CA2263588A1 - Public key cryptosystem method and apparatus - Google Patents

Public key cryptosystem method and apparatus

Info

Publication number
CA2263588A1
CA2263588A1 CA002263588A CA2263588A CA2263588A1 CA 2263588 A1 CA2263588 A1 CA 2263588A1 CA 002263588 A CA002263588 A CA 002263588A CA 2263588 A CA2263588 A CA 2263588A CA 2263588 A1 CA2263588 A1 CA 2263588A1
Authority
CA
Canada
Prior art keywords
sub
producing
message
mod
public key
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CA002263588A
Other languages
French (fr)
Other versions
CA2263588C (en
Inventor
Jeffrey Hoffstein
Jill Pipher
Joseph H. Silverman
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
NTRU Cryptosystems Inc
Original Assignee
Ntru Cryptosystems, Inc.
Jeffrey Hoffstein
Jill Pipher
Joseph H. Silverman
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Ntru Cryptosystems, Inc., Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman filed Critical Ntru Cryptosystems, Inc.
Publication of CA2263588A1 publication Critical patent/CA2263588A1/en
Application granted granted Critical
Publication of CA2263588C publication Critical patent/CA2263588C/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3093—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving Lattices or polynomial equations, e.g. NTRU scheme

Abstract

This public-key cryptosystem endocing technique uses a mixing system based on polynomial algebra and recuction modulo two numbers while the decoding technique uses an unmixing system whose validity depends on elementary probability theory. A method for encoding and decoding a digital message comprises the steps: selecting ideals p and q of a ring R (305);
generating elements f and g of the ring R (325), and generating an element F sub q which is an inverse of f (mod q), and generating F sub p which is an inverse of f (mod p) (340); producing a public key that includes h (350), where h is congruent, mod q, to a product that can be derived using g and F sub q;
producing a private key from which f and F sub p can be derived; producing an encoded message by encoding the message using the public key and a random element; and producing a decoded message by decoding the encoded message using the private key.
CA002263588A 1996-08-19 1997-08-19 Public key cryptosystem method and apparatus Expired - Fee Related CA2263588C (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US2413396P 1996-08-19 1996-08-19
US60/024,133 1996-08-19
PCT/US1997/015826 WO1998008323A1 (en) 1996-08-19 1997-08-19 Public key cryptosystem method and apparatus

Publications (2)

Publication Number Publication Date
CA2263588A1 true CA2263588A1 (en) 1998-02-26
CA2263588C CA2263588C (en) 2005-01-18

Family

ID=21819032

Family Applications (1)

Application Number Title Priority Date Filing Date
CA002263588A Expired - Fee Related CA2263588C (en) 1996-08-19 1997-08-19 Public key cryptosystem method and apparatus

Country Status (10)

Country Link
US (2) US6081597A (en)
EP (1) EP0920753B1 (en)
JP (1) JP4068664B2 (en)
CN (1) CN1172474C (en)
AU (1) AU716797B2 (en)
CA (1) CA2263588C (en)
DE (1) DE69737097T2 (en)
HK (1) HK1021855A1 (en)
IL (1) IL128552A (en)
WO (1) WO1998008323A1 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7321658B2 (en) 2004-03-31 2008-01-22 Nec Corporation Padding application method ensuring security of cryptosystem and encryptor/decryptor

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Also Published As

Publication number Publication date
EP0920753B1 (en) 2006-12-13
IL128552A (en) 2004-06-01
CA2263588C (en) 2005-01-18
CN1232588A (en) 1999-10-20
HK1021855A1 (en) 2000-07-07
IL128552A0 (en) 2000-01-31
EP0920753A4 (en) 2004-11-10
AU716797B2 (en) 2000-03-09
US6298137B1 (en) 2001-10-02
US6081597A (en) 2000-06-27
DE69737097T2 (en) 2007-07-12
JP2000516733A (en) 2000-12-12
DE69737097D1 (en) 2007-01-25
WO1998008323A1 (en) 1998-02-26
EP0920753A1 (en) 1999-06-09
CN1172474C (en) 2004-10-20
JP4068664B2 (en) 2008-03-26
AU4582897A (en) 1998-03-06

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