DE69811877D1 - ARITHMETISCHER PROZESSOR, der endliche Felder Arithmetik und ganzzahlige modular Arithmetik kombiniert. - Google Patents

ARITHMETISCHER PROZESSOR, der endliche Felder Arithmetik und ganzzahlige modular Arithmetik kombiniert.

Info

Publication number
DE69811877D1
DE69811877D1 DE69811877T DE69811877T DE69811877D1 DE 69811877 D1 DE69811877 D1 DE 69811877D1 DE 69811877 T DE69811877 T DE 69811877T DE 69811877 T DE69811877 T DE 69811877T DE 69811877 D1 DE69811877 D1 DE 69811877D1
Authority
DE
Germany
Prior art keywords
arithmetic
processor
finite fields
integer modular
combines finite
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
DE69811877T
Other languages
English (en)
Other versions
DE69811877T2 (de
Inventor
A Vanstone
J Lambert
Robert Gallant
Aleksandar Jurisic
V Vadekar
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
Certicom Corp
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
Family has litigation
First worldwide family litigation filed litigation Critical https://patents.darts-ip.com/?family=10810977&utm_source=google_patent&utm_medium=platform_link&utm_campaign=public_patent_search&patent=DE69811877(D1) "Global patent litigation dataset” by Darts-ip is licensed under a Creative Commons Attribution 4.0 International License.
Application filed by Certicom Corp filed Critical Certicom Corp
Publication of DE69811877D1 publication Critical patent/DE69811877D1/de
Application granted granted Critical
Publication of DE69811877T2 publication Critical patent/DE69811877T2/de
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F9/00—Arrangements for program control, e.g. control units
    • G06F9/06—Arrangements for program control, e.g. control units using stored programs, i.e. using an internal store of processing equipment to receive or retain programs
    • G06F9/30—Arrangements for executing machine instructions, e.g. instruction decode
    • G06F9/30003—Arrangements for executing specific machine instructions
    • G06F9/30007—Arrangements for executing specific machine instructions to perform operations on data operands
    • G06F9/3001—Arithmetic instructions
    • G06F9/30014—Arithmetic instructions with variable precision
    • 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
    • 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
    • G06F7/722—Modular multiplication
    • 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
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F9/00—Arrangements for program control, e.g. control units
    • G06F9/06—Arrangements for program control, e.g. control units using stored programs, i.e. using an internal store of processing equipment to receive or retain programs
    • G06F9/30—Arrangements for executing machine instructions, e.g. instruction decode
    • G06F9/30003—Arrangements for executing specific machine instructions
    • G06F9/30007—Arrangements for executing specific machine instructions to perform operations on data operands
    • G06F9/30036—Instructions to perform operations on packed data, e.g. vector, tile or matrix operations
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F2207/38—Indexing scheme relating to groups G06F7/38 - G06F7/575
    • G06F2207/3804—Details
    • G06F2207/3808—Details concerning the type of numbers or the way they are handled
    • G06F2207/3812—Devices capable of handling different types of numbers
    • G06F2207/382—Reconfigurable for different fixed word lengths
    • 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
    • G06F7/725—Finite field arithmetic over elliptic curves

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Software Systems (AREA)
  • Mathematical Physics (AREA)
  • Computing Systems (AREA)
  • Complex Calculations (AREA)
  • Executing Machine-Instructions (AREA)
  • Error Detection And Correction (AREA)
  • Microcomputers (AREA)
  • Advance Control (AREA)
DE69811877T 1997-04-18 1998-04-20 ARITHMETISCHER PROZESSOR, der endliche Felder Arithmetik und ganzzahlige modular Arithmetik kombiniert. Expired - Lifetime DE69811877T2 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
GBGB9707861.2A GB9707861D0 (en) 1997-04-18 1997-04-18 Arithmetic processor
PCT/CA1998/000467 WO1998048345A1 (en) 1997-04-18 1998-04-20 Arithmetic processor

Publications (2)

Publication Number Publication Date
DE69811877D1 true DE69811877D1 (de) 2003-04-10
DE69811877T2 DE69811877T2 (de) 2003-12-18

Family

ID=10810977

Family Applications (2)

Application Number Title Priority Date Filing Date
DE69841492T Expired - Lifetime DE69841492D1 (de) 1997-04-18 1998-04-20 Arithmetischer Prozessor geeignet für verschiedenen endlichen Feldgrösse.
DE69811877T Expired - Lifetime DE69811877T2 (de) 1997-04-18 1998-04-20 ARITHMETISCHER PROZESSOR, der endliche Felder Arithmetik und ganzzahlige modular Arithmetik kombiniert.

