Added ECC functions on elliptic curve secp256r1

This commit is contained in:
Lars Schmertmann 2015-09-22 09:58:38 +02:00
parent aecb591d12
commit 17ff3bb466
6 changed files with 3311 additions and 0 deletions

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CONTIKI = ../..
TARGET = econotag
all: econotag-ecc-test
APPS += ecc
include $(CONTIKI)/Makefile.include

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ecc_src = ecc.c

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/*
* Copyright (c) 2015, Lars Schmertmann <SmallLars@t-online.de>,
* Jens Trillmann <jtrillma@informatik.uni-bremen.de>.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. 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.
*
* 3. Neither the name of the copyright holder 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 HOLDER 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.
*
* This file is part of the Contiki operating system.
*
*/
/**
* \file
* Calculations on elliptic curve secp256r1
*
* This is a efficient ECC implementation on the secp256r1 curve for
* 32 Bit CPU architectures. It provides basic operations on the
* secp256r1 curve and support for ECDH and ECDSA.
*
* \author
* Lars Schmertmann <SmallLars@t-online.de>
* Jens Trillmann <jtrillma@informatik.uni-bremen.de>
*/
#ifndef ECC_H_
#define ECC_H_
#include <stdint.h>
/**
* \brief Checks if a (random) number is valid as scalar on elliptic curve secp256r1
*
* A (random) number is only usable as scalar on elliptic curve secp256r1 if
* it is lower than the order of the curve. For the check, you need to provide
* the order of elliptic curve secp256r1.
*
* uint32_t order[8] = {0xFC632551, 0xF3B9CAC2, 0xA7179E84, 0xBCE6FAAD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0xFFFFFFFF};
*
* \param key The (random) number to check for usability
* \param order The order of elliptic curve secp256r1
*
* \return 1 if key is valid
*/
#define ecc_is_valid_key(key, order) (ecc_compare(order, key) == 1)
/**
* \brief Compares the value of a with the value of b
*
* This function is only public because its needed for the macro ecc_is_valid_key.
* It does a comparison of two 256 bit numbers. The return values are 1, 0 or -1.
*
* \param a First number
* \param b Second number
*
* \return 1 if a is greater than b
0 if a is equal to b
-1 if a is less than b
*/
int32_t ecc_compare(const uint32_t *a, const uint32_t *b);
/**
* \brief ECC scalar multiplication on elliptic curve secp256r1
*
* This function does a scalar multiplication on elliptic curve secp256r1.
* For an Elliptic curve DiffieHellman you need two multiplications. First one
* with the base point of elliptic curve secp256r1 you need to provide.
*
* uint32_t base_x[8] = {0xd898c296, 0xf4a13945, 0x2deb33a0, 0x77037d81, 0x63a440f2, 0xf8bce6e5, 0xe12c4247, 0x6b17d1f2};
* uint32_t base_y[8] = {0x37bf51f5, 0xcbb64068, 0x6b315ece, 0x2bce3357, 0x7c0f9e16, 0x8ee7eb4a, 0xfe1a7f9b, 0x4fe342e2};
*
* \param resultx Pointer to memory to store the x-coordinate of the result
* \param resulty Pointer to memory to store the y-coordinate of the result
* \param px x-coordinate of the point to multiply with scalar
* \param py y-coordinate of the point to multiply with scalar
* \param secret Scalar for multiplication with elliptic curve point
*/
void ecc_ec_mult(uint32_t *resultx, uint32_t *resulty, const uint32_t *px, const uint32_t *py, const uint32_t *secret);
#endif /* ECC_H_ */

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@ -9,6 +9,7 @@ er-rest-example/econotag \
webserver-ipv6/econotag \
ipv6/multicast/econotag \
econotag-flash-test/econotag \
econotag-ecc-test/econotag \
TOOLS=