *
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+ * GCM_START
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+ *
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+ * Given a user-provided GCM context, this initializes it, sets the encryption
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+ * mode, and preprocesses the initialization vector and additional AEAD data.
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+ *
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+ ******************************************************************************/
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+int gcm_start( gcm_context *ctx, // pointer to user-provided GCM context
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+ int mode, // GCM_ENCRYPT or GCM_DECRYPT
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+ const uchar *iv, // pointer to initialization vector
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+ size_t iv_len, // IV length in bytes (should == 12)
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+ const uchar *add, // ptr to additional AEAD data (NULL if none)
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+ size_t add_len ) // length of additional AEAD data (bytes)
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+{
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+ int ret; // our error return if the AES encrypt fails
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+ uchar work_buf[16]; // XOR source built from provided IV if len != 16
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+ const uchar *p; // general purpose array pointer
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+ size_t use_len; // byte count to process, up to 16 bytes
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+ size_t i; // local loop iterator
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+
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+ // since the context might be reused under the same key
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+ // we zero the working buffers for this next new process
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+ memset( ctx->y, 0x00, sizeof(ctx->y ) );
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+ memset( ctx->buf, 0x00, sizeof(ctx->buf) );
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+ ctx->len = 0;
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+ ctx->add_len = 0;
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+
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+ ctx->mode = mode; // set the GCM encryption/decryption mode
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+ ctx->aes_ctx.mode = ENCRYPT; // GCM *always* runs AES in ENCRYPTION mode
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+
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+ if( iv_len == 12 ) { // GCM natively uses a 12-byte, 96-bit IV
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+ memcpy( ctx->y, iv, iv_len ); // copy the IV to the top of the 'y' buff
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+ ctx->y[15] = 1; // start "counting" from 1 (not 0)
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+ }
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+ else // if we don't have a 12-byte IV, we GHASH whatever we've been given
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+ {
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+ memset( work_buf, 0x00, 16 ); // clear the working buffer
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+ PUT_UINT32_BE( iv_len * 8, work_buf, 12 ); // place the IV into buffer
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+
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+ p = iv;
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+ while( iv_len > 0 ) {
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+ use_len = ( iv_len < 16 ) ? iv_len : 16;
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+ for( i = 0; i < use_len; i++ ) ctx->y[i] ^= p[i];
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+ gcm_mult( ctx, ctx->y, ctx->y );
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+ iv_len -= use_len;
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+ p += use_len;
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+ }
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+ for( i = 0; i < 16; i++ ) ctx->y[i] ^= work_buf[i];
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+ gcm_mult( ctx, ctx->y, ctx->y );
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+ }
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+ if( ( ret = aes_cipher( &ctx->aes_ctx, ctx->y, ctx->base_ectr ) ) != 0 )
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+ return( ret );
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+
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+ ctx->add_len = add_len;
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+ p = add;
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+ while( add_len > 0 ) {
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+ use_len = ( add_len < 16 ) ? add_len : 16;
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+ for( i = 0; i < use_len; i++ ) ctx->buf[i] ^= p[i];
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+ gcm_mult( ctx, ctx->buf, ctx->buf );
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+ add_len -= use_len;
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+ p += use_len;
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+ }
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+ return( 0 );
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+}
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+
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+/******************************************************************************
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+ *
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+ * GCM_UPDATE
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+ *
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+ * This is called once or more to process bulk plaintext or ciphertext data.
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+ * We give this some number of bytes of input and it returns the same number
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+ * of output bytes. If called multiple times (which is fine) all but the final
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+ * invocation MUST be called with length mod 16 == 0. (Only the final call can
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+ * have a partial block length of < 128 bits.)
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+ *
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+ ******************************************************************************/
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+int gcm_update( gcm_context *ctx, // pointer to user-provided GCM context
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+ size_t length, // length, in bytes, of data to process
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+ const uchar *input, // pointer to source data
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+ uchar *output ) // pointer to destination data
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+{
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+ int ret; // our error return if the AES encrypt fails
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+ uchar ectr[16]; // counter-mode cipher output for XORing
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+ size_t use_len; // byte count to process, up to 16 bytes
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+ size_t i; // local loop iterator
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+
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+ ctx->len += length; // bump the GCM context's running length count
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+
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+ while( length > 0 ) {
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+ // clamp the length to process at 16 bytes
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+ use_len = ( length < 16 ) ? length : 16;
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+
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+ // increment the context's 128-bit IV||Counter 'y' vector
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+ for( i = 16; i > 12; i-- ) if( ++ctx->y[i - 1] != 0 ) break;
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+
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+ // encrypt the context's 'y' vector under the established key
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+ if( ( ret = aes_cipher( &ctx->aes_ctx, ctx->y, ectr ) ) != 0 )
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+ return( ret );
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+
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+ // encrypt or decrypt the input to the output
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+ if( ctx->mode == ENCRYPT )
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+ {
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+ for( i = 0; i < use_len; i++ ) {
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+ // XOR the cipher's ouptut vector (ectr) with our input
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+ output[i] = (uchar) ( ectr[i] ^ input[i] );
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+ // now we mix in our data into the authentication hash.