Family Applications Before (1)

Application Number Title Priority Date Filing Date
DE69841492T Expired - Lifetime DE69841492D1 (de) 1997-04-18 1998-04-20 Arithmetischer Prozessor geeignet für verschiedenen endlichen Feldgrösse.

Country Status (8)

Country Link
US (5) US6266717B1 (de)
EP (2) EP0976027B1 (de)
JP (4) JP2001520775A (de)
AU (1) AU7329198A (de)
CA (1) CA2286647C (de)
DE (2) DE69841492D1 (de)
GB (1) GB9707861D0 (de)
WO (1) WO1998048345A1 (de)

Families Citing this family (84)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7483935B2 (en) * 1995-08-16 2009-01-27 Microunity Systems Engineering, Inc. System and method to implement a matrix multiply unit of a broadband processor
GB9707861D0 (en) 1997-04-18 1997-06-04 Certicom Corp Arithmetic processor
US5864703A (en) 1997-10-09 1999-01-26 Mips Technologies, Inc. Method for providing extended precision in SIMD vector arithmetic operations
US7197625B1 (en) * 1997-10-09 2007-03-27 Mips Technologies, Inc. Alignment and ordering of vector elements for single instruction multiple data processing
US6366940B1 (en) * 1998-03-02 2002-04-02 Matsushita Electric Industrial Co., Ltd. High-speed modular multiplication apparatus achieved in small circuit
US6199087B1 (en) * 1998-06-25 2001-03-06 Hewlett-Packard Company Apparatus and method for efficient arithmetic in finite fields through alternative representation
TW421756B (en) * 1998-10-01 2001-02-11 Wei Shiue Wen Arithmetic operation circuit of finite field GF(2<m>)
US6397241B1 (en) * 1998-12-18 2002-05-28 Motorola, Inc. Multiplier cell and method of computing
WO2000038047A1 (en) * 1998-12-18 2000-06-29 Motorola Inc. Circuit and method of cryptographic multiplication
FR2788616B1 (fr) * 1999-01-15 2001-04-20 St Microelectronics Sa Circuit de multiplication dans un corps de galois
US7277540B1 (en) * 1999-01-20 2007-10-02 Kabushiki Kaisha Toshiba Arithmetic method and apparatus and crypto processing apparatus for performing multiple types of cryptography
JP4484002B2 (ja) * 1999-10-04 2010-06-16 ネッツエスアイ東洋株式会社 演算プロセッサ
US6701336B1 (en) * 1999-11-12 2004-03-02 Maxtor Corporation Shared galois field multiplier
WO2001089129A2 (en) * 2000-05-15 2001-11-22 M-Systems Flash Disk Pioneers Ltd. Extending the range of computational fields of integers
US8176108B2 (en) * 2000-06-20 2012-05-08 International Business Machines Corporation Method, apparatus and computer program product for network design and analysis
US7069287B2 (en) * 2000-09-19 2006-06-27 Worcester Polytechnic Institute Method for efficient computation of odd characteristic extension fields
DE10061997A1 (de) * 2000-12-13 2002-07-18 Infineon Technologies Ag Kryptographieprozessor
FR2818847A1 (fr) * 2000-12-26 2002-06-28 St Microelectronics Sa Circuit logique a polarite variable
US7162621B2 (en) 2001-02-21 2007-01-09 Mips Technologies, Inc. Virtual instruction expansion based on template and parameter selector information specifying sign-extension or concentration
US7599981B2 (en) * 2001-02-21 2009-10-06 Mips Technologies, Inc. Binary polynomial multiplier
US7181484B2 (en) 2001-02-21 2007-02-20 Mips Technologies, Inc. Extended-precision accumulation of multiplier output
US7711763B2 (en) * 2001-02-21 2010-05-04 Mips Technologies, Inc. Microprocessor instructions for performing polynomial arithmetic operations
WO2002073395A2 (en) * 2001-03-09 2002-09-19 The Athena Group, Inc. A method and apparatus for multiplication and/or modular reduction processing
US7233998B2 (en) * 2001-03-22 2007-06-19 Sony Computer Entertainment Inc. Computer architecture and software cells for broadband networks
EP1417566A2 (de) * 2001-06-13 2004-05-12 Zencod S.A. Karte zur beschleunigung kryptographischer datenverarbeitung
