KR890702113A - 데이타 엔코딩 및 디코딩 시스템내에서 승산의 역을 계산하기위한 장치 - Google Patents

데이타 엔코딩 및 디코딩 시스템내에서 승산의 역을 계산하기위한 장치

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Publication number
KR890702113A
KR890702113A KR1019890700343A KR890700343A KR890702113A KR 890702113 A KR890702113 A KR 890702113A KR 1019890700343 A KR1019890700343 A KR 1019890700343A KR 890700343 A KR890700343 A KR 890700343A KR 890702113 A KR890702113 A KR 890702113A
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KR
South Korea
Prior art keywords
multiplication
inverse
calculating
conversion factor
data encoding
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KR1019890700343A
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English (en)
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KR930006519B1 (ko
Inventor
리흐-지흐 웽
Original Assignee
원본 미기재
디지탈 이큅먼트 코포레이션
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Publication of KR890702113A publication Critical patent/KR890702113A/ko
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Publication of KR930006519B1 publication Critical patent/KR930006519B1/ko

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    • 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
    • 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
    • G06F7/726—Inversion; Reciprocal calculation; Division of elements of a finite field
    • 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
    • G06F2207/72—Indexing scheme relating to groups G06F7/72 - G06F7/729
    • G06F2207/7209—Calculation via subfield, i.e. the subfield being GF(q) with q a prime power, e.g. GF ((2**m)**n) via GF(2**m)

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Probability & Statistics with Applications (AREA)
  • Algebra (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Correction Of Errors (AREA)

Abstract

내용 없음

Description

데이타 엔코딩 및 디코딩 시스템내에서 승산의 역을 계산하기위한 장치
본 내용은 요부공개 건이므로 전문내용을 수록하지 않았음
제1도는 양호한 실시예의 연산시에 행해진 플로우 챠트이고, 제2도는 본 발명에 따라 구성된 계수 (B/A)를 결정하기 위한 수단을 포함하는 디코더의 기능 블록도이다.

Claims (8)

  1. 2가지 요소의 갤로이스 필드 GF(2QM)의 계수(B/A)를 계산하기 위한 수단을 포함하는 엔코딩 또는 디코딩 장치에 있어서, 분모(A)를, 더 적은 갤로이스 필드 GF(2M)의 요소(C)로 변환하기 위한 수단, 요소(C)의 승산의 역(C-1)을 구하기 위한 수단, 승산의 역(C-1)을, A의 승산의 역(A-1)인 GF(2QM)의 요소로 변환하기위한 수단, 및 요소(B)를 승산의 역(A-1)에 승산하기 N이한 수단을 포함하는 것을 특징으로 하는 엔코딩 또는 디코딩 장치.
  2. 제1항에 있어서 요소(A)를 요소(C)로 변환하기 위한 수단이 다음과 같은 형태의 요소A[2(Q-1)M+2(Q-2)M+…+2M+1]을 계산하기 위한 수단을 포함하는 포함하는 것을 특징으로 하는 장치.
  3. 제2항에 있어서A[2(Q-1)M+2(Q-2)M+…+2M+1]을 계산하기 위한 수단이, 변환 인자A[2(Q-1)M+2(Q-2)M+…+2M+1]를 계산하기 위한 수단, 및A[2(Q-1)M+2(Q-2)M+…+2M+1]을 산출하기 위해 변환 인자를 A에 승산하기 위한 수단을 포함하는 것을 특징으로 하는 장차.
  4. 제1항에 있어서, 승산의 역(C-1)을 구하기 위한 수단이 GF(2M)의 모든 2M요소를 포함하는 조사표의 사용을 포함하는 것을 특징으로 하는 장치.
  5. 제1항에 있어서, 승산의 역(C-1)을, 요소(A)의 승산의 역으로 변환하기 위한 수단의 승산의 역(C-1)을 변환 인자에 승산하는 수단을 포함하는 것을 특징으로 하는 장치.
  6. 제1항에 있어서, 갤로이스 필드가 GF(2M)인 것을 특징으로 하는 장치.
  7. 제2항에 있어서, 갤로이스 필드 요소가 A2M+1의 형태인 것을 특징으로 하는 장치.
  8. 제3항에 있어서, 갤로이스 필드 변환 인자가 A2M인 것을 특징으로 하는 장치.
    ※ 참고사항 : 최초출원 내용에 의하여공개하는 것임.
KR1019890700343A 1987-06-26 1988-06-24 갤로이스 필드 gf(2^qm)의 요소를 제산하기 위한 장치 KR930006519B1 (ko)

Applications Claiming Priority (4)

Application Number Priority Date Filing Date Title
US067,712 1987-06-26
US07/067,712 US4975867A (en) 1987-06-26 1987-06-26 Apparatus for dividing elements of a Galois Field GF (2QM)
US067712 1987-06-26
PCT/US1988/002160 WO1989001660A1 (en) 1987-06-26 1988-06-24 Apparatus for computing multiplicative inverses in data encoding decoding devices

Publications (2)

Publication Number Publication Date
KR890702113A true KR890702113A (ko) 1989-12-22
KR930006519B1 KR930006519B1 (ko) 1993-07-16

Family

ID=22077872

Family Applications (1)

