WO2003085879A3 - Cryptographic method - Google Patents

Cryptographic method Download PDF

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Publication number
WO2003085879A3
WO2003085879A3 PCT/EP2003/003601 EP0303601W WO03085879A3 WO 2003085879 A3 WO2003085879 A3 WO 2003085879A3 EP 0303601 W EP0303601 W EP 0303601W WO 03085879 A3 WO03085879 A3 WO 03085879A3
Authority
WO
WIPO (PCT)
Prior art keywords
machine
cryptographic method
data
processor
word length
Prior art date
Application number
PCT/EP2003/003601
Other languages
German (de)
French (fr)
Other versions
WO2003085879A2 (en
Inventor
Preda Mihailescu
Original Assignee
Preda Mihailescu
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
Application filed by Preda Mihailescu filed Critical Preda Mihailescu
Priority to AU2003229619A priority Critical patent/AU2003229619A1/en
Publication of WO2003085879A2 publication Critical patent/WO2003085879A2/en
Publication of WO2003085879A3 publication Critical patent/WO2003085879A3/en

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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
    • G06F7/60—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

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computing Systems (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Detection And Prevention Of Errors In Transmission (AREA)
  • Complex Calculations (AREA)

Abstract

The invention relates to a cryptographic method for the machine encryption of data and the machine decryption of the encrypted data or for encoding data. According to the invention, Galois fields that are adapted to the processor are used whose field characteristic p is adapted to the machine word length B, whereby 2B/2-2<p<2B.
PCT/EP2003/003601 2002-04-05 2003-04-07 Cryptographic method WO2003085879A2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
AU2003229619A AU2003229619A1 (en) 2002-04-05 2003-04-07 Cryptographic method

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
DE10215164 2002-04-05
DE10215164.4 2002-04-05

Publications (2)

Publication Number Publication Date
WO2003085879A2 WO2003085879A2 (en) 2003-10-16
WO2003085879A3 true WO2003085879A3 (en) 2004-10-28

Family

ID=28684791

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/EP2003/003601 WO2003085879A2 (en) 2002-04-05 2003-04-07 Cryptographic method

Country Status (2)

Country Link
AU (1) AU2003229619A1 (en)
WO (1) WO2003085879A2 (en)

Non-Patent Citations (5)

* Cited by examiner, † Cited by third party
Title
ANONYMOUS: "IEEE P1363a: Additional number-theoretic algorithms", INTERNET ARTICLE, XP002286074, Retrieved from the Internet <URL:http://web.archive.org/web/20010820191512/http://grouper.ieee.org/groups/1363/P1363a/NumThAlgs.html> [retrieved on 20040624] *
BAILEY D V ET AL: "Optimal extension fields for fast arithmetic in public-key algorithms", ADVANCES IN CRYPTOLOGY. CRYPTO '98. 18TH ANNUAL INTERNATIONAL CRYPTOLOGY CONFERENCE. SANTA BARBARA, AUG. 23 - 27, 1998. PROCEEDINGS, LECTURE NOTES IN COMPUTER SCIENCE ; VOL. 1462, BERLIN : SPRINGER, DE, 23 August 1998 (1998-08-23), pages 472 - 485, XP002165681, ISBN: 3-540-64892-5 *
INTERNET ARTICLE, XP002286073, Retrieved from the Internet <URL:http://web.archive.org/web/*/http://http://grouper.ieee.org/groups/1363/P1363a/NumThAlgs.html> [retrieved on 20040624] *
P. MIH?ILESCU: "Medium Galois Fields, their Bases and Arithmetic", February 2000 (2000-02-01), XP002286072, Retrieved from the Internet <URL:http://web.archive.org/web/20010820191512/http://grouper.ieee.org/groups/1363/P1363a/contributions/Medium.pdf> [retrieved on 20040624] *
Y. FUTA ET AL.: "Efficient construction of elliptic curves over optimal extension-field", TRANSACTIONS OF THE INFORMATION PROCESSING SOCIETY OF JAPAN, vol. 41, no. 8, August 2000 (2000-08-01), JAPAN, pages 2092 - 2101, XP008032150, ISSN: 0387-5806 *

Also Published As

Publication number Publication date
AU2003229619A8 (en) 2003-10-20
AU2003229619A1 (en) 2003-10-20
WO2003085879A2 (en) 2003-10-16

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