KR20030003435A (ko) * 2001-06-30 2003-01-10 주식회사 시큐리티테크놀로지스 암호시스템에 사용하기 위한 최적의 역원을 구하기 위한방법 및 장치
AU2002339867A1 (en) * 2001-09-04 2003-03-18 Microunity Systems Engineering, Inc. System and method for performing multiplication
US7206410B2 (en) * 2001-10-10 2007-04-17 Stmicroelectronics S.R.L. Circuit for the inner or scalar product computation in Galois fields
US7177891B2 (en) * 2002-10-09 2007-02-13 Analog Devices, Inc. Compact Galois field multiplier engine
US7269615B2 (en) * 2001-12-18 2007-09-11 Analog Devices, Inc. Reconfigurable input Galois field linear transformer system
US7082452B2 (en) * 2001-11-30 2006-07-25 Analog Devices, Inc. Galois field multiply/multiply-add/multiply accumulate
US6766345B2 (en) 2001-11-30 2004-07-20 Analog Devices, Inc. Galois field multiplier system
US7895253B2 (en) * 2001-11-30 2011-02-22 Analog Devices, Inc. Compound Galois field engine and Galois field divider and square root engine and method
US7283628B2 (en) 2001-11-30 2007-10-16 Analog Devices, Inc. Programmable data encryption engine
US7508937B2 (en) * 2001-12-18 2009-03-24 Analog Devices, Inc. Programmable data encryption engine for advanced encryption standard algorithm
DE10164416A1 (de) * 2001-12-29 2003-07-10 Philips Intellectual Property Verfahren zum Multiplizieren zweier Faktoren aus dem Galois-Feld sowie Multiplizierer zum Durchführen des Verfahrens
US7372960B2 (en) * 2001-12-31 2008-05-13 Certicom Corp. Method and apparatus for performing finite field calculations
US6865661B2 (en) 2002-01-21 2005-03-08 Analog Devices, Inc. Reconfigurable single instruction multiple data array
US7000090B2 (en) * 2002-01-21 2006-02-14 Analog Devices, Inc. Center focused single instruction multiple data (SIMD) array system
US6941446B2 (en) * 2002-01-21 2005-09-06 Analog Devices, Inc. Single instruction multiple data array cell
JP2003244128A (ja) * 2002-02-21 2003-08-29 Hitachi Ltd 暗号復号通信用半導体装置および記録再生機器
US7343389B2 (en) * 2002-05-02 2008-03-11 Intel Corporation Apparatus and method for SIMD modular multiplication
JP2004078053A (ja) 2002-08-22 2004-03-11 Sony Corp 暗号化装置
US7197527B2 (en) * 2002-10-17 2007-03-27 Telefonaktiebolaget Lm Ericsson (Publ) Efficient arithmetic in finite fields of odd characteristic on binary hardware
US7243292B1 (en) * 2002-10-17 2007-07-10 Telefonaktiebolaget Lm Ericsson (Publ) Error correction using finite fields of odd characteristics on binary hardware
US7028247B2 (en) * 2002-12-25 2006-04-11 Faraday Technology Corp. Error correction code circuit with reduced hardware complexity
US7139787B2 (en) * 2003-01-30 2006-11-21 Sun Microsystems, Inc. Multiply execution unit for performing integer and XOR multiplication
CN100530157C (zh) * 2003-04-08 2009-08-19 阿纳洛格装置公司 伽罗瓦域线性变换器格栅系统
US7693928B2 (en) * 2003-04-08 2010-04-06 Analog Devices, Inc. Galois field linear transformer trellis system
US7139900B2 (en) 2003-06-23 2006-11-21 Intel Corporation Data packet arithmetic logic devices and methods
US8194855B2 (en) * 2003-06-30 2012-06-05 Oracle America, Inc. Method and apparatus for implementing processor instructions for accelerating public-key cryptography
US7634666B2 (en) * 2003-08-15 2009-12-15 Cityu Research Limited Crypto-engine for cryptographic processing of data
US7421076B2 (en) * 2003-09-17 2008-09-02 Analog Devices, Inc. Advanced encryption standard (AES) engine with real time S-box generation
US7171544B2 (en) * 2003-12-15 2007-01-30 International Business Machines Corporation Run-time parallelization of loops in computer programs by access patterns
KR100574965B1 (ko) * 2004-01-19 2006-05-02 삼성전자주식회사 유한체 곱셈기
DE102004013484B3 (de) * 2004-03-18 2005-08-11 Infineon Technologies Ag Rechenwerk
