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<div class="title">rw.cpp</div> </div>
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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">// rw.cpp - written and placed in the public domain by Wei Dai</span>
<a name="l00002"></a>00002
<a name="l00003"></a>00003 <span class="preprocessor">#include "pch.h"</span>
<a name="l00004"></a>00004 <span class="preprocessor">#include "<a class="code" href="rw_8h.html" title="This file contains classes that implement the Rabin-Williams signature schemes as defined in IEEE P13...">rw.h</a>"</span>
<a name="l00005"></a>00005 <span class="preprocessor">#include "nbtheory.h"</span>
<a name="l00006"></a>00006 <span class="preprocessor">#include "asn.h"</span>
<a name="l00007"></a>00007
<a name="l00008"></a>00008 <span class="preprocessor">#ifndef CRYPTOPP_IMPORTS</span>
<a name="l00009"></a>00009 <span class="preprocessor"></span>
<a name="l00010"></a>00010 NAMESPACE_BEGIN(CryptoPP)
<a name="l00011"></a>00011
<a name="l00012"></a>00012 void <a class="code" href="class_r_w_function.html" title="_">RWFunction</a>::BERDecode(<a class="code" href="class_buffered_transformation.html" title="interface for buffered transformations">BufferedTransformation</a> &bt)
<a name="l00013"></a>00013 {
<a name="l00014"></a>00014 <a class="code" href="class_b_e_r_sequence_decoder.html" title="BER Sequence Decoder.">BERSequenceDecoder</a> seq(bt);
<a name="l00015"></a>00015 m_n.BERDecode(seq);
<a name="l00016"></a>00016 seq.MessageEnd();
<a name="l00017"></a>00017 }
<a name="l00018"></a>00018
<a name="l00019"></a>00019 <span class="keywordtype">void</span> RWFunction::DEREncode(<a class="code" href="class_buffered_transformation.html" title="interface for buffered transformations">BufferedTransformation</a> &bt)<span class="keyword"> const</span>
<a name="l00020"></a>00020 <span class="keyword"></span>{
<a name="l00021"></a>00021 <a class="code" href="class_d_e_r_sequence_encoder.html" title="DER Sequence Encoder.">DERSequenceEncoder</a> seq(bt);
<a name="l00022"></a>00022 m_n.<a class="code" href="class_integer.html#a6ab51a05bee88cfa690179611e8a084e" title="encode using Distinguished Encoding Rules, put result into a BufferedTransformation object...">DEREncode</a>(seq);
<a name="l00023"></a>00023 seq.MessageEnd();
<a name="l00024"></a>00024 }
<a name="l00025"></a>00025
<a name="l00026"></a>00026 <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> RWFunction::ApplyFunction(<span class="keyword">const</span> <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> &in)<span class="keyword"> const</span>
<a name="l00027"></a>00027 <span class="keyword"></span>{
<a name="l00028"></a>00028 DoQuickSanityCheck();
<a name="l00029"></a>00029
<a name="l00030"></a>00030 <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> out = in.Squared()%m_n;
<a name="l00031"></a>00031 <span class="keyword">const</span> word r = 12;
<a name="l00032"></a>00032 <span class="comment">// this code was written to handle both r = 6 and r = 12,</span>
<a name="l00033"></a>00033 <span class="comment">// but now only r = 12 is used in P1363</span>
<a name="l00034"></a>00034 <span class="keyword">const</span> word r2 = r/2;
<a name="l00035"></a>00035 <span class="keyword">const</span> word r3a = (16 + 5 - r) % 16; <span class="comment">// n%16 could be 5 or 13</span>
<a name="l00036"></a>00036 <span class="keyword">const</span> word r3b = (16 + 13 - r) % 16;
<a name="l00037"></a>00037 <span class="keyword">const</span> word r4 = (8 + 5 - r/2) % 8; <span class="comment">// n%8 == 5</span>
<a name="l00038"></a>00038 <span class="keywordflow">switch</span> (out % 16)
<a name="l00039"></a>00039 {
<a name="l00040"></a>00040 <span class="keywordflow">case</span> r:
<a name="l00041"></a>00041 <span class="keywordflow">break</span>;
<a name="l00042"></a>00042 <span class="keywordflow">case</span> r2:
<a name="l00043"></a>00043 <span class="keywordflow">case</span> r2+8:
<a name="l00044"></a>00044 out <<= 1;
<a name="l00045"></a>00045 <span class="keywordflow">break</span>;
<a name="l00046"></a>00046 <span class="keywordflow">case</span> r3a:
<a name="l00047"></a>00047 <span class="keywordflow">case</span> r3b:
