📄 gf2_8.c
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/* * gf2_8.c * * GF(256) finite field implementation, with the representation used * in the AES cipher. * * David A. McGrew * Cisco Systems, Inc. *//* * * Copyright (c) 2001-2004, Cisco Systems, Inc. * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * Redistributions in binary form must reproduce the above * copyright notice, this list of conditions and the following * disclaimer in the documentation and/or other materials provided * with the distribution. * * Neither the name of the Cisco Systems, Inc. nor the names of its * contributors may be used to endorse or promote products derived * from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT HOLDERS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * */#include "datatypes.h"#include "gf2_8.h"/* * gf2_8_shift(x) returns the result of the GF(2^8) 'multiply by x' * operation, using the field representation from AES. */inline gf2_8gf2_8_shift(gf2_8 input) { if ((input & 128) == 0) return input << 1; else return (input << 1) ^ gf2_8_field_polynomial; }inline gf2_8gf2_8_multiply(gf2_8 x, gf2_8 y) { gf2_8 z = 0; if (y & 1) z ^= x; x = gf2_8_shift(x); if (y & 2) z ^= x; x = gf2_8_shift(x); if (y & 4) z ^= x; x = gf2_8_shift(x); if (y & 8) z ^= x; x = gf2_8_shift(x); if (y & 16) z ^= x; x = gf2_8_shift(x); if (y & 32) z ^= x; x = gf2_8_shift(x); if (y & 64) z ^= x; x = gf2_8_shift(x); if (y & 128) z ^= x; return z;}/* this should use the euclidean algorithm */gf2_8gf2_8_compute_inverse(gf2_8 x) { unsigned int i; if (x == 0) return 0; /* zero is a special case */ for (i=0; i < 256; i++) if (gf2_8_multiply((gf2_8) i, x) == 1) return (gf2_8) i; return 0;}
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