crypto/weakcrypto/test/tasymmetric/cryptopp/exponentiate.cpp
author Santosh Patil <santosh.v.patil@nokia.com>
Wed, 08 Jul 2009 11:25:26 +0100
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Move the Security package to EPL, and add the implementations of the cryptographic algorithms
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/*
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* Copyright (c) 2005-2009 Nokia Corporation and/or its subsidiary(-ies).
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* All rights reserved.
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* This component and the accompanying materials are made available
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* under the terms of the License "Eclipse Public License v1.0"
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* which accompanies this distribution, and is available
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* at the URL "http://www.eclipse.org/legal/epl-v10.html".
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*
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* Initial Contributors:
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* Nokia Corporation - initial contribution.
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*
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* Contributors:
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*
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* Description: 
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*
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*/
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/**
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 @file
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*/
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#include "modarith.h"
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#include "nbtheory.h"
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#include <iostream.h>
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USING_NAMESPACE(CryptoPP)
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void CheckEPOCDecrypt(Integer& e, Integer& p, Integer& q, Integer& cipher, Integer& expectedPlaintext);
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void TestRSASigning()
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{
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	const Integer m("AA36ABCE88ACFDFF55523C7FC4523F90EFA00DF3774A259F2E62B4C5D99CB5ADB300A0285E5301930E0C70FB6876939CE616CE624A11E0086D341EBCACA0A1F5h");
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	const Integer d("0A033748626487695F5F30BC38B98B44C2CD2DFF434098CD20D8A138D090BF64797C3FA7A2CDCB3CD1E0BDBA2654B4F9DF8E8AE59D733D9F33B301624AFD1D51h");
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	const Integer e(17);
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//	Take EPOC padded plain text, sign and verify
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	const Integer plain("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF0054859B342C49EA2Ah");
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	const Integer expectedSig("786C08484F59280886A19919BECA53711819B2D2DD82D702E2F6DE991DC89CB968C01B1315A742B5BE783A781B5B1286F46DAFE29DE675C64A3BA4781DEF8F19h");
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//	Private Encrypt (Sign) signedText = (digest ^ d) mod m
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	Integer cipher_privateEncrypt = a_exp_b_mod_c(plain, d, m);
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	assert(cipher_privateEncrypt==expectedSig);
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//	Public Decrypt (Decrypt) = (signedText ^ e) mod m
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	Integer verified = a_exp_b_mod_c(cipher_privateEncrypt, e, m);
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	assert(verified==plain);
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//	Now reverse operations (as in previous bugged asymmetric) and check results...
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//	Do a private decrypt for bad signing
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	Integer badSign = a_exp_b_mod_c(plain, d, m);
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	assert(badSign==expectedSig);
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//	And verify (public encryption)
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	Integer badVerify = a_exp_b_mod_c(badSign, e, m);
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	assert(badVerify==plain);
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}
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void TestRSADecryptValues()
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{
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//	First test a good set
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/*	<modulus>BBF82F090682CE9C2338AC2B9DA871F7368D07EED41043A440D6B6F07454F51FB8DFBAAF035C02AB61EA48CEEB6FCD4876ED520D60E1EC4619719D8A5B8B807FAFB8E0A3DFC737723EE6B4B7D93A2584EE6A649D060953748834B2454598394EE0AAB12D7B61A51F527A9A41F6C1687FE2537298CA2A8F5946F8E5FD091DBDCB</modulus>
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	<P>EECFAE81B1B9B3C908810B10A1B5600199EB9F44AEF4FDA493B81A9E3D84F632124EF0236E5D1E3B7E28FAE7AA040A2D5B252176459D1F397541BA2A58FB6599</P>
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	<Q>C97FB1F027F453F6341233EAAAD1D9353F6C42D08866B1D05A0F2035028B9D869840B41666B42E92EA0DA3B43204B5CFCE3352524D0416A5A441E700AF461503</Q>
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	<dP>54494CA63EBA0337E4E24023FCD69A5AEB07DDDC0183A4D0AC9B54B051F2B13ED9490975EAB77414FF59C1F7692E9A2E202B38FC910A474174ADC93C1F67C981</dP>
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	<dQ>471E0290FF0AF0750351B7F878864CA961ADBD3A8A7E991C5C0556A94C3146A7F9803F8F6F8AE342E931FD8AE47A220D1B99A495849807FE39F9245A9836DA3D</dQ>
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	<qInv>B06C4FDABB6301198D265BDBAE9423B380F271F73453885093077FCD39E2119FC98632154F5883B167A967BF402B4E9E2E0F9656E698EA3666EDFB25798039F7</qInv>
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	<plaintext>D436E99569FD32A7C8A05BBC90D32C49</plaintext>
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	<ciphertext>4B9C35BC3CA99B3908EF91C91F4D661544B5462CB3079D7B7A610B90039602F080417B049B7F31BAF16A87B59986620EC1BBD791AD30774309C05F0AFA24B0BF1EA1FEAA3A8EFA2C24F5626B8A9C9A157C1018DA54D314E728E2DB75E84FB5E99082561D904139B95C4DA70A5AB6412527B97CEDA04C6FB00BE1E44537706FF2</ciphertext>
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*/
