BRPI0516860A - método de computação criptográfica, sistema criptográfico, e, programa de computação - Google Patents
método de computação criptográfica, sistema criptográfico, e, programa de computaçãoInfo
- Publication number
- BRPI0516860A BRPI0516860A BRPI0516860-0A BRPI0516860A BRPI0516860A BR PI0516860 A BRPI0516860 A BR PI0516860A BR PI0516860 A BRPI0516860 A BR PI0516860A BR PI0516860 A BRPI0516860 A BR PI0516860A
- Authority
- BR
- Brazil
- Prior art keywords
- cryptographic
- computation
- factor
- speed
- computer program
- Prior art date
Links
Classifications
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/06—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols the encryption apparatus using shift registers or memories for block-wise or stream coding, e.g. DES systems or RC4; Hash functions; Pseudorandom sequence generators
-
- 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
- G06F7/725—Finite field arithmetic over elliptic curves
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
- H04L9/3066—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Physics (AREA)
- Computing Systems (AREA)
- Computational Mathematics (AREA)
- Computer Security & Cryptography (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- General Engineering & Computer Science (AREA)
- Algebra (AREA)
- Complex Calculations (AREA)
Abstract
MéTODO DE COMPUTAçãO CRIPTOGRáFICA, SISTEMA CRIPTOGRáFICO, E, PROGRAMA DE COMPUTAçãO. Um dispositivo e método realizando computação de alta velocidade segura de criptografia hiperelíptica. A velocidade de multiplicação escalar de um fator D de criptografia de curva hiperelíptica é aumentada executando computação incluindo multiplicação por 1/2. Por exemplo, computação escalar incluindo multiplicação por 1/2 de um fator D de uma curva de criptografia hiperelíptica tendo parâmetros h(x) = x� + x + h~ 0~ e f~ 4~ = O com um gênero de 2 e uma característica de 2, ou parâmetros h(x) x� + h~ 1~x + h~ 0~ e f~ 4~ = 0, ou um parâmetro h(x)=x é executado. De acordo com o valor de computação ¢l/2¬ i¬D! de um fator fixo D, uma tabela onde qual de k1, k1', e (k~ 1~, k~ 1~ ') está certo é registrado, é aplicada uma operação de elemento inversa é reduzida, por esse meio, reduzindo a quantidade de computação e aumentando a velocidade de computação.
Applications Claiming Priority (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP2004287166 | 2004-09-30 | ||
JP2005015071 | 2005-01-24 | ||
JP2005119587A JP4752313B2 (ja) | 2004-09-30 | 2005-04-18 | 暗号処理演算方法、および暗号処理装置、並びにコンピュータ・プログラム |
PCT/JP2005/017650 WO2006035732A1 (ja) | 2004-09-30 | 2005-09-26 | 暗号処理演算方法、および暗号処理装置、並びにコンピュータ・プログラム |
Publications (1)
Publication Number | Publication Date |
---|---|
BRPI0516860A true BRPI0516860A (pt) | 2008-09-23 |
Family
ID=36118877
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
BRPI0516860-0A BRPI0516860A (pt) | 2004-09-30 | 2005-09-26 | método de computação criptográfica, sistema criptográfico, e, programa de computação |
Country Status (6)
Country | Link |
---|---|
US (1) | US8014521B2 (pt) |
EP (1) | EP1796061A4 (pt) |
JP (1) | JP4752313B2 (pt) |
KR (1) | KR20070057882A (pt) |
BR (1) | BRPI0516860A (pt) |
WO (1) | WO2006035732A1 (pt) |
Families Citing this family (16)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP4513752B2 (ja) * | 2006-01-16 | 2010-07-28 | ソニー株式会社 | 暗号処理装置、および暗号処理方法、並びにコンピュータ・プログラム |
JP5023624B2 (ja) * | 2006-09-01 | 2012-09-12 | ソニー株式会社 | 暗号処理装置、および暗号処理方法、並びにコンピュータ・プログラム |
DE102007001070B3 (de) * | 2006-09-29 | 2008-04-30 | Siemens Ag | Verfahren zum verschlüsselten Datenausgleich eines Systems mit mindestens einem Datenträger und einem Lesegerät |
US8243919B2 (en) | 2007-03-07 | 2012-08-14 | Research In Motion Limited | Method and apparatus for performing elliptic curve scalar multiplication in a manner that counters power analysis attacks |
US8559625B2 (en) * | 2007-08-07 | 2013-10-15 | Inside Secure | Elliptic curve point transformations |
KR100965813B1 (ko) * | 2007-12-28 | 2010-06-24 | 경원대학교 산학협력단 | 유비쿼터스 환경에서 안전한 메시지 전송을 위한타원곡선기반의 rfid 암호 방법 |