<a name="l00048"></a>00048 out.Negate();
<a name="l00049"></a>00049 out += m_n;
<a name="l00050"></a>00050 <span class="keywordflow">break</span>;
<a name="l00051"></a>00051 <span class="keywordflow">case</span> r4:
<a name="l00052"></a>00052 <span class="keywordflow">case</span> r4+8:
<a name="l00053"></a>00053 out.Negate();
<a name="l00054"></a>00054 out += m_n;
<a name="l00055"></a>00055 out <<= 1;
<a name="l00056"></a>00056 <span class="keywordflow">break</span>;
<a name="l00057"></a>00057 <span class="keywordflow">default</span>:
<a name="l00058"></a>00058 out = <a class="code" href="class_integer.html#a19b7e6d48b1b57bd4846160ea2928175" title="avoid calling constructors for these frequently used integers">Integer::Zero</a>();
<a name="l00059"></a>00059 }
<a name="l00060"></a>00060 <span class="keywordflow">return</span> out;
<a name="l00061"></a>00061 }
<a name="l00062"></a>00062
<a name="l00063"></a><a class="code" href="class_r_w_function.html#a6280452ff21d540667c6b3f08faba0c9">00063</a> <span class="keywordtype">bool</span> <a class="code" href="class_r_w_function.html#a6280452ff21d540667c6b3f08faba0c9" title="check this object for errors">RWFunction::Validate</a>(<a class="code" href="class_random_number_generator.html" title="interface for random number generators">RandomNumberGenerator</a> &rng, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level)<span class="keyword"> const</span>
<a name="l00064"></a>00064 <span class="keyword"></span>{
<a name="l00065"></a>00065 <span class="keywordtype">bool</span> pass = <span class="keyword">true</span>;
<a name="l00066"></a>00066 pass = pass && m_n > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638" title="avoid calling constructors for these frequently used integers">Integer::One</a>() && m_n%8 == 5;
<a name="l00067"></a>00067 <span class="keywordflow">return</span> pass;
<a name="l00068"></a>00068 }
<a name="l00069"></a>00069
<a name="l00070"></a><a class="code" href="class_r_w_function.html#a0c9efa849855d8aa9c907d84d3aebd42">00070</a> <span class="keywordtype">bool</span> <a class="code" href="class_r_w_function.html#a0c9efa849855d8aa9c907d84d3aebd42" title="to be implemented by derived classes, users should use one of the above functions instead...">RWFunction::GetVoidValue</a>(<span class="keyword">const</span> <span class="keywordtype">char</span> *name, <span class="keyword">const</span> std::type_info &valueType, <span class="keywordtype">void</span> *pValue)<span class="keyword"> const</span>
<a name="l00071"></a>00071 <span class="keyword"></span>{
<a name="l00072"></a>00072 <span class="keywordflow">return</span> GetValueHelper(<span class="keyword">this</span>, name, valueType, pValue).Assignable()
<a name="l00073"></a>00073 CRYPTOPP_GET_FUNCTION_ENTRY(Modulus)
<a name="l00074"></a>00074 ;
<a name="l00075"></a>00075 }
<a name="l00076"></a>00076
<a name="l00077"></a><a class="code" href="class_r_w_function.html#a99293c55c055b338bd7c783a7b8c0484">00077</a> <span class="keywordtype">void</span> <a class="code" href="class_r_w_function.html#a99293c55c055b338bd7c783a7b8c0484" title="assign values from source to this object">RWFunction::AssignFrom</a>(<span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html" title="interface for retrieving values given their names">NameValuePairs</a> &source)
<a name="l00078"></a>00078 {
<a name="l00079"></a>00079 AssignFromHelper(<span class="keyword">this</span>, source)
<a name="l00080"></a>00080 CRYPTOPP_SET_FUNCTION_ENTRY(Modulus)
<a name="l00081"></a>00081 ;
<a name="l00082"></a>00082 }
<a name="l00083"></a>00083
<a name="l00084"></a>00084 <span class="comment">// *****************************************************************************</span>
<a name="l00085"></a>00085 <span class="comment">// private key operations:</span>
<a name="l00086"></a>00086
<a name="l00087"></a>00087 <span class="comment">// generate a random private key</span>