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+ // if we're ENcrypting we XOR in the post-XOR (output)
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+ // results, but if we're DEcrypting we XOR in the input
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+ // data
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+ ctx->buf[i] ^= output[i];
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+ }
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+ }
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+ else
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+ {
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+ for( i = 0; i < use_len; i++ ) {
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+ // but if we're DEcrypting we XOR in the input data first,
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+ // i.e. before saving to ouput data, otherwise if the input
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+ // and output buffer are the same (inplace decryption) we
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+ // would not get the correct auth tag
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+
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+ ctx->buf[i] ^= input[i];
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+
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+ // XOR the cipher's ouptut vector (ectr) with our input
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+ output[i] = (uchar) ( ectr[i] ^ input[i] );
|
|
|
+ }
|
|
|
+ }
|
|
|
+ gcm_mult( ctx, ctx->buf, ctx->buf ); // perform a GHASH operation
|
|
|
+
|
|
|
+ length -= use_len; // drop the remaining byte count to process
|
|
|
+ input += use_len; // bump our input pointer forward
|
|
|
+ output += use_len; // bump our output pointer forward
|
|
|
+ }
|
|
|
+ return( 0 );
|
|
|
+}
|
|
|
+
|
|
|
+/******************************************************************************
|
|
|
+ *
|
|
|
+ * GCM_FINISH
|
|
|
+ *
|
|
|
+ * This is called once after all calls to GCM_UPDATE to finalize the GCM.
|
|
|
+ * It performs the final GHASH to produce the resulting authentication TAG.
|
|
|
+ *
|
|
|
+ ******************************************************************************/
|
|
|
+int gcm_finish( gcm_context *ctx, // pointer to user-provided GCM context
|
|
|
+ uchar *tag, // pointer to buffer which receives the tag
|
|
|
+ size_t tag_len ) // length, in bytes, of the tag-receiving buf
|
|
|
+{
|
|
|
+ uchar work_buf[16];
|
|
|
+ uint64_t orig_len = ctx->len * 8;
|
|
|
+ uint64_t orig_add_len = ctx->add_len * 8;
|
|
|
+ size_t i;
|
|
|
+
|
|
|
+ if( tag_len != 0 ) memcpy( tag, ctx->base_ectr, tag_len );
|
|
|
+
|
|
|
+ if( orig_len || orig_add_len ) {
|
|
|
+ memset( work_buf, 0x00, 16 );
|
|
|
+
|
|
|
+ PUT_UINT32_BE( ( orig_add_len >> 32 ), work_buf, 0 );
|
|
|
+ PUT_UINT32_BE( ( orig_add_len ), work_buf, 4 );
|
|
|
+ PUT_UINT32_BE( ( orig_len >> 32 ), work_buf, 8 );
|
|
|
+ PUT_UINT32_BE( ( orig_len ), work_buf, 12 );
|
|
|
+
|
|
|
+ for( i = 0; i < 16; i++ ) ctx->buf[i] ^= work_buf[i];
|
|
|
+ gcm_mult( ctx, ctx->buf, ctx->buf );
|
|
|
+ for( i = 0; i < tag_len; i++ ) tag[i] ^= ctx->buf[i];
|
|
|
+ }
|
|
|
+ return( 0 );
|
|
|
+}
|
|
|
+
|
|
|
+
|
|
|
+/******************************************************************************
|
|
|
+ *
|
|
|
+ * GCM_CRYPT_AND_TAG
|
|
|
+ *
|
|
|
+ * This either encrypts or decrypts the user-provided data and, either
|
|
|
+ * way, generates an authentication tag of the requested length. It must be
|
|
|
+ * called with a GCM context whose key has already been set with GCM_SETKEY.
|
|
|
+ *
|
|
|
+ * The user would typically call this explicitly to ENCRYPT a buffer of data
|
|
|
+ * and optional associated data, and produce its an authentication tag.
|
|
|
+ *
|
|
|
+ * To reverse the process the user would typically call the companion
|
|
|
+ * GCM_AUTH_DECRYPT function to decrypt data and verify a user-provided
|
|
|
+ * authentication tag. The GCM_AUTH_DECRYPT function calls this function
|
|
|
+ * to perform its decryption and tag generation, which it then compares.
