DE3650335D1 - Rechenverfahren und -gerät für endlichfeldmultiplikation. - Google Patents

Rechenverfahren und -gerät für endlichfeldmultiplikation.

Info

Publication number
DE3650335D1
DE3650335D1 DE3650335T DE3650335T DE3650335D1 DE 3650335 D1 DE3650335 D1 DE 3650335D1 DE 3650335 T DE3650335 T DE 3650335T DE 3650335 T DE3650335 T DE 3650335T DE 3650335 D1 DE3650335 D1 DE 3650335D1
Authority
DE
Germany
Prior art keywords
computing process
field multiplication
final field
final
multiplication
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.)
Expired - Lifetime
Application number
DE3650335T
Other languages
English (en)
Other versions
DE3650335T2 (de
Inventor
Ivan M Onyszchuk
Ronald C Mullin
Scott A Vanstone
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.)
Certicom Corp
Original Assignee
Cryptech Systems Inc
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 Cryptech Systems Inc filed Critical Cryptech Systems Inc
Application granted granted Critical
Publication of DE3650335D1 publication Critical patent/DE3650335D1/de
Publication of DE3650335T2 publication Critical patent/DE3650335T2/de
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/13—Linear codes
    • H03M13/15—Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724—Finite field arithmetic

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Probability & Statistics with Applications (AREA)
  • Algebra (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Error Detection And Correction (AREA)
DE3650335T 1986-12-16 1986-12-16 Rechenverfahren und -gerät für endlichfeldmultiplikation. Expired - Lifetime DE3650335T2 (de)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PCT/US1986/002751 WO1988004805A1 (en) 1986-12-16 1986-12-16 Computational method and apparatus for finite field multiplication

Publications (2)

Publication Number Publication Date
DE3650335D1 true DE3650335D1 (de) 1995-07-20
DE3650335T2 DE3650335T2 (de) 1996-03-21

Family

ID=574512

Family Applications (1)

Application Number Title Priority Date Filing Date
DE3650335T Expired - Lifetime DE3650335T2 (de) 1986-12-16 1986-12-16 Rechenverfahren und -gerät für endlichfeldmultiplikation.

Country Status (7)

Country Link
US (1) US4745568A (de)
EP (1) EP0337985B1 (de)
AU (1) AU625552B2 (de)
CA (1) CA1242030A (de)
DE (1) DE3650335T2 (de)
GB (1) GB2176325B (de)
WO (1) WO1988004805A1 (de)

