FR2853424B1 - Architecture de multiplicateurs polynomial et naturel combines - Google Patents
Architecture de multiplicateurs polynomial et naturel combinesInfo
- Publication number
- FR2853424B1 FR2853424B1 FR0304221A FR0304221A FR2853424B1 FR 2853424 B1 FR2853424 B1 FR 2853424B1 FR 0304221 A FR0304221 A FR 0304221A FR 0304221 A FR0304221 A FR 0304221A FR 2853424 B1 FR2853424 B1 FR 2853424B1
- Authority
- FR
- France
- Prior art keywords
- multipliers
- architecture
- natural
- combined polynomial
- polynomial
- 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
Links
Classifications
-
- 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
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/52—Multiplying; Dividing
- G06F7/523—Multiplying only
- G06F7/53—Multiplying only in parallel-parallel fashion, i.e. both operands being entered in parallel
- G06F7/5318—Multiplying only in parallel-parallel fashion, i.e. both operands being entered in parallel with column wise addition of partial products, e.g. using Wallace tree, Dadda counters
-
- 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
Priority Applications (7)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR0304221A FR2853424B1 (fr) | 2003-04-04 | 2003-04-04 | Architecture de multiplicateurs polynomial et naturel combines |
US10/615,476 US7266579B2 (en) | 2003-04-04 | 2003-07-07 | Combined polynomial and natural multiplier architecture |
PCT/US2004/008604 WO2004095539A2 (fr) | 2003-04-04 | 2004-03-22 | Architecture a multiplicateur combine polynomial et naturel |
CN200480009432A CN100583023C (zh) | 2003-04-04 | 2004-03-22 | 组合多项式和自然乘法的乘法器架构 |
EP09012998A EP2138931A1 (fr) | 2003-04-04 | 2004-03-22 | Architecture de multiplicateur naturel et polynomial combiné |
EP04759707A EP1614148A4 (fr) | 2003-04-04 | 2004-03-22 | Architecture a multiplicateur combine polynomial et naturel |
TW093109219A TWI340346B (en) | 2003-04-04 | 2004-04-02 | Combined polynomial and natural multiplier architecture |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR0304221A FR2853424B1 (fr) | 2003-04-04 | 2003-04-04 | Architecture de multiplicateurs polynomial et naturel combines |
Publications (2)
Publication Number | Publication Date |
---|---|
FR2853424A1 FR2853424A1 (fr) | 2004-10-08 |
FR2853424B1 true FR2853424B1 (fr) | 2005-10-21 |
Family
ID=32982248
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
FR0304221A Expired - Lifetime FR2853424B1 (fr) | 2003-04-04 | 2003-04-04 | Architecture de multiplicateurs polynomial et naturel combines |
Country Status (6)
Country | Link |
---|---|
US (1) | US7266579B2 (fr) |
EP (2) | EP2138931A1 (fr) |
CN (1) | CN100583023C (fr) |
FR (1) | FR2853424B1 (fr) |
TW (1) | TWI340346B (fr) |
WO (1) | WO2004095539A2 (fr) |
Families Citing this family (18)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
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 |
US7447726B2 (en) * | 2004-06-03 | 2008-11-04 | Arm Limited | Polynomial and integer multiplication |
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 |
FR2885711B1 (fr) * | 2005-05-12 | 2007-07-06 | Atmel Corp | Procede et materiel modulaire et aleatoire pour la reduction polynomiale |
US7849125B2 (en) * | 2006-07-07 | 2010-12-07 | Via Telecom Co., Ltd | Efficient computation of the modulo operation based on divisor (2n-1) |
US8275822B2 (en) * | 2007-01-10 | 2012-09-25 | Analog Devices, Inc. | Multi-format multiplier unit |
US8028015B2 (en) * | 2007-08-10 | 2011-09-27 | Inside Contactless S.A. | Method and system for large number multiplication |
US8478809B2 (en) * | 2007-12-15 | 2013-07-02 | Intel Corporation | Method and apparatus for multiplying polynomials with a prime number of terms |
CN101968732B (zh) * | 2010-10-09 | 2012-12-19 | 中国人民解放军信息工程大学 | 检错比特并行脉动阵列移位多项式基乘法器及其构造方法 |
US10049322B2 (en) * | 2015-05-21 | 2018-08-14 | Google Llc | Prefetching weights for use in a neural network processor |