WO2005114802A2 (en) * 2004-05-11 2005-12-01 North Dakota State University Optimal signed-digit recoding for elliptic curve cryptography
US7512647B2 (en) * 2004-11-22 2009-03-31 Analog Devices, Inc. Condensed Galois field computing system
JP2006195563A (ja) * 2005-01-11 2006-07-27 Renesas Technology Corp 演算処理装置
JP5068176B2 (ja) * 2005-01-18 2012-11-07 サーティコム コーポレーション デジタル署名と公開鍵の促進された検証
DE102005028662B4 (de) * 2005-03-04 2022-06-02 Ihp Gmbh - Innovations For High Performance Microelectronics / Leibniz-Institut Für Innovative Mikroelektronik Verfahren und Vorrichtung zum Berechnen einer Polynom-Multiplikation, insbesondere für die elliptische Kurven-Kryptographie
US7728744B2 (en) * 2005-10-26 2010-06-01 Analog Devices, Inc. Variable length decoder system and method
US8285972B2 (en) * 2005-10-26 2012-10-09 Analog Devices, Inc. Lookup table addressing system and method
US8024551B2 (en) 2005-10-26 2011-09-20 Analog Devices, Inc. Pipelined digital signal processor
US7634596B2 (en) * 2006-06-02 2009-12-15 Microchip Technology Incorporated Dynamic peripheral function remapping to external input-output connections of an integrated circuit device
US7664915B2 (en) * 2006-12-19 2010-02-16 Intel Corporation High performance raid-6 system architecture with pattern matching
DE102007007699A1 (de) * 2007-02-09 2008-08-14 IHP GmbH - Innovations for High Performance Microelectronics/Institut für innovative Mikroelektronik Reduktion von Seiten-Kanal-Informationen durch interagierende Krypto-Blocks
US8271570B2 (en) * 2007-06-30 2012-09-18 Intel Corporation Unified integer/galois field (2m) multiplier architecture for elliptic-curve crytpography
US7929707B1 (en) * 2007-09-06 2011-04-19 Elcomsoft Co. Ltd. Use of graphics processors as parallel math co-processors for password recovery
US8301990B2 (en) * 2007-09-27 2012-10-30 Analog Devices, Inc. Programmable compute unit with internal register and bit FIFO for executing Viterbi code
WO2009055906A1 (en) * 2007-11-02 2009-05-07 Certicom Corp. Signed montgomery arithmetic
US8359479B2 (en) * 2008-07-17 2013-01-22 Lsi Corporation High performance arithmetic logic unit (ALU) for cryptographic applications with built-in countermeasures against side channel attacks
CN101478785B (zh) * 2009-01-21 2010-08-04 华为技术有限公司 资源池管理系统及信号处理方法
US9747105B2 (en) 2009-12-17 2017-08-29 Intel Corporation Method and apparatus for performing a shift and exclusive or operation in a single instruction
US8626811B2 (en) 2010-04-30 2014-01-07 Certicom Corp. Method and apparatus for providing flexible bit-length moduli on a block Montgomery machine
US9965387B1 (en) * 2010-07-09 2018-05-08 Cypress Semiconductor Corporation Memory devices having embedded hardware acceleration and corresponding methods
EP2700256B1 (de) 2011-05-20 2017-11-29 BlackBerry Limited Überprüfung von kennwörtern auf einer mobilen vorrichtung
CA2837516C (en) 2011-05-26 2016-11-01 Certicom Corp. Randomness for encryption operations
WO2012167345A1 (en) 2011-06-06 2012-12-13 Certicom Corp. Squaring binary finite field elements
CN102981801B (zh) * 2012-11-07 2015-10-28 迈普通信技术股份有限公司 一种本地总线数据位宽的转换方法及装置
US9619207B1 (en) * 2014-10-27 2017-04-11 Altera Corporation Circuitry and methods for implementing Galois-field reduction
US11010166B2 (en) 2016-03-31 2021-05-18 Intel Corporation Arithmetic logic unit with normal and accelerated performance modes using differing numbers of computational circuits
CN109710308B (zh) * 2017-10-25 2023-03-31 阿里巴巴集团控股有限公司 任务的处理方法、装置和系统
DE102022214429A1 (de) 2022-12-29 2024-07-04 Robert Bosch Gesellschaft mit beschränkter Haftung Die Rechenvorrichtung zum Überprüfen eines Softwareschlüssels

