AT475136T - Galois field multiplication / multiplikation- addition / multiplication-accumulation - Google Patents

Galois field multiplication / multiplikation- addition / multiplication-accumulation

Info

Publication number
AT475136T
AT475136T AT02804489T AT02804489T AT475136T AT 475136 T AT475136 T AT 475136T AT 02804489 T AT02804489 T AT 02804489T AT 02804489 T AT02804489 T AT 02804489T AT 475136 T AT475136 T AT 475136T
Authority
AT
Austria
Prior art keywords
multiplication
multiplikation
accumulation
addition
galois field
Prior art date
Application number
AT02804489T
Other languages
German (de)
Inventor
Yosef Stein
Haim Primo
Yaniv Sapir
Original Assignee
Analog Devices 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
Priority to US33451001P priority Critical
Priority to US33466201P priority
Priority to US34171101P priority
Priority to US34163501P priority
Priority to US10/051,533 priority patent/US6587864B2/en
Priority to US10/060,699 priority patent/US6766345B2/en
Priority to US10/170,267 priority patent/US7283628B2/en
Priority to US10/228,526 priority patent/US7082452B2/en
Application filed by Analog Devices Inc filed Critical Analog Devices Inc
Priority to PCT/US2002/038501 priority patent/WO2003048921A1/en
Publication of AT475136T publication Critical patent/AT475136T/en

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60Methods 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
    • G06F7/72Methods 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
    • G06F7/724Finite field arithmetic
AT02804489T 2001-11-30 2002-12-02 Galois field multiplication / multiplikation- addition / multiplication-accumulation AT475136T (en)

Priority Applications (9)

Application Number Priority Date Filing Date Title
US33451001P true 2001-11-30 2001-11-30
US33466201P true 2001-11-30 2001-11-30
US34171101P true 2001-12-18 2001-12-18
US34163501P true 2001-12-18 2001-12-18
US10/051,533 US6587864B2 (en) 2001-11-30 2002-01-18 Galois field linear transformer
US10/060,699 US6766345B2 (en) 2001-11-30 2002-01-30 Galois field multiplier system
US10/170,267 US7283628B2 (en) 2001-11-30 2002-06-12 Programmable data encryption engine
US10/228,526 US7082452B2 (en) 2001-11-30 2002-08-26 Galois field multiply/multiply-add/multiply accumulate
PCT/US2002/038501 WO2003048921A1 (en) 2001-11-30 2002-12-02 Galois field multiply/multiply-add multiply accumulate

Publications (1)

Publication Number Publication Date
AT475136T true AT475136T (en) 2010-08-15

Family

ID=27539940

Family Applications (1)

Application Number Title Priority Date Filing Date
AT02804489T AT475136T (en) 2001-11-30 2002-12-02 Galois field multiplication / multiplikation- addition / multiplication-accumulation

Country Status (7)

Country Link
US (1) US7082452B2 (en)
EP (1) EP1456745B1 (en)
JP (2) JP4732688B2 (en)
CN (1) CN100480986C (en)
AT (1) AT475136T (en)
DE (1) DE60237108D1 (en)
WO (1) WO2003048921A1 (en)