<a name="l00088"></a><a class="code" href="class_invertible_r_w_function.html#a8953bb59727e0ae2d79071874a793c48">00088</a> <span class="keywordtype">void</span> <a class="code" href="class_invertible_r_w_function.html#a8953bb59727e0ae2d79071874a793c48">InvertibleRWFunction::GenerateRandom</a>(<a class="code" href="class_random_number_generator.html" title="interface for random number generators">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html" title="interface for retrieving values given their names">NameValuePairs</a> &alg)
<a name="l00089"></a>00089 {
<a name="l00090"></a>00090 <span class="keywordtype">int</span> modulusSize = 2048;
<a name="l00091"></a>00091 alg.<a class="code" href="class_name_value_pairs.html#a39b6daefcabcdd07f5ae482a075e1728" title="get a named value with type int">GetIntValue</a>(<span class="stringliteral">"ModulusSize"</span>, modulusSize) || alg.<a class="code" href="class_name_value_pairs.html#a39b6daefcabcdd07f5ae482a075e1728" title="get a named value with type int">GetIntValue</a>(<span class="stringliteral">"KeySize"</span>, modulusSize);
<a name="l00092"></a>00092
<a name="l00093"></a>00093 <span class="keywordflow">if</span> (modulusSize < 16)
<a name="l00094"></a>00094 <span class="keywordflow">throw</span> <a class="code" href="class_invalid_argument.html" title="exception thrown when an invalid argument is detected">InvalidArgument</a>(<span class="stringliteral">"InvertibleRWFunction: specified modulus length is too small"</span>);
<a name="l00095"></a>00095
<a name="l00096"></a>00096 <a class="code" href="class_algorithm_parameters.html">AlgorithmParameters</a> primeParam = MakeParametersForTwoPrimesOfEqualSize(modulusSize);
<a name="l00097"></a>00097 m_p.GenerateRandom(rng, <a class="code" href="class_combined_name_value_pairs.html">CombinedNameValuePairs</a>(primeParam, MakeParameters(<span class="stringliteral">"EquivalentTo"</span>, 3)(<span class="stringliteral">"Mod"</span>, 8)));
<a name="l00098"></a>00098 m_q.GenerateRandom(rng, <a class="code" href="class_combined_name_value_pairs.html">CombinedNameValuePairs</a>(primeParam, MakeParameters(<span class="stringliteral">"EquivalentTo"</span>, 7)(<span class="stringliteral">"Mod"</span>, 8)));
<a name="l00099"></a>00099
<a name="l00100"></a>00100 m_n = m_p * m_q;
<a name="l00101"></a>00101 m_u = m_q.<a class="code" href="class_integer.html#a881f9c714ee42f35718725a43d4d7db3" title="calculate multiplicative inverse of *this mod n">InverseMod</a>(m_p);
<a name="l00102"></a>00102 }
<a name="l00103"></a>00103
<a name="l00104"></a>00104 <span class="keywordtype">void</span> InvertibleRWFunction::BERDecode(<a class="code" href="class_buffered_transformation.html" title="interface for buffered transformations">BufferedTransformation</a> &bt)
<a name="l00105"></a>00105 {
<a name="l00106"></a>00106 <a class="code" href="class_b_e_r_sequence_decoder.html" title="BER Sequence Decoder.">BERSequenceDecoder</a> seq(bt);
<a name="l00107"></a>00107 m_n.BERDecode(seq);
<a name="l00108"></a>00108 m_p.BERDecode(seq);
<a name="l00109"></a>00109 m_q.BERDecode(seq);
<a name="l00110"></a>00110 m_u.BERDecode(seq);
<a name="l00111"></a>00111 seq.MessageEnd();
<a name="l00112"></a>00112 }
<a name="l00113"></a>00113
<a name="l00114"></a>00114 <span class="keywordtype">void</span> InvertibleRWFunction::DEREncode(<a class="code" href="class_buffered_transformation.html" title="interface for buffered transformations">BufferedTransformation</a> &bt)<span class="keyword"> const</span>
<a name="l00115"></a>00115 <span class="keyword"></span>{
<a name="l00116"></a>00116 <a class="code" href="class_d_e_r_sequence_encoder.html" title="DER Sequence Encoder.">DERSequenceEncoder</a> seq(bt);
<a name="l00117"></a>00117 m_n.<a class="code" href="class_integer.html#a6ab51a05bee88cfa690179611e8a084e" title="encode using Distinguished Encoding Rules, put result into a BufferedTransformation object...">DEREncode</a>(seq);
<a name="l00118"></a>00118 m_p.<a class="code" href="class_integer.html#a6ab51a05bee88cfa690179611e8a084e" title="encode using Distinguished Encoding Rules, put result into a BufferedTransformation object...">DEREncode</a>(seq);
<a name="l00119"></a>00119 m_q.<a class="code" href="class_integer.html#a6ab51a05bee88cfa690179611e8a084e" title="encode using Distinguished Encoding Rules, put result into a BufferedTransformation object...">DEREncode</a>(seq);