Family Cites Families (39)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4216531A (en) * 1978-11-17 1980-08-05 Control Data Corporation Finite field multiplier
JPS60120439A (ja) * 1983-12-05 1985-06-27 Nec Corp 演算処理装置
DE3587670T2 (de) * 1984-01-21 1994-06-23 Sony Corp Verfahren und schaltung zur dekodierung von fehlercode-daten.
DE3631992A1 (de) † 1986-03-05 1987-11-05 Holger Sedlak Kryptographie-verfahren und kryptographie-prozessor zur durchfuehrung des verfahrens
JPS6382513A (ja) 1986-09-26 1988-04-13 Toshiba Corp バレルシフタ
FR2605818B1 (fr) * 1986-10-27 1992-09-18 Thomson Csf Codeur-decodeur algebrique de codes en blocs reed solomon et bch, applicable aux telecommunications numeriques
US5268584A (en) 1988-11-28 1993-12-07 The United States Of America As Represented By The Department Of Energy Strong liquid-crystalline polymeric compositions
US5077793A (en) 1989-09-29 1991-12-31 The Boeing Company Residue number encryption and decryption system
US5268854A (en) * 1990-11-13 1993-12-07 Kabushiki Kaisha Toshiba Microprocessor with a function for three-dimensional graphic processing
JP3406914B2 (ja) 1991-09-05 2003-05-19 キヤノン株式会社 演算装置及びこれを備えた暗号化装置、復号装置
US5313530A (en) 1991-03-05 1994-05-17 Canon Kabushiki Kaisha Calculating apparatus and method of encrypting/decrypting communication data by using the same
US5235614A (en) * 1991-03-13 1993-08-10 Motorola, Inc. Method and apparatus for accommodating a variable number of communication channels in a spread spectrum communication system
KR940001147B1 (ko) 1991-03-20 1994-02-14 삼성전자 주식회사 부분체 GF(2^m/2)을 이용한 GF(2^m)상의 연산방법 및 장치
JP2693651B2 (ja) * 1991-04-30 1997-12-24 株式会社東芝 並列プロセッサー
US5627893A (en) 1992-12-22 1997-05-06 Telstra Corporation Limited Cryptographic method
JPH06268530A (ja) 1993-03-16 1994-09-22 Hitachi Ltd 誤りパターン演算回路
DE69428627T2 (de) * 1993-06-10 2002-08-08 Koninklijke Philips Electronics N.V., Eindhoven Dekodierer für Wörter variabler Länge mit hohem Durchfluss und Vorrichtung mit einem solchen Dekodierer
US5497423A (en) 1993-06-18 1996-03-05 Matsushita Electric Industrial Co., Ltd. Method of implementing elliptic curve cryptosystems in digital signatures or verification and privacy communication
US5467297A (en) * 1993-11-04 1995-11-14 Cirrus Logic, Inc. Finite field inversion
US5555516A (en) 1993-11-04 1996-09-10 Cirrus Logic, Inc. Multipurpose error correction calculation circuit
JPH07175664A (ja) * 1993-12-16 1995-07-14 Dainippon Printing Co Ltd コンパイラ装置
US5459681A (en) * 1993-12-20 1995-10-17 Motorola, Inc. Special functions arithmetic logic unit method and apparatus
JP3702475B2 (ja) 1994-07-25 2005-10-05 ソニー株式会社 回路自動生成装置
US5577069A (en) * 1994-08-02 1996-11-19 National Semiconductor Corporation Signalling method and structure suitable for out-of-band information transfer in communication network
FR2723455B1 (fr) * 1994-08-05 1996-10-31 Sgs Thomson Microelectronics Circuit d'inversion d'elements d'un corps de galois
GB9506574D0 (en) * 1995-03-30 1995-05-17 Cryptech Systems Inc Multiple bit multiplier
US5627855A (en) * 1995-05-25 1997-05-06 Golden Bridge Technology, Inc. Programmable two-part matched filter for spread spectrum
US5778009A (en) * 1995-06-14 1998-07-07 Quantum Corporation Dedicated ALU architecture for 10-bit Reed-Solomon error correction module
US5737424A (en) 1996-06-04 1998-04-07 Software Security, Inc. Method and system for secure distribution of protected data using elliptic curve systems
JP2846860B2 (ja) * 1996-10-01 1999-01-13 ユニデン株式会社 スペクトル拡散通信方式を用いた送信機、受信機、通信システム及び通信方法
GB9627069D0 (en) * 1996-12-30 1997-02-19 Certicom Corp A method and apparatus for finite field multiplication
GB9707861D0 (en) 1997-04-18 1997-06-04 Certicom Corp Arithmetic processor
US5854759A (en) * 1997-05-05 1998-12-29 Rsa Data Security, Inc. Methods and apparatus for efficient finite field basis conversion
US6009450A (en) * 1997-12-24 1999-12-28 Motorola, Inc. Finite field inverse circuit
US6199086B1 (en) 1997-12-24 2001-03-06 Motorola, Inc. Circuit and method for decompressing compressed elliptic curve points
US6003057A (en) 1997-12-24 1999-12-14 Motorola, Inc. Galois field arithmetic logic unit circuit
US5982895A (en) 1997-12-24 1999-11-09 Motorola, Inc. Finite field inverse circuit for use in an elliptic curve processor
US5999959A (en) * 1998-02-18 1999-12-07 Quantum Corporation Galois field multiplier
US6088800A (en) 1998-02-27 2000-07-11 Mosaid Technologies, Incorporated Encryption processor with shared memory interconnect