Families Citing this family (30)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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
US6766345B2 (en) 2001-11-30 2004-07-20 Analog Devices, Inc. Galois field multiplier system
US7508937B2 (en) * 2001-12-18 2009-03-24 Analog Devices, Inc. Programmable data encryption engine for advanced encryption standard algorithm
US7269615B2 (en) * 2001-12-18 2007-09-11 Analog Devices, Inc. Reconfigurable input Galois field linear transformer system
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
US6865661B2 (en) 2002-01-21 2005-03-08 Analog Devices, Inc. Reconfigurable single instruction multiple data array
US7447310B2 (en) * 2002-08-06 2008-11-04 The State Of Oregon Acting By And Through The State Board Of Higher Education On Behalf Of Oregon State University Lean multiplication of multi-precision numbers over GF(2m)
US7401109B2 (en) * 2002-08-06 2008-07-15 The State Of Oregon Acting By And Through The State Board Of Higher Education On Behalf Of Oregon State University Multiplication of multi-precision numbers having a size of a power of two
US7177891B2 (en) * 2002-10-09 2007-02-13 Analog Devices, Inc. Compact Galois field multiplier engine
US7421076B2 (en) * 2003-09-17 2008-09-02 Analog Devices, Inc. Advanced encryption standard (AES) engine with real time S-box generation
KR100640601B1 (en) * 2004-10-05 2006-11-01 리전츠 오브 더 유니버스티 오브 미네소타 Method and apparatus for detecting whether or not generating for an error event of a code word that a perpendicular magnetic recording medium replays
US20060107027A1 (en) * 2004-11-12 2006-05-18 Inching Chen General purpose micro-coded accelerator
US7512647B2 (en) 2004-11-22 2009-03-31 Analog Devices, Inc. Condensed Galois field computing system
WO2006120691A1 (en) * 2005-05-06 2006-11-16 Analog Devices Inc. Galois field arithmetic unit for error detection and correction in processors
CN101739233B (en) 2008-11-11 2012-08-29 财团法人工业技术研究院 Semi-sequential input Galois multiplier and executing method thereof
CN101650644B (en) 2009-04-10 2012-07-04 北京邮电大学 Galois field multiplying unit realizing device
RU2475810C2 (en) * 2011-02-17 2013-02-20 Российская Федерация в лице Министерства промышленности и торговли РФ APPARATUS FOR CALCULATING GALOIS FIELD GF(2n) BOOLEAN TRANSFORMATION COEFFICIENTS
US8504845B2 (en) 2011-03-30 2013-08-06 Apple Inc. Protecting states of a cryptographic process using group automorphisms
GB2490914B (en) * 2011-05-17 2015-12-09 Aptcore Ltd Signal processing apparatus
CN103853523B (en) * 2012-11-30 2017-05-31 北京兆易创新科技股份有限公司 One kind of Galois Field multiplier adder
US9804840B2 (en) * 2013-01-23 2017-10-31 International Business Machines Corporation Vector Galois Field Multiply Sum and Accumulate instruction
US9471308B2 (en) 2013-01-23 2016-10-18 International Business Machines Corporation Vector floating point test data class immediate instruction
US9778932B2 (en) 2013-01-23 2017-10-03 International Business Machines Corporation Vector generate mask instruction
US9715385B2 (en) 2013-01-23 2017-07-25 International Business Machines Corporation Vector exception code
US9823924B2 (en) 2013-01-23 2017-11-21 International Business Machines Corporation Vector element rotate and insert under mask instruction
US9513906B2 (en) 2013-01-23 2016-12-06 International Business Machines Corporation Vector checksum instruction
US9417848B2 (en) * 2014-03-28 2016-08-16 Storart Technology Co. Ltd. Serial multiply accumulator for galois field
CN107381555B (en) * 2017-08-09 2018-09-25 华中科技大学 A three-dimensional structure of a controllable graphene composite material and its preparation method