<a name="l00120"></a>00120 m_u.<a class="code" href="class_integer.html#a6ab51a05bee88cfa690179611e8a084e" title="encode using Distinguished Encoding Rules, put result into a BufferedTransformation object...">DEREncode</a>(seq);
<a name="l00121"></a>00121 seq.MessageEnd();
<a name="l00122"></a>00122 }
<a name="l00123"></a>00123
<a name="l00124"></a>00124 <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> InvertibleRWFunction::CalculateInverse(<a class="code" href="class_random_number_generator.html" title="interface for random number generators">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> &x)<span class="keyword"> const</span>
<a name="l00125"></a>00125 <span class="keyword"></span>{
<a name="l00126"></a>00126 DoQuickSanityCheck();
<a name="l00127"></a>00127 <a class="code" href="class_modular_arithmetic.html" title="ring of congruence classes modulo n">ModularArithmetic</a> modn(m_n);
<a name="l00128"></a>00128 <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> r, rInv;
<a name="l00129"></a>00129 <span class="keywordflow">do</span> { <span class="comment">// do this in a loop for people using small numbers for testing</span>
<a name="l00130"></a>00130 r.Randomize(rng, <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638" title="avoid calling constructors for these frequently used integers">Integer::One</a>(), m_n - <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638" title="avoid calling constructors for these frequently used integers">Integer::One</a>());
<a name="l00131"></a>00131 rInv = modn.<a class="code" href="class_integer.html#a94954b3df8073387d225be1033b0fa5b" title="return inverse if 1 or -1, otherwise return 0">MultiplicativeInverse</a>(r);
<a name="l00132"></a>00132 } <span class="keywordflow">while</span> (rInv.IsZero());
<a name="l00133"></a>00133 <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> re = modn.Square(r);
<a name="l00134"></a>00134 re = modn.Multiply(re, x); <span class="comment">// blind</span>
<a name="l00135"></a>00135
<a name="l00136"></a>00136 <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> cp=re%m_p, cq=re%m_q;
<a name="l00137"></a>00137 <span class="keywordflow">if</span> (Jacobi(cp, m_p) * Jacobi(cq, m_q) != 1)
<a name="l00138"></a>00138 {
<a name="l00139"></a>00139 cp = cp.IsOdd() ? (cp+m_p) >> 1 : cp >> 1;
<a name="l00140"></a>00140 cq = cq.IsOdd() ? (cq+m_q) >> 1 : cq >> 1;
<a name="l00141"></a>00141 }
<a name="l00142"></a>00142
<a name="l00143"></a>00143 <span class="preprocessor"> #pragma omp parallel</span>
<a name="l00144"></a>00144 <span class="preprocessor"></span><span class="preprocessor"> #pragma omp sections</span>
<a name="l00145"></a>00145 <span class="preprocessor"></span> {
<a name="l00146"></a>00146 <span class="preprocessor"> #pragma omp section</span>
<a name="l00147"></a>00147 <span class="preprocessor"></span> cp = ModularSquareRoot(cp, m_p);
<a name="l00148"></a>00148 <span class="preprocessor"> #pragma omp section</span>
<a name="l00149"></a>00149 <span class="preprocessor"></span> cq = ModularSquareRoot(cq, m_q);
<a name="l00150"></a>00150 }
<a name="l00151"></a>00151
<a name="l00152"></a>00152 <a class="code" href="class_integer.html" title="multiple precision integer and basic arithmetics">Integer</a> y = CRT(cq, m_q, cp, m_p, m_u);
<a name="l00153"></a>00153 y = modn.Multiply(y, rInv); <span class="comment">// unblind</span>
<a name="l00154"></a>00154 y = STDMIN(y, m_n-y);
<a name="l00155"></a>00155 <span class="keywordflow">if</span> (ApplyFunction(y) != x) <span class="comment">// check</span>
<a name="l00156"></a>00156 <span class="keywordflow">throw</span> <a class="code" href="class_exception.html" title="base class for all exceptions thrown by Crypto++">Exception</a>(<a class="code" href="class_exception.html#a8e53909d979479380e0274807c074c0aa27d9ee7704100a88e4ae4adcc4072015" title="some error not belong to any of the above categories">Exception::OTHER_ERROR</a>, <span class="stringliteral">"InvertibleRWFunction: computational error during private key operation"</span>);
<a name="l00157"></a>00157 <span class="keywordflow">return</span> y;
<a name="l00158"></a>00158 }
<a name="l00159"></a>00159