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	Integer e1 = Integer(17);
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	Integer p1 = Integer("EECFAE81B1B9B3C908810B10A1B5600199EB9F44AEF4FDA493B81A9E3D84F632124EF0236E5D1E3B7E28FAE7AA040A2D5B252176459D1F397541BA2A58FB6599h");
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	Integer q1 = Integer("C97FB1F027F453F6341233EAAAD1D9353F6C42D08866B1D05A0F2035028B9D869840B41666B42E92EA0DA3B43204B5CFCE3352524D0416A5A441E700AF461503h");
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	Integer cipher1 = Integer("4B9C35BC3CA99B3908EF91C91F4D661544B5462CB3079D7B7A610B90039602F080417B049B7F31BAF16A87B59986620EC1BBD791AD30774309C05F0AFA24B0BF1EA1FEAA3A8EFA2C24F5626B8A9C9A157C1018DA54D314E728E2DB75E84FB5E99082561D904139B95C4DA70A5AB6412527B97CEDA04C6FB00BE1E44537706FF2h");
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	Integer ePlaintext1 = Integer("D436E99569FD32A7C8A05BBC90D32C49h"); 
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	CheckEPOCDecrypt(e1, p1, q1, cipher1, ePlaintext1); 
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//	Now test a bad set
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/*
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	<input>123456789ABCDEF123456789ABCDEF</input>
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	<P>ED49CE92ABF0509006E412AC7F28EEA7626107C3F2456FA18E6513153D6F6003</P>
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	<Q>ED12B5B118CBA1154DC24AE05AAB1E3A33B5E47A3715861697498824E5BCA331</Q>
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	----------- e -----------
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01 00 01 
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	 ----------- P -----------
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ed 49 ce 92 ab f0 50 90 06 e4 12 ac 7f 28 ee a7 62 61 07 c3 f2 45 6f a1 8e 65 13 15 3d 6f 60 03 
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	 ----------- Q -----------
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ed 12 b5 b1 18 cb a1 15 4d c2 4a e0 5a ab 1e 3a 33 b5 e4 7a 37 15 86 16 97 49 88 24 e5 bc a3 31 
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	 ----------- DP -----------
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dc e0 33 15 7c 4e f9 ee d7 3b 3d d6 ab 97 22 6f 54 b8 15 4e 64 1a 16 4b 40 0c fd b2 6b b9 5c 99 
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    95
	 ----------- DQ -----------
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    96
27 65 a3 92 11 a7 cd 56 27 fc f0 ca 85 e6 c7 f8 2e 1d bd 21 5e 44 12 6b 70 aa c4 98 35 21 7b 11 
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diff changeset
    97
	 ----------- QInv -----------
2c201484c85f Move the Security package to EPL, and add the implementations of the cryptographic algorithms
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    98
76 2f 0a 8c fa 16 d8 a6 df 53 0b 1c fa 5f ff 4c 55 a4 4f 52 e1 b6 28 89 1f c9 c9 10 1c d9 73 2d 
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diff changeset
    99
	 ----------- N -----------
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   100
db be ab d7 a5 8e c2 a8 83 17 83 86 9a 2e 07 12 03 1a 5c 0f 87 a8 4b d3 fe 3c 21 91 df 49 4e 2b e4 fa 8d a8 65 e5 c8 c7 49 4d fa c5 5c 6a d2 fc e6 96 2e 3b de 1b 38 28 94 93 04 47 dd a7 49 93 
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   101
	 ----------- ciphertext -----------
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   102
69 3a 72 26 39 cc 70 9c 89 ac dc 24 8c 52 ef 01 dd f7 5a c3 8e bf f9 8d eb ed 25 5e 11 f0 d9 b1 43 de 14 97 d2 34 65 a6 2c 11 13 6e f8 c4 37 81 01 d5 8e 8d ea 0b 33 f2 9f e2 df 68 c4 c7 34 2c 
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diff changeset
   103
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   104
*/
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   105
//	Two primes: p, q
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   106
	Integer e2 = Integer(65537);
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   107
	Integer p2 = Integer("ED49CE92ABF0509006E412AC7F28EEA7626107C3F2456FA18E6513153D6F6003h");
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   108
	Integer q2 = Integer("ED12B5B118CBA1154DC24AE05AAB1E3A33B5E47A3715861697498824E5BCA331h");
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   109
	Integer cipher2 = Integer("693A722639CC709C89ACDC248C52EF01DDF75AC38EBFF98DEBED255E11F0D9B143DE1497D23465A62C11136EF8C4378101D58E8DEA0B33F29FE2DF68C4C7342Ch");
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   110
	Integer ePlaintext2 = Integer("123456789ABCDEF123456789ABCDEFh"); 
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diff changeset
   111
	
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   112
	CheckEPOCDecrypt(e2, p2, q2, cipher2, ePlaintext2);
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   113
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   114
/*
2c201484c85f Move the Security package to EPL, and add the implementations of the cryptographic algorithms
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   115
<modulus>EF6419DC54EC49B7D0524BA675727F6D895A66A9940F3C76B6220A5B9073357D70702C9FC2D6ECA41448356CE562F7FFAF1DA64BA947274BA0D372F5866B69CB</modulus>
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   116
<P>FB4F79F4E8C816B816A817120901AED45D0FD72F3DC4BA6946F790776E8A5845</P>
2c201484c85f Move the Security package to EPL, and add the implementations of the cryptographic algorithms
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   117
<Q>F3DBAF51B232E334964581AE27DE17BFF90A66AE84C2BE95574082880BFF82CF</Q>
2c201484c85f Move the Security package to EPL, and add the implementations of the cryptographic algorithms
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   118
<dP>63D8A1C5B22EBD080AC861D2228DEE9E251344155ADF2C88E34F3CB096D49459</dP>
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   119
<dQ>F145A87EC23B0B059AB08690132DF07DA61F9E5C894A4D5A610B989A9694658D</dQ>
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   120
<qInv>4B8869676360EDC92F0B02F0B93580A570686E7EA3C7D39A5E572AB79314CCBD</qInv>
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   121
<ciphertext>2EAEAE1F07AAD1D3A14C2178397DFECD91C92E963511BE5CDDE8BCA79B47ECEF68F8DD2F8240DE2E05E90E2A75FAA6495CE903DE413D332CFDD2DD83BC8244C5</ciphertext>
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   122
<plaintext>123456789ABCDEF123456789ABCDEF123456789ABCDEF123456789ABCDEF</plaintext>
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   123
*/