|
|
|
+ *
|
|
|
+ ******************************************************************************/
|
|
|
+int gcm_crypt_and_tag(
|
|
|
+ gcm_context *ctx, // gcm context with key already setup
|
|
|
+ int mode, // cipher direction: GCM_ENCRYPT or GCM_DECRYPT
|
|
|
+ const uchar *iv, // pointer to the 12-byte initialization vector
|
|
|
+ size_t iv_len, // byte length if the IV. should always be 12
|
|
|
+ const uchar *add, // pointer to the non-ciphered additional data
|
|
|
+ size_t add_len, // byte length of the additional AEAD data
|
|
|
+ const uchar *input, // pointer to the cipher data source
|
|
|
+ uchar *output, // pointer to the cipher data destination
|
|
|
+ size_t length, // byte length of the cipher data
|
|
|
+ uchar *tag, // pointer to the tag to be generated
|
|
|
+ size_t tag_len ) // byte length of the tag to be generated
|
|
|
+{ /*
|
|
|
+ assuming that the caller has already invoked gcm_setkey to
|
|
|
+ prepare the gcm context with the keying material, we simply
|
|
|
+ invoke each of the three GCM sub-functions in turn...
|
|
|
+ */
|
|
|
+ gcm_start ( ctx, mode, iv, iv_len, add, add_len );
|
|
|
+ gcm_update ( ctx, length, input, output );
|
|
|
+ gcm_finish ( ctx, tag, tag_len );
|
|
|
+ return( 0 );
|
|
|
+}
|
|
|
+
|
|
|
+
|
|
|
+/******************************************************************************
|
|
|
+ *
|
|
|
+ * GCM_AUTH_DECRYPT
|
|
|
+ *
|
|
|
+ * This DECRYPTS a user-provided data buffer with optional associated data.
|
|
|
+ * It then verifies a user-supplied authentication tag against the tag just
|
|
|
+ * re-created during decryption to verify that the data has not been altered.
|
|
|
+ *
|
|
|
+ * This function calls GCM_CRYPT_AND_TAG (above) to perform the decryption
|
|
|
+ * and authentication tag generation.
|
|
|
+ *
|
|
|
+ ******************************************************************************/
|
|
|
+int gcm_auth_decrypt(
|
|
|
+ gcm_context *ctx, // gcm context with key already setup
|
|
|
+ const uchar *iv, // pointer to the 12-byte initialization vector
|
|
|
+ size_t iv_len, // byte length if the IV. should always be 12
|
|
|
+ const uchar *add, // pointer to the non-ciphered additional data
|
|
|
+ size_t add_len, // byte length of the additional AEAD data
|
|
|
+ const uchar *input, // pointer to the cipher data source
|
|
|
+ uchar *output, // pointer to the cipher data destination
|
|
|
+ size_t length, // byte length of the cipher data
|
|
|
+ const uchar *tag, // pointer to the tag to be authenticated
|
|
|
+ size_t tag_len ) // byte length of the tag <= 16
|
|
|
+{
|
|
|
+ uchar check_tag[16]; // the tag generated and returned by decryption
|
|
|
+ int diff; // an ORed flag to detect authentication errors
|
|
|
+ size_t i; // our local iterator
|
|
|
+ /*
|
|
|
+ we use GCM_DECRYPT_AND_TAG (above) to perform our decryption
|
|
|
+ (which is an identical XORing to reverse the previous one)
|
|
|
+ and also to re-generate the matching authentication tag
|
|
|
+ */
|
|
|
+ gcm_crypt_and_tag( ctx, DECRYPT, iv, iv_len, add, add_len,
|
|
|
+ input, output, length, check_tag, tag_len );
|
|
|
+
|
|
|
+ // now we verify the authentication tag in 'constant time'
|
|
|
+ for( diff = 0, i = 0; i < tag_len; i++ )
|
|
|
+ diff |= tag[i] ^ check_tag[i];
|
|
|
+
|
|
|
+ if( diff != 0 ) { // see whether any bits differed?
|
|
|
+ memset( output, 0, length ); // if so... wipe the output data
|
|
|
+ return( GCM_AUTH_FAILURE ); // return GCM_AUTH_FAILURE
|
|
|
+ }
|
|
|
+ return( 0 );
|
|
|
+}
|
|
|
+
|
|
|
+/******************************************************************************
|
|
|
+ *
|
|
|
+ * GCM_ZERO_CTX
|
|
|
+ *
|
|
|
+ * The GCM context contains both the GCM context and the AES context.
|
|
|
+ * This includes keying and key-related material which is security-
|
|
|
+ * sensitive, so it MUST be zeroed after use. This function does that.
|
|
|
+ *
|
|
|
+ ******************************************************************************/
|
|
|
+void gcm_zero_ctx( gcm_context *ctx )
|
|
|
+{
|
|
|
+ // zero the context originally provided to us
|
|
|
+ memset( ctx, 0, sizeof( gcm_context ) );
|
|
|
+}
|