US10171105B2 (en) | 2016-08-25 | 2019-01-01 | International Business Machines Corporation | Carry-less population count |
CN106484366B (zh) * | 2016-10-17 | 2018-12-14 | 东南大学 | 一种二元域位宽可变模乘运算器 |
US10884705B1 (en) | 2018-04-17 | 2021-01-05 | Ali Tasdighi Far | Approximate mixed-mode square-accumulate for small area machine learning |
US11416218B1 (en) | 2020-07-10 | 2022-08-16 | Ali Tasdighi Far | Digital approximate squarer for machine learning |
US11467805B1 (en) | 2020-07-10 | 2022-10-11 | Ali Tasdighi Far | Digital approximate multipliers for machine learning and artificial intelligence applications |
US20220121424A1 (en) * | 2020-10-21 | 2022-04-21 | PUFsecurity Corporation | Device and Method of Handling a Modular Multiplication |
RU2752485C1 (ru) * | 2020-12-03 | 2021-07-28 | Акционерное общество "ПКК МИЛАНДР" | Делитель частоты с переменным коэффициентом деления |
CN112732224B (zh) * | 2021-01-12 | 2024-01-05 | 东南大学 | 一种面向卷积神经网络的可重构近似张量乘加单元及方法 |
Family Cites Families (26)
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 |
US4797848A (en) | 1986-04-18 | 1989-01-10 | Hughes Aircraft Company | Pipelined bit-serial Galois Field multiplier |
US4918638A (en) | 1986-10-15 | 1990-04-17 | Matsushita Electric Industrial Co., Ltd. | Multiplier in a galois field |
US4875211A (en) | 1986-12-10 | 1989-10-17 | Matsushita Electric Industrial Co., Ltd. | Galois field arithmetic logic unit |
US4847801A (en) | 1987-10-26 | 1989-07-11 | Cyclotomics, Inc. | Compact galois field multiplier |
FR2628862B1 (fr) | 1988-03-17 | 1993-03-12 | Thomson Csf | Multiplieur-additionneur parametrable dans les corps de galois, et son utilisation dans un processeur de traitement de signal numerique |
US5414719A (en) | 1992-04-24 | 1995-05-09 | Sharp Kabushiki Kaisha | Operating circuit for galois field |
KR950015182B1 (ko) | 1993-11-20 | 1995-12-23 | 엘지전자주식회사 | 갈로아 필드 곱셈회로 |
US5642367A (en) | 1994-02-07 | 1997-06-24 | Mitsubishi Semiconductor America, Inc. | Finite field polynomial processing module for error control coding |
US5734600A (en) * | 1994-03-29 | 1998-03-31 | International Business Machines Corporation | Polynomial multiplier apparatus and method |
US5602767A (en) | 1995-08-29 | 1997-02-11 | Tcsi Corporation | Galois field polynomial multiply/divide circuit and a digital signal processor incorporating same |
US5812438A (en) | 1995-10-12 | 1998-09-22 | Adaptec, Inc. | Arithmetic logic unit and method for numerical computations in galois fields |
US5768168A (en) | 1996-05-30 | 1998-06-16 | Lg Semicon Co., Ltd. | Universal galois field multiplier |
US5956265A (en) * | 1996-06-07 | 1999-09-21 | Lewis; James M. | Boolean digital multiplier |
US6252959B1 (en) | 1997-05-21 | 2001-06-26 | Worcester Polytechnic Institute | Method and system for point multiplication in elliptic curve cryptosystem |
KR100389902B1 (ko) | 1997-06-23 | 2003-09-22 | 삼성전자주식회사 | 차분해독법과선형해독법에대하여안전성을보장하는고속블럭암호화방법 |
DE19733829C2 (de) | 1997-08-05 | 2000-02-24 | Micronas Semiconductor Holding | Verfahren zum Verschlüsseln bzw. Entschlüsseln einer Datenfolge |
JPH1196030A (ja) | 1997-09-22 | 1999-04-09 | Toyo Commun Equip Co Ltd | 有限体上の乗算方法及び乗算回路 |
US6134572A (en) | 1997-09-30 | 2000-10-17 | Texas Instruments Incorporated | Galois Field arithmetic apparatus and method |
US6003057A (en) | 1997-12-24 | 1999-12-14 | Motorola, Inc. | Galois field arithmetic logic unit circuit |
US6026420A (en) | 1998-01-20 | 2000-02-15 | 3Com Corporation | High-speed evaluation of polynomials |
US5999959A (en) | 1998-02-18 | 1999-12-07 | Quantum Corporation | Galois field multiplier |
US5951677A (en) | 1998-05-29 | 1999-09-14 | Texas Instruments Incorporated | Efficient hardware implementation of euclidean array processing in reed-solomon decoding |
US6282556B1 (en) * | 1999-10-08 | 2001-08-28 | Sony Corporation Of Japan | High performance pipelined data path for a media processor |
