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File ec_curve.c of Package mingw64-openssl
/* crypto/ec/ec_curve.c */ /* * Written by Nils Larsch for the OpenSSL project. */ /* ==================================================================== * Copyright (c) 1998-2010 The OpenSSL Project. 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. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" * * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to * endorse or promote products derived from this software without * prior written permission. For written permission, please contact * openssl-core@openssl.org. * * 5. Products derived from this software may not be called "OpenSSL" * nor may "OpenSSL" appear in their names without prior written * permission of the OpenSSL Project. * * 6. Redistributions of any form whatsoever must retain the following * acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit (http://www.openssl.org/)" * * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY * EXPRESSED 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 OpenSSL PROJECT OR * ITS 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 product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). * */ /* ==================================================================== * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. * * Portions of the attached software ("Contribution") are developed by * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. * * The Contribution is licensed pursuant to the OpenSSL open source * license provided above. * * The elliptic curve binary polynomial software is originally written by * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. * */ #include <string.h> #include "ec_lcl.h" #include <openssl/err.h> #include <openssl/obj_mac.h> #include <openssl/opensslconf.h> #ifdef OPENSSL_FIPS # include <openssl/fips.h> #endif typedef struct { int field_type, /* either NID_X9_62_prime_field or * NID_X9_62_characteristic_two_field */ seed_len, param_len; unsigned int cofactor; /* promoted to BN_ULONG */ } EC_CURVE_DATA; /* the nist prime curves */ static const struct { EC_CURVE_DATA h; unsigned char data[20 + 48 * 6]; } _EC_NIST_PRIME_384 = { { NID_X9_62_prime_field, 20, 48, 1 }, { /* seed */ 0xA3, 0x35, 0x92, 0x6A, 0xA3, 0x19, 0xA2, 0x7A, 0x1D, 0x00, 0x89, 0x6A, 0x67, 0x73, 0xA4, 0x82, 0x7A, 0xCD, 0xAC, 0x73, /* p */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, /* a */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC, /* b */ 0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4, 0x98, 0x8E, 0x05, 0x6B, 0xE3, 0xF8, 0x2D, 0x19, 0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12, 0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A, 0xC6, 0x56, 0x39, 0x8D, 0x8A, 0x2E, 0xD1, 0x9D, 0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF, /* x */ 0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37, 0x8E, 0xB1, 0xC7, 0x1E, 0xF3, 0x20, 0xAD, 0x74, 0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98, 0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38, 0x55, 0x02, 0xF2, 0x5D, 0xBF, 0x55, 0x29, 0x6C, 0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7, /* y */ 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf, 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c, 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce, 0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f, /* order */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF, 0x58, 0x1A, 0x0D, 0xB2, 0x48, 0xB0, 0xA7, 0x7A, 0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73 } }; static const struct { EC_CURVE_DATA h; unsigned char data[20 + 66 * 6]; } _EC_NIST_PRIME_521 = { { NID_X9_62_prime_field, 20, 66, 1 }, { /* seed */ 0xD0, 0x9E, 0x88, 0x00, 0x29, 0x1C, 0xB8, 0x53, 0x96, 0xCC, 0x67, 0x17, 