Family Cites Families (59)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE1181461B (en) 1963-10-08 1964-11-12 Telefunken Patent Adressenaddierwerk a program-controlled calculating machine
US3805037A (en) 1972-02-22 1974-04-16 J Ellison N{40 th power galois linear gate
JPS54151339A (en) * 1978-05-19 1979-11-28 Nec Corp Exclusive logical sum array
JPH0680491B2 (en) * 1983-12-30 1994-10-12 ソニー株式会社 Finite field arithmetic circuit
JPH0778748B2 (en) * 1984-04-11 1995-08-23 三菱電機株式会社 Galois field operation unit
JPS62500326A (en) * 1984-09-28 1987-02-05
US4722050A (en) 1986-03-27 1988-01-26 Hewlett-Packard Company Method and apparatus for facilitating instruction processing of a digital computer
US4918638A (en) 1986-10-15 1990-04-17 Matsushita Electric Industrial Co., Ltd. Multiplier in a galois field
FR2605769B1 (en) 1986-10-22 1988-12-09 Thomson Csf Operators polynomial in the Galois field and digital signal processor comprising such operator
JPS63132532A (en) * 1986-11-25 1988-06-04 Ricoh Co Ltd Polynomial dividing circuit for extended galois field
JPS63282777A (en) * 1987-03-04 1988-11-18 Ricoh Kk Modulo computation processor chip
US4847801A (en) 1987-10-26 1989-07-11 Cyclotomics, Inc. Compact galois field multiplier
FR2628862B1 (en) * 1988-03-17 1993-03-12 Thomson Csf Parameterizable multiplier-adder in the Galois field, and its use in a digital signal processor
US5101338A (en) 1988-04-27 1992-03-31 Nec Corporation Memory access control device which can be formed by a reduced number of lsi's
US5095525A (en) 1989-06-26 1992-03-10 Rockwell International Corporation Memory transformation apparatus and method
US5446850A (en) 1991-01-15 1995-08-29 International Business Machines Corporation Cross-cache-line compounding algorithm for scism processors
US5214763A (en) 1990-05-10 1993-05-25 International Business Machines Corporation Digital computer system capable of processing two or more instructions in parallel and having a coche and instruction compounding mechanism
JPH0659686B2 (en) 1990-10-29 1994-08-10 ダイアホイルヘキスト株式会社 Biaxially oriented polyester film for condenser
US5386523A (en) 1992-01-10 1995-01-31 Digital Equipment Corporation Addressing scheme for accessing a portion of a large memory space
US5379243A (en) 1992-08-31 1995-01-03 Comstream Corporation Method and apparatus for performing finite field division
KR0135846B1 (en) 1994-02-02 1998-06-15 김광호 Look up table device
US5642367A (en) * 1994-02-07 1997-06-24 Mitsubishi Semiconductor America, Inc. Finite field polynomial processing module for error control coding
US5832290A (en) 1994-06-13 1998-11-03 Hewlett-Packard Co. Apparatus, systems and method for improving memory bandwidth utilization in vector processing systems
US5689452A (en) 1994-10-31 1997-11-18 University Of New Mexico Method and apparatus for performing arithmetic in large galois field GF(2n)
US5754563A (en) 1995-09-11 1998-05-19 Ecc Technologies, Inc. Byte-parallel system for implementing reed-solomon error-correcting codes
US5768168A (en) 1996-05-30 1998-06-16 Lg Semicon Co., Ltd. Universal galois field multiplier
US5996066A (en) 1996-10-10 1999-11-30 Sun Microsystems, Inc. Partitioned multiply and add/subtract instruction for CPU with integrated graphics functions
US6078937A (en) 1996-12-19 2000-06-20 Vlsi Technology, Inc. Barrel shifter, circuit and method of manipulating a bit pattern
GB9627069D0 (en) 1996-12-30 1997-02-19 Certicom Corp A method and apparatus for finite field multiplication
US6199096B1 (en) * 1997-03-14 2001-03-06 Efusion, Inc. Method and apparatus for synchronizing information browsing among multiple systems
US6002728A (en) 1997-04-17 1999-12-14 Itt Manufacturing Enterprises Inc. Synchronization and tracking in a digital communication system
GB9707861D0 (en) 1997-04-18 1997-06-04 Certicom Corp Arithmetic processor
JP3850511B2 (en) * 1997-05-07 2006-11-29 日本テキサス・インスツルメンツ株式会社 Reed-Solomon decoding device
US6199086B1 (en) 1997-12-24 2001-03-06 Motorola, Inc. Circuit and method for decompressing compressed elliptic curve points
US6223320B1 (en) 1998-02-10 2001-04-24 International Business Machines Corporation Efficient CRC generation utilizing parallel table lookup operations
US5999959A (en) 1998-02-18 1999-12-07 Quantum Corporation Galois field multiplier
US6138208A (en) 1998-04-13 2000-10-24 International Business Machines Corporation Multiple level cache memory with overlapped L1 and L2 memory access
US5996057A (en) 1998-04-17 1999-11-30 Apple Data processing system and method of permutation with replication within a vector register file
KR100296958B1 (en) 1998-05-06 2001-05-16 이석우 Apparatus for encoding block data
US6199087B1 (en) 1998-06-25 2001-03-06 Hewlett-Packard Company Apparatus and method for efficient arithmetic in finite fields through alternative representation
JP2001055640A (en) * 1999-06-09 2001-02-27 Toray Ind Inc Fibrous material consisting of polyphenylene sulfide
FR2796736B1 (en) * 1999-07-20 2001-11-30 St Microelectronics Sa Method for performing multiplication with accumulation in a Galois field
JP3534004B2 (en) * 1999-08-25 2004-06-07 東洋通信機株式会社 Computing device
US6434662B1 (en) 1999-11-02 2002-08-13 Juniper Networks, Inc. System and method for searching an associative memory utilizing first and second hash functions
JP2001194996A (en) * 2000-01-11 2001-07-19 Toyo Commun Equip Co Ltd Division device for polynomial
US6384713B1 (en) 2000-04-21 2002-05-07 Marvell International, Ltd. Serial comparator
GB0023409D0 (en) 2000-09-22 2000-11-08 Integrated Silicon Systems Ltd Data encryption apparatus
AT286636T (en) 2001-03-27 2005-01-15 Amphion Semiconductor Ltd Device for selectable encryption or decryption of data
US6738794B2 (en) 2001-04-10 2004-05-18 Analog Devices, Inc. Parallel bit correlator
US7283628B2 (en) 2001-11-30 2007-10-16 Analog Devices, Inc. Programmable data encryption engine
US6587864B2 (en) 2001-11-30 2003-07-01 Analog Devices, Inc. Galois field linear transformer
US6766345B2 (en) 2001-11-30 2004-07-20 Analog Devices, Inc. Galois field multiplier system
US7508937B2 (en) 2001-12-18 2009-03-24 Analog Devices, Inc. Programmable data encryption engine for advanced encryption standard algorithm
US7269615B2 (en) 2001-12-18 2007-09-11 Analog Devices, Inc. Reconfigurable input Galois field linear transformer system
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
US6865661B2 (en) 2002-01-21 2005-03-08 Analog Devices, Inc. Reconfigurable single instruction multiple data array
US6829694B2 (en) 2002-02-07 2004-12-07 Analog Devices, Inc. Reconfigurable parallel look up table system
US7177891B2 (en) * 2002-10-09 2007-02-13 Analog Devices, Inc. Compact Galois field multiplier engine