US7181484B2 (en) * | 2001-02-21 | 2007-02-20 | Mips Technologies, Inc. | Extended-precision accumulation of multiplier output |
-
2003
- 2003-04-04 FR FR0304221A patent/FR2853424B1/fr not_active Expired - Lifetime
- 2003-07-07 US US10/615,476 patent/US7266579B2/en active Active
-
2004
- 2004-03-22 CN CN200480009432A patent/CN100583023C/zh not_active Expired - Fee Related
- 2004-03-22 EP EP09012998A patent/EP2138931A1/fr not_active Ceased
- 2004-03-22 EP EP04759707A patent/EP1614148A4/fr not_active Withdrawn
- 2004-03-22 WO PCT/US2004/008604 patent/WO2004095539A2/fr active Search and Examination
- 2004-04-02 TW TW093109219A patent/TWI340346B/zh active
Also Published As
Publication number | Publication date |
---|---|
WO2004095539A2 (fr) | 2004-11-04 |
CN1781076A (zh) | 2006-05-31 |
EP1614148A2 (fr) | 2006-01-11 |
TW200504583A (en) | 2005-02-01 |
EP1614148A4 (fr) | 2006-06-21 |
TWI340346B (en) | 2011-04-11 |
FR2853424A1 (fr) | 2004-10-08 |
US7266579B2 (en) | 2007-09-04 |
US20040199560A1 (en) | 2004-10-07 |
EP2138931A1 (fr) | 2009-12-30 |
CN100583023C (zh) | 2010-01-20 |
WO2004095539A3 (fr) | 2005-12-08 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
FR2853424B1 (fr) | Architecture de multiplicateurs polynomial et naturel combines | |
DE60325132D1 (de) | Endoskopische Kapsel | |
NO20041872L (no) | Esterforbindelser og medisinsk anvendelse derav | |
IS8153A (is) | Ónæmisbælandi efnasambönd og efnablöndur | |
DK1370128T3 (da) | Kombineret ballepresse og ballevikler | |
DK1513873T3 (da) | Terapeutiske epitoper og anvendelser deraf | |
IS8305A (is) | Bindandi smíðar og aðferðir við notkun þeirra | |
DE60316652D1 (de) | Endoskop | |
IS7977A (is) | Samsetningar og aðferð til samsettra meðferðar | |
DE60336213D1 (de) | Chirurgisches klammergerät | |
IS7966A (is) | Pyrazól og aðferðir við að búa þau til og notkun þeirra | |
DE60329502D1 (de) | Kombiniertes sauerstoffsättigungs- und temperaturmessgerät | |
DK1644021T3 (da) | Fremgangsmåder og sammensætninger til behandlingen af gastrointestinale sygdomme | |
IS7725A (is) | Imidazólópyridín og aðferðir við framleiðslu og notkun þeirra | |
DK1539224T3 (da) | Antimikrobielt præparat og fremgangsmåde til anvendelse | |
DK1542710T3 (da) | Fremgangsmåde til konservering af organer og væv | |
DE602004017351D1 (de) | Fft-architektur und -verfahren | |
DE60326145D1 (de) | Spielermittlungsverfahren | |
DE60308158D1 (de) | Honigwabenstruktur und gehäuse dafür | |
IS8489A (is) | Umritunarstillar og aðferðir þeirra | |
DE602004017250D1 (de) | Endoskopische Zange | |
DE50300206D1 (de) | Medizinisches instrument | |
DE60234241D1 (de) | Endoskopische Kapsel | |
DE50303394D1 (de) | Ballontrokar | |
DK1408059T3 (da) | Latex og fremstilling heraf |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
TP | Transmission of property |
Owner name: INSIDE CONTACTLESS, FR Effective date: 20111128 |
|
CA | Change of address |
Effective date: 20140129 |
|
CD | Change of name or company name |
Owner name: INSIDE SECURE, FR Effective date: 20140129 |
|
PLFP | Fee payment |
Year of fee payment: 14 |
|
PLFP | Fee payment |
Year of fee payment: 15 |
|
CD | Change of name or company name |
Owner name: WISEKEY SEMICONDUCTORS, FR Effective date: 20170727 |
|
TP | Transmission of property |
Owner name: WISEKEY SEMICONDUCTORS, FR Effective date: 20170727 |
|
GC | Lien (pledge) constituted |
Effective date: 20170926 |
|
TP | Transmission of property |
Owner name: EXWORKS CAPITAL FUND I, L.P., US Effective date: 20171120 |
|
PLFP | Fee payment |
Year of fee payment: 16 |
|
PLFP | Fee payment |
Year of fee payment: 17 |
|
RG | Lien (pledge) cancelled |
Effective date: 20191010 |
|
PLFP | Fee payment |
Year of fee payment: 18 |
|
PLFP | Fee payment |
Year of fee payment: 19 |
|
PLFP | Fee payment |
Year of fee payment: 20 |