US8619977B2 (en) * | 2008-01-15 | 2013-12-31 | Inside Secure | Representation change of a point on an elliptic curve |
JP5094882B2 (ja) * | 2008-01-18 | 2012-12-12 | 三菱電機株式会社 | 暗号パラメータ設定装置及び鍵生成装置及び暗号システム及びプログラム及び暗号パラメータ設定方法及び鍵生成方法 |
EP2124382A1 (de) * | 2008-05-20 | 2009-11-25 | Siemens Aktiengesellschaft | Verfahren zum verschlüsselten Datenaustausch und Kommunikationssystem |
US8369517B2 (en) * | 2008-08-12 | 2013-02-05 | Inside Secure | Fast scalar multiplication for elliptic curve cryptosystems over prime fields |
US8766778B2 (en) * | 2009-04-30 | 2014-07-01 | Certicom Corp. | System and method for authenticating RFID tags |
US8457305B2 (en) * | 2009-11-13 | 2013-06-04 | Microsoft Corporation | Generating genus 2 curves from invariants |
US9215069B2 (en) * | 2012-12-10 | 2015-12-15 | Intel Corporation | Methods and apparatus for device authentication with one-time credentials |
JP6059287B2 (ja) | 2015-05-12 | 2017-01-11 | 日本電信電話株式会社 | 行列三角化装置およびプログラム |
US11157240B2 (en) * | 2019-02-15 | 2021-10-26 | International Business Machines Corporation | Perform cryptographic computation scalar multiply instruction |
US12101403B2 (en) | 2022-10-26 | 2024-09-24 | Tencent America LLC | Interleaved scalar multiplication for elliptic curve cryptography |
Family Cites Families (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2000206879A (ja) * | 1999-01-14 | 2000-07-28 | Internatl Business Mach Corp <Ibm> | 標数2のガロア体上で定義される超楕円曲線のヤコビ多様体の群演算を実施する装置及び方法 |
US6377969B1 (en) * | 1999-04-23 | 2002-04-23 | General Dynamics Government Systems Corporation | Method for multiplication in Galois fields using programmable circuits |
FR2796177B1 (fr) | 1999-07-09 | 2001-10-12 | Oberthur Card Systems Sas | Procede de cryptographie mis en oeuvre entre deux entites echangeant des informations |
WO2001034473A1 (en) | 1999-11-08 | 2001-05-17 | Teepak Investments, Inc. | Method and apparatus for packing food casing strands as well as the package obtained |
US7200225B1 (en) * | 1999-11-12 | 2007-04-03 | Richard Schroeppel | Elliptic curve point ambiguity resolution apparatus and method |
US7113594B2 (en) * | 2001-08-13 | 2006-09-26 | The Board Of Trustees Of The Leland Stanford University | Systems and methods for identity-based encryption and related cryptographic techniques |
JP4001751B2 (ja) * | 2002-01-24 | 2007-10-31 | 株式会社日立製作所 | 超楕円曲線暗号のための演算装置 |
JP4304937B2 (ja) * | 2002-08-21 | 2009-07-29 | 日本電気株式会社 | ヤコビ群要素加算装置 |
JP2004205868A (ja) * | 2002-12-26 | 2004-07-22 | Hitachi Ltd | 超楕円曲線スカラー倍演算方法及び装置 |
JP2004205869A (ja) * | 2002-12-26 | 2004-07-22 | Hitachi Ltd | 超楕円曲線スカラー倍演算方法及び装置 |
JP2004205870A (ja) * | 2002-12-26 | 2004-07-22 | Hitachi Ltd | 超楕円曲線スカラー倍演算方法及び装置 |
WO2004112306A2 (en) * | 2003-06-12 | 2004-12-23 | Philips Intellectual Property & Standards Gmbh | Method for defence against differential power analysis attacks |
-
2005
- 2005-04-18 JP JP2005119587A patent/JP4752313B2/ja not_active Expired - Fee Related
- 2005-09-26 KR KR1020077007172A patent/KR20070057882A/ko active IP Right Grant
- 2005-09-26 WO PCT/JP2005/017650 patent/WO2006035732A1/ja active Application Filing
- 2005-09-26 EP EP05785181A patent/EP1796061A4/en not_active Withdrawn
- 2005-09-26 BR BRPI0516860-0A patent/BRPI0516860A/pt not_active IP Right Cessation
- 2005-09-26 US US11/576,305 patent/US8014521B2/en not_active Expired - Fee Related
Also Published As
Publication number | Publication date |
---|---|
KR20070057882A (ko) | 2007-06-07 |
US8014521B2 (en) | 2011-09-06 |
JP4752313B2 (ja) | 2011-08-17 |
WO2006035732A1 (ja) | 2006-04-06 |
EP1796061A1 (en) | 2007-06-13 |
JP2006227562A (ja) | 2006-08-31 |
EP1796061A4 (en) | 2008-11-26 |
US20080095357A1 (en) | 2008-04-24 |
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Legal Events
Date | Code | Title | Description |
---|---|---|---|
B08F | Application dismissed because of non-payment of annual fees [chapter 8.6 patent gazette] |
Free format text: REFERENTE A 8A ANUIDADE. |
|
B08K | Patent lapsed as no evidence of payment of the annual fee has been furnished to inpi [chapter 8.11 patent gazette] |
Free format text: REFERENTE AO DESPACHO 8.6 PUBLICADO NA RPI 2260 DE 29/04/2014. |