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<!--# include virtual="/ssi/ssi_start.shtml" --> <!--# set var="title" value="RSA Processor" --> <div class=Section1> <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> </div> <!--# include virtual="/ssi/ssi_end.shtml" -->