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   124
	Integer e3 = Integer(65537);
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   125
	Integer p3 = Integer("FB4F79F4E8C816B816A817120901AED45D0FD72F3DC4BA6946F790776E8A5845h");
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   126
	Integer q3 = Integer("F3DBAF51B232E334964581AE27DE17BFF90A66AE84C2BE95574082880BFF82CFh");
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   127
	Integer cipher3 = Integer("2EAEAE1F07AAD1D3A14C2178397DFECD91C92E963511BE5CDDE8BCA79B47ECEF68F8DD2F8240DE2E05E90E2A75FAA6495CE903DE413D332CFDD2DD83BC8244C5h");
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   128
	Integer ePlaintext3 = Integer("123456789ABCDEF123456789ABCDEF123456789ABCDEF123456789ABCDEFh");
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   129
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   130
	CheckEPOCDecrypt(e3, p3, q3, cipher3, ePlaintext3);
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   131
}
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   132
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   133
void CheckEPOCDecrypt(Integer& e, Integer& p, Integer& q, Integer& cipher, Integer& expectedPlaintext)
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   134
{
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   135
//////////////////////////////////
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   136
//	Key generation
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   137
//////////////////////////////////
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   138
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   139
//	calculate n = p * q 
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   140
	Integer n=p*q;
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   141
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   142
	Integer r1 = p;
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   143
    r1-=1;		//	r1 = p-1
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   144
    
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   145
	Integer r2=q;
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   146
    r2-=1;		//	r2 = q-1
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   147
    
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   148
	Integer r0=r1;
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   149
    r0*=r2;	//	r0 = (p-1)(q-1)
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   150
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   151
//	e * d = 1 mod ((p-1)(q-1)) 
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   152
//	d = e^(-1) mod ((p-1)(q-1))
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   153
//! calculate multiplicative inverse of *this mod n
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   154
//	Integer InverseMod(const Integer &n) const;
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   155
	Integer d = e;
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   156
	d = d.InverseMod(r0);
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   157
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   158
//	calculate dP = d mod (p-1) 
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   159
	Integer dP=d;
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   160
	dP%=r1;
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   161
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   162
//	calculate dQ = d mod (q-1) 
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   163
	Integer dQ=d;
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   164
	dQ%=r2;
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   165
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   166
//	calculate inverse of qInv = q^(-1)mod(p)
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   167
    Integer qInv=q;
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   168
	qInv = qInv.InverseMod(p);
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   169
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   170
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   171
//////////////////////////////////
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   172
//	Decryption
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   173
//////////////////////////////////
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   174
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   175
//	m1 = c^(dP) mod(p)
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   176
	Integer m1 = ModularExponentiation((cipher % p), dP, p);
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   177
	
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   178
//	m2 = c^(dQ) mod(Q)
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   179
	Integer m2 = ModularExponentiation((cipher % q), dQ, q);
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   180
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   181
//	Calculate CRT
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   182
//	h = (m1-m2) qInv mod(p)	
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   183
	Integer plainRes = m1 - m2;
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   184
	plainRes *= qInv;
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   185
	plainRes %= p;
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   186
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   187
//	output = m2 + q * plainRes	
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   188
	plainRes *= q;
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   189
	plainRes += m2;
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   190
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   191
//	assert(expectedPlaintext==plainRes);	//	Not true because ciphertext includes
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   192
}											//	padding and plaintext doesn't. Though
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   193
											//	it's possible to compare the first chunk
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   194
											//	of plainRes with expectedPlaintext
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   195
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int main(int argc, char** argv)
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{
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//	TestRSASigning();
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	TestRSADecryptValues();
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	return 0;
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}