Also Published As

Publication number Publication date
DE60237108D1 (en) 2010-09-02
EP1456745A1 (en) 2004-09-15
US20030110196A1 (en) 2003-06-12
US7082452B2 (en) 2006-07-25
EP1456745B1 (en) 2010-07-21
JP4732688B2 (en) 2011-07-27
JP2005512184A (en) 2005-04-28
WO2003048921A1 (en) 2003-06-12
EP1456745A4 (en) 2006-09-27
CN1608244A (en) 2005-04-20
JP5266354B2 (en) 2013-08-21
JP2011146052A (en) 2011-07-28
CN100480986C (en) 2009-04-22

Similar Documents

Publication Publication Date Title
DE60106496D1 (en) Ablationsatherektomiefräswerkzeug
DE50204184D1 (en) Espressobrüheinrichtung
DE60233399D1 (en) Erzerrung second order
AT413654T (en) Diabetisbehandlungssystem
AT445788T (en) Erststufenkupplung
AT464012T (en) Kryotemperaturüberwachung
AT365249T (en) Verschleissanordnung
AT369890T (en) Ballonfalttechnologie
AT312640T (en) Kompositführungsdraht
AT403872T (en) Massenspektormetrie-process
AT528029T (en) Hämostasekatheter
AT492210T (en) Mehrfunktionsluftwegadapter
AT464149T (en) Laserfräsverfahren and-system
AT484228T (en) Retraktorklemmenzusammenstellung
AT392972T (en) Wendefrässchneidplatte
AT338358T (en) Mehrfachhochgeschwindigkeitssteck- connector
AT333236T (en) Intraokularlinsenbestimmungssystem
AT322052T (en) Bildidentifierungssystem
AT553775T (en) Impstoffzusammesetzung
AT548699T (en) Taxonomieerzeugung
AT409966T (en) Vanadium - / - polyhalid-redoxflussbatterie
AT383128T (en) Hüftimplantataufbau
AT529134T (en) Hydroxyalkyl-drug-conjugate
EE200400090A (en) Ionoforeesiseade
AT401988T (en) Nanokristlallstrukturen

Legal Events

Date Code Title Description
RER Ceased as to paragraph 5 lit. 3 law introducing patent treaties