CA2286647C - Arithmetic processor - Google Patents
Arithmetic processor Download PDFInfo
- Publication number
- CA2286647C CA2286647C CA2286647A CA2286647A CA2286647C CA 2286647 C CA2286647 C CA 2286647C CA 2286647 A CA2286647 A CA 2286647A CA 2286647 A CA2286647 A CA 2286647A CA 2286647 C CA2286647 C CA 2286647C
- Authority
- CA
- Canada
- Prior art keywords
- arithmetic
- alu
- register
- finite field
- controller
- 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 OR CALCULATING; 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 OR CALCULATING; 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 OR CALCULATING; 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 OR CALCULATING; 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 OR CALCULATING; 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 OR CALCULATING; 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 OR CALCULATING; 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)
- Error Detection And Correction (AREA)
- Executing Machine-Instructions (AREA)
- Advance Control (AREA)
- Microcomputers (AREA)
Applications Claiming Priority (3)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| GB9707861.2 | 1997-04-18 | ||
| 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 |
|---|---|
| CA2286647A1 CA2286647A1 (en) | 1998-10-29 |
| CA2286647C true CA2286647C (en) | 2015-01-13 |
Family
ID=10810977
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CA2286647A Expired - Lifetime CA2286647C (en) | 1997-04-18 | 1998-04-20 | Arithmetic processor |
Country Status (8)
| Country | Link |
|---|---|
| US (5) | US6230179B1 (https=) |
| EP (2) | EP1293891B2 (https=) |
| JP (4) | JP2001520775A (https=) |
| AU (1) | AU7329198A (https=) |
| CA (1) | CA2286647C (https=) |
| DE (2) | DE69811877T2 (https=) |
| GB (1) | GB9707861D0 (https=) |
| WO (1) | WO1998048345A1 (https=) |
Families Citing this family (85)
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| GB9707861D0 (en) * | 1997-04-18 | 1997-06-04 | Certicom Corp | Arithmetic processor |
| US7197625B1 (en) * | 1997-10-09 | 2007-03-27 | Mips Technologies, Inc. | Alignment and ordering of vector elements for single instruction multiple data processing |
| US5864703A (en) | 1997-10-09 | 1999-01-26 | Mips Technologies, Inc. | Method for providing extended precision in SIMD vector arithmetic operations |
| 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>) |
| AU3286399A (en) * | 1998-12-18 | 2000-07-12 | Motorola, Inc. | Circuit and method of cryptographic multiplication |
| US6397241B1 (en) * | 1998-12-18 | 2002-05-28 | Motorola, Inc. | Multiplier cell and method of computing |
| 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 |
| DE60139401D1 (de) * | 2000-05-15 | 2009-09-10 | Sandisk Il Ltd | Erweiterung des bereichs rechnerischer körper von ganzen zahlen |
| 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 |
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| US7711763B2 (en) * | 2001-02-21 | 2010-05-04 | Mips Technologies, Inc. | Microprocessor instructions for performing polynomial arithmetic operations |
| US7599981B2 (en) * | 2001-02-21 | 2009-10-06 | Mips Technologies, Inc. | Binary polynomial multiplier |
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| WO2003040911A2 (fr) * | 2001-06-13 | 2003-05-15 | Zencod S.A. | Carte d'acceleration de traitement cryptographique |
| KR20030003435A (ko) * | 2001-06-30 | 2003-01-10 | 주식회사 시큐리티테크놀로지스 | 암호시스템에 사용하기 위한 최적의 역원을 구하기 위한방법 및 장치 |
