Subversion Repositories rsa

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<p class=MsoNormal><b><span style='font-size:18.0pt;font-family:Helvetica;

color:#BF0000'>Project Name: RSA Processor</span></b> </p>

<p><b><span style='font-size:13.5pt'>Description:</span></b> </p>

<p>RSA ( Rivest Shamir Adleman )is crypthograph system that used to give a

secret information<span style="mso-spacerun: yes">  </span>and digital

signature . Its security based on Integer Factorization Problem (IFP). RSA uses

an asymetric key.</p>

<p>RSA was created by Rivest, Shamir, and Adleman in 1977. </p>

<p>Every user have a pair of key, public key and private key.</p>

<p><b>Public key<span style="mso-spacerun: yes">  </span>(e</b>) . You may choose

any number for e with these requirements<b>, 1< e <</b><b><span

style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman";mso-char-type:symbol;mso-symbol-font-family:Symbol'><span

style='mso-char-type:symbol;mso-symbol-font-family:Symbol'>Æ</span></span>(n),</b>

where <b><span style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";

mso-hansi-font-family:"Times New Roman";mso-char-type:symbol;mso-symbol-font-family:

Symbol'><span style='mso-char-type:symbol;mso-symbol-font-family:Symbol'>Æ</span></span>(n)=

(p-1) (q-1) </b><span style="mso-spacerun: yes"> </span>( p and q are

first-rate), <b>gcd (e,</b><b><span style='font-family:Symbol;mso-ascii-font-family:

"Times New Roman";mso-hansi-font-family:"Times New Roman";mso-char-type:symbol;

mso-symbol-font-family:Symbol'><span style='mso-char-type:symbol;mso-symbol-font-family:

Symbol'>Æ</span></span>(n))=1</b> (gcd= greatest common divisor).</p>

<p><b>Private key (d).<span style="mso-spacerun: yes">  </span>d=(1/e) mod(</b><b><span

style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman";mso-char-type:symbol;mso-symbol-font-family:Symbol'><span

style='mso-char-type:symbol;mso-symbol-font-family:Symbol'>Æ</span></span>(n))<o:p></o:p></b></p>

<p><b>Encyption (C) . C=Mª<span style="mso-spacerun: yes">  </span>mod(n),</b><span

style="mso-spacerun: yes">                               </span>a = e (public

key), n=pq</p>

<p><b>Descryption (D) . D=C° mod(n),</b><span style="mso-spacerun:

yes">                             </span>o = d (private key)<span

style="mso-spacerun: yes">  </span></p>

<br>

<p><b><span style='font-size:13.5pt'>Specifications:</span></b> </p>

<ul type=disc>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Every user have a pair of

     key, public key and private key.</li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Modulus n-public is integer

     positif k-bit which has wide from 512 until 2048 bit.<span

     style="mso-spacerun: yes">   </span></li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Prime secret numbers p and

     q are about k/2 bit, p and q are formed use its Program Random Generate. </li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Public key<span

     style="mso-spacerun: yes">  </span>(e) is positif integer h-bit. Usually

     it’s not more than 32 bits, the possible smallest number is 3.</li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Private key (d) is big

     number. It’s about <span style='font-family:Symbol;mso-ascii-font-family:

     "Times New Roman";mso-hansi-font-family:"Times New Roman";mso-char-type:

     symbol;mso-symbol-font-family:Symbol'><span style='mso-char-type:symbol;

     mso-symbol-font-family:Symbol'>Æ</span></span>(n)-1.</li>

</ul>

<p>

<p class=MsoNormal><b><span style='font-size:13.5pt'>Design Stages:</span></b> </p>

<ul type=disc>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Make core specifications </li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Design behavioral and

     structural using Alliance tools </li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Converting to symbolic

     layout </li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Full verifications </li>

 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;

     mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Converting to real layout </li>

</ul>

<p>

<b><span style='font-size:13.5pt'>Maintainers and Authors :</span></b>

</p>

<a href="mailto:wishnu@opencores.org">Wishnu

A.P.</a><span style="mso-spacerun: yes">                            

<br>Sebastian Lee

<br>Mahmud G

<p class=MsoNormal><b><span style='font-size:13.5pt'>Mailing-list:</span></b> </p>

<p class=MsoNormal style='margin-left:36.0pt'><a

href="mailto:cores@opencores.org_NOSPAM">cores@opencores.org_NOSPAM</a></p>

<p class=MsoNormal><![if !supportEmptyParas]> <![endif]><o:p></o:p></p>

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