0x39, 0x32, 0x84, 0xAA, 0xA0, 0xDA, 0x64, 0xBA, /* p */ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* a */ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, /* b */ 0x00, 0x51, 0x95, 0x3E, 0xB9, 0x61, 0x8E, 0x1C, 0x9A, 0x1F, 0x92, 0x9A, 0x21, 0xA0, 0xB6, 0x85, 0x40, 0xEE, 0xA2, 0xDA, 0x72, 0x5B, 0x99, 0xB3, 0x15, 0xF3, 0xB8, 0xB4, 0x89, 0x91, 0x8E, 0xF1, 0x09, 0xE1, 0x56, 0x19, 0x39, 0x51, 0xEC, 0x7E, 0x93, 0x7B, 0x16, 0x52, 0xC0, 0xBD, 0x3B, 0xB1, 0xBF, 0x07, 0x35, 0x73, 0xDF, 0x88, 0x3D, 0x2C, 0x34, 0xF1, 0xEF, 0x45, 0x1F, 0xD4, 0x6B, 0x50, 0x3F, 0x00, /* x */ 0x00, 0xC6, 0x85, 0x8E, 0x06, 0xB7, 0x04, 0x04, 0xE9, 0xCD, 0x9E, 0x3E, 0xCB, 0x66, 0x23, 0x95, 0xB4, 0x42, 0x9C, 0x64, 0x81, 0x39, 0x05, 0x3F, 0xB5, 0x21, 0xF8, 0x28, 0xAF, 0x60, 0x6B, 0x4D, 0x3D, 0xBA, 0xA1, 0x4B, 0x5E, 0x77, 0xEF, 0xE7, 0x59, 0x28, 0xFE, 0x1D, 0xC1, 0x27, 0xA2, 0xFF, 0xA8, 0xDE, 0x33, 0x48, 0xB3, 0xC1, 0x85, 0x6A, 0x42, 0x9B, 0xF9, 0x7E, 0x7E, 0x31, 0xC2, 0xE5, 0xBD, 0x66, /* y */ 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50, /* order */ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFA, 0x51, 0x86, 0x87, 0x83, 0xBF, 0x2F, 0x96, 0x6B, 0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09, 0xA5, 0xD0, 0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C, 0x47, 0xAE, 0xBB, 0x6F, 0xB7, 0x1E, 0x91, 0x38, 0x64, 0x09 } }; static const struct { EC_CURVE_DATA h; unsigned char data[20 + 32 * 6]; } _EC_X9_62_PRIME_256V1 = { { NID_X9_62_prime_field, 20, 32, 1 }, { /* seed */ 0xC4, 0x9D, 0x36, 0x08, 0x86, 0xE7, 0x04, 0x93, 0x6A, 0x66, 0x78, 0xE1, 0x13, 0x9D, 0x26, 0xB7, 0x81, 0x9F, 0x7E, 0x90, /* p */ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* a */ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, /* b */ 0x5A, 0xC6, 0x35, 0xD8, 0xAA, 0x3A, 0x93, 0xE7, 0xB3, 0xEB, 0xBD, 0x55, 0x76, 0x98, 0x86, 0xBC, 0x65, 0x1D, 0x06, 0xB0, 0xCC, 0x53, 0xB0, 0xF6, 0x3B, 0xCE, 0x3C, 0x3E, 0x27, 0xD2, 0x60, 0x4B, /* x */ 0x6B, 0x17, 0xD1, 0xF2, 0xE1, 0x2C, 0x42, 0x47, 0xF8, 0xBC, 0xE6, 0xE5, 0x63, 0xA4, 0x40, 0xF2, 0x77, 0x03, 0x7D, 0x81, 0x2D, 0xEB, 0x33, 0xA0, 0xF4, 0xA1, 0x39, 0x45, 0xD8, 0x98, 0xC2, 0x96, /* y */ 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, 0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce, 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5, /* order */ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84, 0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51 } }; typedef struct _ec_list_element_st { int nid; const EC_CURVE_DATA *data; const EC_METHOD *(*meth) (void); const char *comment; } ec_list_element; static const ec_list_element curve_list[] = { /* prime field curves */ /* secg curves */ /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */ {NID_secp384r1, &_EC_NIST_PRIME_384.h, 0, "NIST/SECG curve over a 384 bit prime field"}, #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 {NID_secp521r1, &_EC_NIST_PRIME_521.h, EC_GFp_nistp521_method, "NIST/SECG curve over a 521 bit prime field"}, #else {NID_secp521r1, &_EC_NIST_PRIME_521.h, 0, "NIST/SECG curve over a 521 bit prime field"}, #endif /* X9.62 curves */ {NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h, #if defined(ECP_NISTZ256_ASM) EC_GFp_nistz256_method, #elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128) EC_GFp_nistp256_method, #else 0, #endif "X9.62/SECG curve over a 256 bit prime field"}, }; #define curve_list_length (sizeof(curve_list)/sizeof(ec_list_element)) static EC_GROUP *ec_group_new_from_data(const ec_list_element curve) { EC_GROUP *group = NULL; EC_POINT *P = NULL; BN_CTX *ctx = NULL; BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order = NULL; int ok = 0; int seed_len, param_len; const EC_METHOD *meth; const EC_CURVE_DATA *data; const unsigned char *params; if ((ctx = BN_CTX_new()) == NULL) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); goto err; } data = curve.data; seed_len = data->seed_len; param_len = data->param_len; params = (const unsigned char *)(data + 1); /* skip header */ params += seed_len; /* skip seed */ if (!