Application Number Title Priority Date Filing Date
KR1019890700343A KR930006519B1 (ko) 1987-06-26 1988-06-24 갤로이스 필드 gf(2^qm)의 요소를 제산하기 위한 장치

Country Status (9)

Country Link
US (1) US4975867A (ko)
EP (1) EP0328637B1 (ko)
JP (1) JPH07112162B2 (ko)
KR (1) KR930006519B1 (ko)
CN (1) CN1013715B (ko)
CA (1) CA1312954C (ko)
DE (1) DE3855684T2 (ko)
MX (1) MX164418B (ko)
WO (1) WO1989001660A1 (ko)

Families Citing this family (26)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0364627B1 (en) * 1988-10-18 1996-08-28 Koninklijke Philips Electronics N.V. Data processing apparatus for calculating a multiplicatively inverted element of a finite field
US5136592A (en) * 1989-06-28 1992-08-04 Digital Equipment Corporation Error detection and correction system for long burst errors
EP0431629A3 (en) * 1989-12-08 1993-07-21 Sony Corporation Mutual division circuit
KR940001147B1 (ko) * 1991-03-20 1994-02-14 삼성전자 주식회사 부분체 GF(2^m/2)을 이용한 GF(2^m)상의 연산방법 및 장치
JP3232602B2 (ja) * 1991-09-06 2001-11-26 ソニー株式会社 ユークリッドの互除回路
US5442578A (en) * 1991-12-12 1995-08-15 Sony Corporation Calculating circuit for error correction
US5379243A (en) * 1992-08-31 1995-01-03 Comstream Corporation Method and apparatus for performing finite field division
KR950010452B1 (ko) * 1992-11-30 1995-09-18 삼성전자 주식회사 유한체상의 역수 산출방법 및 장치
US5771244A (en) * 1994-03-09 1998-06-23 University Of Southern California Universal Reed-Solomon coder/encoder
FR2723455B1 (fr) * 1994-08-05 1996-10-31 Sgs Thomson Microelectronics Circuit d'inversion d'elements d'un corps de galois
US5493522A (en) * 1994-09-21 1996-02-20 Northrop Grumman Corporation Fast arithmetic modulo divider
US5771184A (en) * 1995-10-12 1998-06-23 Adaptec, Inc. System and method for solving quadratic equation in galois fields
US5812438A (en) * 1995-10-12 1998-09-22 Adaptec, Inc. Arithmetic logic unit and method for numerical computations in galois fields
FR2754616B1 (fr) * 1996-10-11 1998-12-04 Sgs Thomson Microelectronics Procede et circuit de division d'elements d'un corps de galois
KR100304193B1 (ko) * 1998-02-06 2001-11-22 윤종용 리드솔로몬복호기의역수구현회로
US6199088B1 (en) * 1998-06-30 2001-03-06 Quantum Corp. Circuit for determining multiplicative inverses in certain galois fields
US6772390B2 (en) 2000-11-30 2004-08-03 Quantum Corporation Erasure correction for ECC entities
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
US7283628B2 (en) * 2001-11-30 2007-10-16 Analog Devices, Inc. Programmable data encryption engine
AU2003249548A1 (en) * 2002-08-06 2004-02-23 Discretix Technologies Ltd. Method and device of manipulating data in finite fields
US7089276B2 (en) * 2002-10-18 2006-08-08 Lockheed Martin Corp. Modular Galois-field subfield-power integrated inverter-multiplier circuit for Galois-field division over GF(256)
TW200834411A (en) * 2007-02-06 2008-08-16 Univ Nat Chiao Tung Method of accomplishing finite field divider structure
CN102902510B (zh) * 2012-08-03 2016-04-13 华南理工大学 一种有限域求逆器
IL231550A0 (en) 2014-03-17 2014-08-31 Nuvoton Technology Corp Saving secure information in external memory
WO2018135511A1 (ja) * 2017-01-18 2018-07-26 日本電信電話株式会社 秘密計算方法、秘密計算システム、秘密計算装置、およびプログラム

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS57155667A (en) * 1981-03-23 1982-09-25 Sony Corp Arithmetic circuit of galois matter
DE3377029D1 (en) * 1982-06-15 1988-07-14 Toshiba Kk Apparatus for dividing the elements of a galois field
DE3376907D1 (en) * 1982-06-15 1988-07-07 Toshiba Kk Apparatus for dividing the elements of a galois field
ATE98030T1 (de) * 1984-01-21 1993-12-15 Sony Corp Verfahren und schaltung zur dekodierung von fehlercode-daten.

Also Published As

Publication number Publication date
KR930006519B1 (ko) 1993-07-16
CN1032595A (zh) 1989-04-26
EP0328637B1 (en) 1996-11-27
US4975867A (en) 1990-12-04
CA1312954C (en) 1993-01-19
DE3855684T2 (de) 1997-05-15
DE3855684D1 (de) 1997-01-09
EP0328637A4 (en) 1992-01-08
MX164418B (es) 1992-08-12
JPH07112162B2 (ja) 1995-11-29
CN1013715B (zh) 1991-08-28
JPH02503855A (ja) 1990-11-08
WO1989001660A1 (en) 1989-02-23
EP0328637A1 (en) 1989-08-23

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