Families Citing this family (31)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4918638A (en) * 1986-10-15 1990-04-17 Matsushita Electric Industrial Co., Ltd. Multiplier in a galois field
US4847801A (en) * 1987-10-26 1989-07-11 Cyclotomics, Inc. Compact galois field multiplier
EP0364627B1 (de) * 1988-10-18 1996-08-28 Koninklijke Philips Electronics N.V. Datenverarbeitungsgerät zur Berechnung eines multiplikativ invertierten Elements eines endigen Körpers
IL94449A (en) * 1990-05-20 1994-06-24 Fortress U & T 2000 Ltd Method and apparatus for exponentiation over gf(2")
EP0804758B1 (de) * 1994-07-29 2005-11-09 Certicom Corp. Verschlüsselungssystem für elliptische kurve
GB9506574D0 (en) * 1995-03-30 1995-05-17 Cryptech Systems Inc Multiple bit multiplier
GB9627069D0 (en) * 1996-12-30 1997-02-19 Certicom Corp A method and apparatus for finite field multiplication
US6782100B1 (en) 1997-01-29 2004-08-24 Certicom Corp. Accelerated finite field operations on an elliptic curve
US6748410B1 (en) 1997-05-04 2004-06-08 M-Systems Flash Disk Pioneers, Ltd. Apparatus and method for modular multiplication and exponentiation based on montgomery multiplication
US5854759A (en) * 1997-05-05 1998-12-29 Rsa Data Security, Inc. Methods and apparatus for efficient finite field basis conversion
US5931894A (en) * 1997-11-07 1999-08-03 National Science Council Power-sum circuit for finite field GF(2m)
US6286022B1 (en) 1997-11-18 2001-09-04 Rsa Security Inc. Efficient finite field basis conversion involving a dual basis
US6389442B1 (en) 1997-12-30 2002-05-14 Rsa Security Inc. Efficient finite field multiplication in normal basis
US6199087B1 (en) 1998-06-25 2001-03-06 Hewlett-Packard Company Apparatus and method for efficient arithmetic in finite fields through alternative representation
US6178436B1 (en) 1998-07-01 2001-01-23 Hewlett-Packard Company Apparatus and method for multiplication in large finite fields
US6377969B1 (en) 1999-04-23 2002-04-23 General Dynamics Government Systems Corporation Method for multiplication in Galois fields using programmable circuits
US6343305B1 (en) 1999-09-14 2002-01-29 The State Of Oregon Acting By And Through The State Board Of Higher Education On Behalf Of Oregon State University Methods and apparatus for multiplication in a galois field GF (2m), encoders and decoders using same
US20050213758A1 (en) * 2000-02-07 2005-09-29 Lenstra Arjen K Efficient and compact subgroup trace representation ("XTR")
US7076061B1 (en) 2000-02-07 2006-07-11 Citibank, N.A. Efficient and compact subgroup trace representation (“XTR”)
EP1299797B1 (de) * 2000-05-15 2009-07-29 SanDisk IL Ltd Erweiterung des bereichs rechnerischer körper von ganzen zahlen
US7113968B1 (en) * 2002-02-21 2006-09-26 Ciena Corporation Method and apparatus for efficiently performing Galois field multiplication
US20040039767A1 (en) * 2002-08-21 2004-02-26 International Business Machines Corporation Check sum generation for modular reduction
KR100478974B1 (ko) * 2002-12-03 2005-03-25 한국전자통신연구원 직렬 유한체 승산기
US20110064214A1 (en) * 2003-09-09 2011-03-17 Ternarylogic Llc Methods and Apparatus in Alternate Finite Field Based Coders and Decoders
US8577026B2 (en) 2010-12-29 2013-11-05 Ternarylogic Llc Methods and apparatus in alternate finite field based coders and decoders
US20060004896A1 (en) * 2004-06-16 2006-01-05 International Business Machines Corporation Managing unwanted/unsolicited e-mail protection using sender identity
US8467535B2 (en) * 2005-01-18 2013-06-18 Certicom Corp. Accelerated verification of digital signatures and public keys
ATE533103T1 (de) 2005-01-18 2011-11-15 Certicom Corp Beschleunigte verifikation digitaler signaturen und öffentlicher schlüssel
FR2899702A1 (fr) * 2006-04-10 2007-10-12 France Telecom Procede et dispositif pour engendrer une suite pseudo-aleatoire
KR100859185B1 (ko) * 2006-05-18 2008-09-18 학교법인 영광학원 유한체 ＧＦ（2ｍ）상의 곱셈기
US8745376B2 (en) 2011-10-14 2014-06-03 Certicom Corp. Verifying implicit certificates and digital signatures

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4037093A (en) * 1975-12-29 1977-07-19 Honeywell Information Systems, Inc. Matrix multiplier in GF(2m)
US4251875A (en) * 1979-02-12 1981-02-17 Sperry Corporation Sequential Galois multiplication in GF(2n) with GF(2m) Galois multiplication gates
EP0080528A1 (de) * 1981-11-30 1983-06-08 Omnet Associates Berechnungsverfahren und Gerät für Arithmetik endlicher Felder
JPS58219852A (ja) * 1982-06-15 1983-12-21 Toshiba Corp エラ−訂正回路

Also Published As

Publication number Publication date
EP0337985B1 (de) 1995-06-14
US4745568A (en) 1988-05-17
AU6939487A (en) 1988-07-15
EP0337985A1 (de) 1989-10-25
GB2176325A (en) 1986-12-17
GB2176325B (en) 1989-07-19
DE3650335T2 (de) 1996-03-21
CA1242030A (en) 1988-09-13
AU625552B2 (en) 1992-07-16
EP0337985A4 (en) 1991-09-25
GB8613182D0 (en) 1986-07-02
WO1988004805A1 (en) 1988-06-30

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Legal Events

Date Code Title Description
8364 No opposition during term of opposition
8327 Change in the person/name/address of the patent owner

Owner name: CERTICOM CORP., WATERLOO, ONTARIO, CA