Also Published As

Publication number Publication date
EP1293891B1 (de) 2010-02-03
US6230179B1 (en) 2001-05-08
JP4980834B2 (ja) 2012-07-18
DE69811877T2 (de) 2003-12-18
EP0976027B1 (de) 2003-03-05
EP1293891A3 (de) 2004-09-08
US20020136402A1 (en) 2002-09-26
US20050044124A1 (en) 2005-02-24
EP1293891B2 (de) 2017-04-12
EP1293891B8 (de) 2010-04-14
GB9707861D0 (en) 1997-06-04
CA2286647A1 (en) 1998-10-29
JP2008059595A (ja) 2008-03-13
AU7329198A (en) 1998-11-13
JP5866128B2 (ja) 2016-02-17
JP2014219994A (ja) 2014-11-20
CA2286647C (en) 2015-01-13
JP2011134346A (ja) 2011-07-07
US6735611B2 (en) 2004-05-11
JP2001520775A (ja) 2001-10-30
US7424504B2 (en) 2008-09-09
WO1998048345A1 (en) 1998-10-29
EP1293891A2 (de) 2003-03-19
US6266717B1 (en) 2001-07-24
DE69841492D1 (de) 2010-03-25
EP0976027A1 (de) 2000-02-02
US6349318B1 (en) 2002-02-19

Similar Documents

Publication Publication Date Title
DE69811877D1 (de) ARITHMETISCHER PROZESSOR, der endliche Felder Arithmetik und ganzzahlige modular Arithmetik kombiniert.
DE69812898D1 (de) Nutzerprogrammierbare prozessorfelder
BR9910903B1 (pt) portador de dente e dente.
DE69840474D1 (de) Temperaturunempfindlicher siliziumoszillator und daraus erzeugte präzesionsspannungsreferenz
ATE234851T1 (de) Cyclopentaphenanthrenyl-titan-komplexe und polymerisationsverfahren
DE59710092D1 (de) Zentrifugalpumpe und Zentrifugalpumpenanordnung
DE69827828D1 (de) Selbstexturierende, absorbierende strukturen und damit hergestellte absorbierende artikel
DE69834629D1 (de) Mikrobielle dekontamination von lebensmitteln
DE69727923D1 (de) Gehhilfe
DE69821069D1 (de) Leistungsteilungs-/-addierschaltung, Hochleistungsverstärker und Symmetrierschaltung
DE69834184D1 (de) Persönlicher desktop-wegesucher
DE69817941D1 (de) Hochfrequenzschaltungsanordnung, Eingabeeinheit und Transceiver
DE60215407D1 (de) Wagen und Träger
DE69830372D1 (de) Gaserzeugende zusammensetzung und formmasse davon
NL1010891A1 (nl) Stabilisatormengsels.
ATE238787T1 (de) Caspases und apoptosis
DE69916694D1 (de) 2-Hydroxy-5-methyl-hexan-3-on und 3-hydroxy-5-methyl-hexan-2-on
DE59813144D1 (de) Teilchenmanipulierung
ID26937A (id) Zat-zat antivirus
DE69823492D1 (de) Körniges modifiziertes polytetrafluoroethylenpulver
FI103617B (fi) Kanavatransistorit
IT1303096B1 (it) Catena di cerniera lampo.
DK0864255T3 (da) Vandkontinuerligt smørbart produkt
DE69820648D1 (de) Gehhilfe
ID21274A (id) Penggali beroda timba

Legal Events

Date Code Title Description
8364 No opposition during term of opposition
8328 Change in the person/name/address of the agent

Representative=s name: MERH-IP MATIAS ERNY REICHL HOFFMANN, 80336 MUENCHE