<a name="l00160"></a><a class="code" href="class_invertible_r_w_function.html#a7f5052834d9716bfc3a5585c6addbd46">00160</a> <span class="keywordtype">bool</span> <a class="code" href="class_invertible_r_w_function.html#a7f5052834d9716bfc3a5585c6addbd46" title="check this object for errors">InvertibleRWFunction::Validate</a>(<a class="code" href="class_random_number_generator.html" title="interface for random number generators">RandomNumberGenerator</a> &rng, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> level)<span class="keyword"> const</span>
<a name="l00161"></a>00161 <span class="keyword"></span>{
<a name="l00162"></a>00162 <span class="keywordtype">bool</span> pass = <a class="code" href="class_invertible_r_w_function.html#a7f5052834d9716bfc3a5585c6addbd46" title="check this object for errors">RWFunction::Validate</a>(rng, level);
<a name="l00163"></a>00163 pass = pass && m_p > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638" title="avoid calling constructors for these frequently used integers">Integer::One</a>() && m_p%8 == 3 && m_p < m_n;
<a name="l00164"></a>00164 pass = pass && m_q > <a class="code" href="class_integer.html#a8c070592581bf6c2f928c72bfa1c1638" title="avoid calling constructors for these frequently used integers">Integer::One</a>() && m_q%8 == 7 && m_q < m_n;
<a name="l00165"></a>00165 pass = pass && m_u.IsPositive() && m_u < m_p;
<a name="l00166"></a>00166 <span class="keywordflow">if</span> (level >= 1)
<a name="l00167"></a>00167 {
<a name="l00168"></a>00168 pass = pass && m_p * m_q == m_n;
<a name="l00169"></a>00169 pass = pass && m_u * m_q % m_p == 1;
<a name="l00170"></a>00170 }
<a name="l00171"></a>00171 <span class="keywordflow">if</span> (level >= 2)
<a name="l00172"></a>00172 pass = pass && VerifyPrime(rng, m_p, level-2) && VerifyPrime(rng, m_q, level-2);
<a name="l00173"></a>00173 <span class="keywordflow">return</span> pass;
<a name="l00174"></a>00174 }
<a name="l00175"></a>00175
<a name="l00176"></a><a class="code" href="class_invertible_r_w_function.html#abd17ed1b135d340abc325046eebef6ac">00176</a> <span class="keywordtype">bool</span> <a class="code" href="class_invertible_r_w_function.html#abd17ed1b135d340abc325046eebef6ac" title="to be implemented by derived classes, users should use one of the above functions instead...">InvertibleRWFunction::GetVoidValue</a>(<span class="keyword">const</span> <span class="keywordtype">char</span> *name, <span class="keyword">const</span> std::type_info &valueType, <span class="keywordtype">void</span> *pValue)<span class="keyword"> const</span>
<a name="l00177"></a>00177 <span class="keyword"></span>{
<a name="l00178"></a>00178 <span class="keywordflow">return</span> GetValueHelper<RWFunction>(<span class="keyword">this</span>, name, valueType, pValue).Assignable()
<a name="l00179"></a>00179 CRYPTOPP_GET_FUNCTION_ENTRY(Prime1)
<a name="l00180"></a>00180 CRYPTOPP_GET_FUNCTION_ENTRY(Prime2)
<a name="l00181"></a>00181 CRYPTOPP_GET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
<a name="l00182"></a>00182 ;
<a name="l00183"></a>00183 }
<a name="l00184"></a>00184
<a name="l00185"></a><a class="code" href="class_invertible_r_w_function.html#a56b0314b678c58228671d3c9049f86db">00185</a> <span class="keywordtype">void</span> <a class="code" href="class_invertible_r_w_function.html#a56b0314b678c58228671d3c9049f86db" title="assign values from source to this object">InvertibleRWFunction::AssignFrom</a>(<span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html" title="interface for retrieving values given their names">NameValuePairs</a> &source)
<a name="l00186"></a>00186 {
<a name="l00187"></a>00187 AssignFromHelper<RWFunction>(<span class="keyword">this</span>, source)
<a name="l00188"></a>00188 CRYPTOPP_SET_FUNCTION_ENTRY(Prime1)
<a name="l00189"></a>00189 CRYPTOPP_SET_FUNCTION_ENTRY(Prime2)
<a name="l00190"></a>00190 CRYPTOPP_SET_FUNCTION_ENTRY(MultiplicativeInverseOfPrime2ModPrime1)
<a name="l00191"></a>00191 ;
<a name="l00192"></a>00192 }
<a name="l00193"></a>00193
<a name="l00194"></a>00194 NAMESPACE_END
<a name="l00195"></a>00195
<a name="l00196"></a>00196 <span class="preprocessor">#endif</span>
</pre></div></div>
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