(p = BN_bin2bn(params + 0 * param_len, param_len, NULL)) || !(a = BN_bin2bn(params + 1 * param_len, param_len, NULL)) || !(b = BN_bin2bn(params + 2 * param_len, param_len, NULL))) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); goto err; } if (curve.meth != 0) { meth = curve.meth(); if (((group = EC_GROUP_new(meth)) == NULL) || (!(group->meth->group_set_curve(group, p, a, b, ctx)))) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); goto err; } } else if (data->field_type == NID_X9_62_prime_field) { if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); goto err; } } #ifndef OPENSSL_NO_EC2M else { /* field_type == * NID_X9_62_characteristic_two_field */ if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); goto err; } } #endif if ((P = EC_POINT_new(group)) == NULL) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); goto err; } if (!(x = BN_bin2bn(params + 3 * param_len, param_len, NULL)) || !(y = BN_bin2bn(params + 4 * param_len, param_len, NULL))) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); goto err; } if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); goto err; } if (!(order = BN_bin2bn(params + 5 * param_len, param_len, NULL)) || !BN_set_word(x, (BN_ULONG)data->cofactor)) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); goto err; } if (!EC_GROUP_set_generator(group, P, order, x)) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); goto err; } if (seed_len) { if (!EC_GROUP_set_seed(group, params - seed_len, seed_len)) { ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); goto err; } } ok = 1; err: if (!ok) { EC_GROUP_free(group); group = NULL; } if (P) EC_POINT_free(P); if (ctx) BN_CTX_free(ctx); if (p) BN_free(p); if (a) BN_free(a); if (b) BN_free(b); if (order) BN_free(order); if (x) BN_free(x); if (y) BN_free(y); return group; } EC_GROUP *EC_GROUP_new_by_curve_name(int nid) { size_t i; EC_GROUP *ret = NULL; if (nid <= 0) return NULL; for (i = 0; i < curve_list_length; i++) if (curve_list[i].nid == nid) { ret = ec_group_new_from_data(curve_list[i]); break; } if (ret == NULL) { ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP); return NULL; } EC_GROUP_set_curve_name(ret, nid); return ret; } size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems) { size_t i, min; if (r == NULL || nitems == 0) return curve_list_length; min = nitems < curve_list_length ? nitems : curve_list_length; for (i = 0; i < min; i++) { r[i].nid = curve_list[i].nid; r[i].comment = curve_list[i].comment; } return curve_list_length; } /* Functions to translate between common NIST curve names and NIDs */ typedef struct { const char *name; /* NIST Name of curve */ int nid; /* Curve NID */ } EC_NIST_NAME; static EC_NIST_NAME nist_curves[] = { {"B-163", NID_sect163r2}, {"B-233", NID_sect233r1}, {"B-283", NID_sect283r1}, {"B-409", NID_sect409r1}, {"B-571", NID_sect571r1}, {"K-163", NID_sect163k1}, {"K-233", NID_sect233k1}, {"K-283", NID_sect283k1}, {"K-409", NID_sect409k1}, {"K-571", NID_sect571k1}, {"P-192", NID_X9_62_prime192v1}, {"P-224", NID_secp224r1}, {"P-256", NID_X9_62_prime256v1}, {"P-384", NID_secp384r1}, {"P-521", NID_secp521r1} }; const char *EC_curve_nid2nist(int nid) { size_t i; for (i = 0; i < sizeof(nist_curves) / sizeof(EC_NIST_NAME); i++) { if (nist_curves[i].nid == nid) return nist_curves[i].name; } return NULL; } int EC_curve_nist2nid(const char *name) { size_t i; for (i = 0; i < sizeof(nist_curves) / sizeof(EC_NIST_NAME); i++) { if (!strcmp(nist_curves[i].name, name)) return nist_curves[i].nid; } return NID_undef; }
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