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<title>Project Name: RSA Processor </title>
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<p class=MsoNormal><b><span style='font-size:18.0pt;font-family:Helvetica;
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color:#BF0000'>Project Name: RSA Processor</span></b> </p>
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<p><b><span style='font-size:13.5pt'>Description:</span></b> </p>
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<p>RSA ( Rivest Shamir Adleman )is crypthograph system that used to give a
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secret information<span style="mso-spacerun: yes"> </span>and digital
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signature . Its security based on Integer Factorization Problem (IFP). RSA uses
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an asymetric key.</p>
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<p>RSA was created by Rivest, Shamir, and Adleman in 1977. </p>
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<p>Every user have a pair of key, public key and private key.</p>
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<p><b>Public key<span style="mso-spacerun: yes"> </span>(e</b>) . You may choose
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any number for e with these requirements<b>, 1< e <</b><b><span
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style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
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"Times New Roman";mso-char-type:symbol;mso-symbol-font-family:Symbol'><span
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style='mso-char-type:symbol;mso-symbol-font-family:Symbol'>Æ</span></span>(n),</b>
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where <b><span style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";
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mso-hansi-font-family:"Times New Roman";mso-char-type:symbol;mso-symbol-font-family:
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Symbol'><span style='mso-char-type:symbol;mso-symbol-font-family:Symbol'>Æ</span></span>(n)=
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(p-1) (q-1) </b><span style="mso-spacerun: yes"> </span>( p and q are
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first-rate), <b>gcd (e,</b><b><span style='font-family:Symbol;mso-ascii-font-family:
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"Times New Roman";mso-hansi-font-family:"Times New Roman";mso-char-type:symbol;
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mso-symbol-font-family:Symbol'><span style='mso-char-type:symbol;mso-symbol-font-family:
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Symbol'>Æ</span></span>(n))=1</b> (gcd= greatest common divisor).</p>
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<p><b>Private key (d).<span style="mso-spacerun: yes"> </span>d=(1/e) mod(</b><b><span
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style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
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"Times New Roman";mso-char-type:symbol;mso-symbol-font-family:Symbol'><span
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style='mso-char-type:symbol;mso-symbol-font-family:Symbol'>Æ</span></span>(n))<o:p></o:p></b></p>
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<p><b>Encyption (C) . C=Mª<span style="mso-spacerun: yes"> </span>mod(n),</b><span
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style="mso-spacerun: yes"> </span>a = e (public
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key), n=pq</p>
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<p><b>Descryption (D) . D=C° mod(n),</b><span style="mso-spacerun:
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yes"> </span>o = d (private key)<span
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style="mso-spacerun: yes"> </span></p>
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<p><b><span style='font-size:13.5pt'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></b></p>
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<p><b><span style='font-size:13.5pt'>Specifications:</span></b> </p>
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<ul type=disc>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Every user have a pair of
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key, public key and private key.</li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Modulus n-public is integer
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positif k-bit which has wide from 512 until 2048 bit.<span
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style="mso-spacerun: yes"> </span></li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Prime secret numbers p and
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q are about k/2 bit, p and q are formed use its Program Random Generate. </li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Public key<span
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style="mso-spacerun: yes"> </span>(e) is positif integer h-bit. Usually
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it’s not more than 32 bits, the possible smallest number is 3.</li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'>Private key (d) is big
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number. It’s about <span style='font-family:Symbol;mso-ascii-font-family:
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"Times New Roman";mso-hansi-font-family:"Times New Roman";mso-char-type:
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symbol;mso-symbol-font-family:Symbol'><span style='mso-char-type:symbol;
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mso-symbol-font-family:Symbol'>Æ</span></span>(n)-1.</li>
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</ul>
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<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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margin-left:18.0pt'><span style="mso-spacerun: yes"> </span></p>
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<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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margin-left:18.0pt'><![if !supportEmptyParas]> <![endif]><o:p></o:p></p>
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<p class=MsoNormal><b><span style='font-size:13.5pt'>Design Stages:</span></b> </p>
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<ul type=disc>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Make core specifications </li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Design behavioral and
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structural using Alliance tools </li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Converting to symbolic
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layout </li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Full verifications </li>
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<li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'>Converting to real layout </li>
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</ul>
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<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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margin-left:18.0pt'><span style="mso-spacerun: yes"> </span></p>
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<p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
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margin-left:18.0pt'><![if !supportEmptyParas]> <![endif]><o:p></o:p></p>
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<p class=MsoNormal><b><span style='font-size:13.5pt'>Maintainers and Authors :</span></b>
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</p>
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<p class=MsoNormal>*<span style="mso-spacerun: yes"> </span><span
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style="mso-spacerun: yes"> </span><a href="mailto:wishnu@opencores.org">Wishnu
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A.P.</a><span style="mso-spacerun: yes"> </span></p>
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<p class=MsoNormal>* <span style="mso-spacerun: yes"> </span>Sebastian Lee</p>
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<p class=MsoNormal><span style='mso-bidi-font-size:13.5pt'>* </span><b><span
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style='font-size:13.5pt'><span style="mso-spacerun: yes"> </span><span
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style="mso-spacerun: yes"> </span></span></b><span style='mso-bidi-font-size:
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13.5pt'>Mahmud G</span><b><span style='font-size:13.5pt'> <span
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style="mso-spacerun: yes"> </span></span></b><span style='mso-bidi-font-size:
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13.5pt'><o:p></o:p></span></p>
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<p class=MsoNormal><b><span style='font-size:13.5pt'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></b></p>
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<p class=MsoNormal><b><span style='font-size:13.5pt'><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></b></p>
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<p class=MsoNormal><b><span style='font-size:13.5pt'>Mailing-list:</span></b> </p>
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<p class=MsoNormal style='margin-left:36.0pt'><a
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href="mailto:cores@opencores.org_NOSPAM">cores@opencores.org_NOSPAM</a></p>
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<p class=MsoNormal><![if !supportEmptyParas]> <![endif]><o:p></o:p></p>
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</body>
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</html>
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