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| US7283628B2 (en) | 2001-11-30 | 2007-10-16 | Analog Devices, Inc. | Programmable data encryption engine |
| 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 |
| US7269615B2 (en) * | 2001-12-18 | 2007-09-11 | Analog Devices, Inc. | Reconfigurable input Galois field linear transformer system |
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| US6003057A (en) | 1997-12-24 | 1999-12-14 | Motorola, Inc. | Galois field arithmetic logic unit circuit |
| US6199086B1 (en) | 1997-12-24 | 2001-03-06 | Motorola, Inc. | Circuit and method for decompressing compressed elliptic curve points |
| 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 |
-
1997
- 1997-04-18 GB GBGB9707861.2A patent/GB9707861D0/en active Pending
- 1997-12-24 US US08/997,960 patent/US6230179B1/en not_active Expired - Lifetime
- 1997-12-24 US US08/997,964 patent/US6266717B1/en not_active Expired - Lifetime
-
1998
- 1998-04-20 DE DE69811877T patent/DE69811877T2/de not_active Expired - Lifetime
- 1998-04-20 AU AU73291/98A patent/AU7329198A/en not_active Abandoned
- 1998-04-20 EP EP02027872.7A patent/EP1293891B2/en not_active Expired - Lifetime
- 1998-04-20 WO PCT/CA1998/000467 patent/WO1998048345A1/en not_active Ceased
- 1998-04-20 JP JP54461898A patent/JP2001520775A/ja not_active Withdrawn
- 1998-04-20 CA CA2286647A patent/CA2286647C/en not_active Expired - Lifetime
- 1998-04-20 EP EP98920431A patent/EP0976027B1/en not_active Expired - Lifetime
- 1998-04-20 DE DE69841492T patent/DE69841492D1/de not_active Expired - Lifetime
-
1999
- 1999-10-14 US US09/418,217 patent/US6349318B1/en not_active Expired - Lifetime
-
2001
- 2001-12-21 US US10/023,934 patent/US6735611B2/en not_active Expired - Lifetime
-
2004
- 2004-05-04 US US10/837,749 patent/US7424504B2/en not_active Expired - Fee Related
-
2007
- 2007-09-19 JP JP2007243107A patent/JP4980834B2/ja not_active Expired - Lifetime
-
2011
- 2011-03-07 JP JP2011049610A patent/JP2011134346A/ja not_active Withdrawn
-
2014
- 2014-07-07 JP JP2014139376A patent/JP5866128B2/ja not_active Expired - Lifetime
Also Published As
| Publication number | Publication date |
|---|---|
| EP1293891B1 (en) | 2010-02-03 |
| EP0976027A1 (en) | 2000-02-02 |
| JP4980834B2 (ja) | 2012-07-18 |
| DE69841492D1 (de) | 2010-03-25 |
| JP2014219994A (ja) | 2014-11-20 |
| EP0976027B1 (en) | 2003-03-05 |
| EP1293891A2 (en) | 2003-03-19 |
| US20020136402A1 (en) | 2002-09-26 |
| JP2001520775A (ja) | 2001-10-30 |
| DE69811877T2 (de) | 2003-12-18 |
| JP2008059595A (ja) | 2008-03-13 |
| US7424504B2 (en) | 2008-09-09 |
| EP1293891A3 (en) | 2004-09-08 |
| US6735611B2 (en) | 2004-05-11 |
| US6230179B1 (en) | 2001-05-08 |
| JP5866128B2 (ja) | 2016-02-17 |
| DE69811877D1 (de) | 2003-04-10 |
| WO1998048345A1 (en) | 1998-10-29 |
| GB9707861D0 (en) | 1997-06-04 |
| CA2286647A1 (en) | 1998-10-29 |
| EP1293891B8 (en) | 2010-04-14 |
| US20050044124A1 (en) | 2005-02-24 |
| EP1293891B2 (en) | 2017-04-12 |
| AU7329198A (en) | 1998-11-13 |
| JP2011134346A (ja) | 2011-07-07 |
| US6266717B1 (en) | 2001-07-24 |
| US6349318B1 (en) | 2002-02-19 |
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| OPERATIONS | Field of the Invention The present invention relates generally to improvements to digital signal processing and more particularly to advantageous methods and apparatus for providing improved Galois field operations. Background of the Invention |
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