JP6621813B2 - 難読化された算術を実行するための電子計算装置 - Google Patents

難読化された算術を実行するための電子計算装置 Download PDF

Info

Publication number
JP6621813B2
JP6621813B2 JP2017516656A JP2017516656A JP6621813B2 JP 6621813 B2 JP6621813 B2 JP 6621813B2 JP 2017516656 A JP2017516656 A JP 2017516656A JP 2017516656 A JP2017516656 A JP 2017516656A JP 6621813 B2 JP6621813 B2 JP 6621813B2
Authority
JP
Japan
Prior art keywords
integer
ring
list
multiplication
ring element
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 - Fee Related
Application number
JP2017516656A
Other languages
English (en)
Japanese (ja)
Other versions
JP2017533458A5 (enExample
JP2017533458A (ja
Inventor
マリン,レアンドロ
アントニウス マリア ランベルテュス ブリューケルス,アルフォンス
アントニウス マリア ランベルテュス ブリューケルス,アルフォンス
マティアス ヒューベルテュス メヒティルディス アントニウス ホリッセン,パウリュス
マティアス ヒューベルテュス メヒティルディス アントニウス ホリッセン,パウリュス
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Koninklijke Philips NV
Original Assignee
Koninklijke Philips NV
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 Koninklijke Philips NV filed Critical Koninklijke Philips NV
Publication of JP2017533458A publication Critical patent/JP2017533458A/ja
Publication of JP2017533458A5 publication Critical patent/JP2017533458A5/ja
Application granted granted Critical
Publication of JP6621813B2 publication Critical patent/JP6621813B2/ja
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • 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
    • G06F7/38—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
    • G06F7/50—Adding; Subtracting
    • 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
    • G06F7/38—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
    • 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
    • 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
    • H04L9/0618—Block ciphers, i.e. encrypting groups of characters of a plain text message using fixed encryption transformation
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
    • H04L2209/16—Obfuscation or hiding, e.g. involving white box

Landscapes

  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Error Detection And Correction (AREA)
  • Complex Calculations (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
JP2017516656A 2014-09-30 2015-09-30 難読化された算術を実行するための電子計算装置 Expired - Fee Related JP6621813B2 (ja)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
EP14186951.1 2014-09-30
EP14186951 2014-09-30
PCT/EP2015/072635 WO2016050884A1 (en) 2014-09-30 2015-09-30 Electronic calculating device for performing obfuscated arithmetic

Publications (3)

Publication Number Publication Date
JP2017533458A JP2017533458A (ja) 2017-11-09
JP2017533458A5 JP2017533458A5 (enExample) 2018-11-08
JP6621813B2 true JP6621813B2 (ja) 2019-12-18

Family

ID=51625935

Family Applications (1)

Application Number Title Priority Date Filing Date
JP2017516656A Expired - Fee Related JP6621813B2 (ja) 2014-09-30 2015-09-30 難読化された算術を実行するための電子計算装置

Country Status (7)

Country Link
US (1) US10496372B2 (enExample)
EP (1) EP3201758A1 (enExample)
JP (1) JP6621813B2 (enExample)
CN (1) CN106716345A (enExample)
BR (1) BR112017006236A2 (enExample)
RU (1) RU2701716C2 (enExample)
WO (1) WO2016050884A1 (enExample)

Families Citing this family (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106716345A (zh) 2014-09-30 2017-05-24 皇家飞利浦有限公司 用于执行混淆算术的电子计算设备
EP3224982B1 (en) 2014-11-27 2018-07-11 Koninklijke Philips N.V. Electronic calculating device for performing obfuscated arithmetic
RU2710310C2 (ru) 2014-12-12 2019-12-25 Конинклейке Филипс Н.В. Электронное устройство формирования
BR112017013069A2 (pt) * 2014-12-22 2018-02-27 Koninklijke Philips Nv dispositivo e método de cálculo eletrônico, e programa de computador
JP2019523492A (ja) * 2016-07-21 2019-08-22 コーニンクレッカ フィリップス エヌ ヴェKoninklijke Philips N.V. 難読化算術を実行するためのデバイス及び方法
JP2020515093A (ja) * 2016-12-20 2020-05-21 コーニンクレッカ フィリップス エヌ ヴェKoninklijke Philips N.V. 符号化加算のための計算デバイス
US11456855B2 (en) * 2019-10-17 2022-09-27 Arm Limited Obfuscating data at-transit

Family Cites Families (39)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1418394A (en) 1921-01-27 1922-06-06 Joseph W Parks Tipping hand tool
FR2622713A1 (fr) * 1987-10-30 1989-05-05 Thomson Csf Circuit de calcul utilisant une arithmetique residuelle
US5069547A (en) 1988-11-23 1991-12-03 The Boeing Company Multitrack multilevel sensing system with error detecting
SU1667059A2 (ru) * 1989-07-11 1991-07-30 Научно-Исследовательский Институт Бытовой Радиоэлектронной Аппаратуры Устройство дл умножени двух чисел
US5270956A (en) * 1991-03-18 1993-12-14 University Of Maryland System and method for performing fast algebraic operations on a permutation network
US6760742B1 (en) * 2000-02-18 2004-07-06 Texas Instruments Incorporated Multi-dimensional galois field multiplier
CA2327911A1 (en) 2000-12-08 2002-06-08 Cloakware Corporation Obscuring functions in computer software
US7218734B2 (en) 2001-05-02 2007-05-15 Nciper Corporation Limited Ring arithmetic method, system, and apparatus
CA2369304A1 (en) 2002-01-30 2003-07-30 Cloakware Corporation A protocol to hide cryptographic private keys
EP1636932A2 (en) * 2003-06-13 2006-03-22 Koninklijke Philips Electronics N.V. Multiplication in a finite field
AU2004306594B2 (en) * 2003-10-14 2010-05-20 Panasonic Corporation Data converter
CN100585670C (zh) * 2004-03-31 2010-01-27 松下电器产业株式会社 一种将多个整数安全相加的计算机系统及方法
CN101167114A (zh) 2005-04-28 2008-04-23 松下电器产业株式会社 程序转换装置、加密处理装置以及加密处理方法
IE20050277A1 (en) * 2005-05-04 2006-11-29 Nat Univ Ireland Method and apparatus for generating error-correcting and error-detecting codes using zero-divisors and units in group rings
US8106463B2 (en) 2005-12-06 2012-01-31 Arm, Inc. Memory cells for read only memories
JP4938766B2 (ja) * 2006-04-28 2012-05-23 パナソニック株式会社 プログラム難読化システム、プログラム難読化装置及びプログラム難読化方法
CN1909555A (zh) * 2006-08-25 2007-02-07 华为技术有限公司 一种实现生成树协议局部计算的方法和交换环网系统
US8090097B2 (en) * 2006-10-11 2012-01-03 Frank Rubin Device, system and method for cryptographic key exchange
GB0621951D0 (en) * 2006-11-03 2006-12-13 Univ Oxford Brookes Polynonomial synthesis
US8752032B2 (en) 2007-02-23 2014-06-10 Irdeto Canada Corporation System and method of interlocking to protect software-mediated program and device behaviours
WO2009076669A1 (en) * 2007-12-13 2009-06-18 Massachusetts Institute Of Technology Private data processing
CA2717622C (en) 2008-03-05 2017-10-17 Irdeto B.V. White-box implementation
US8667301B2 (en) 2010-04-01 2014-03-04 Apple Inc. Obfuscating transformations on data array content and addresses
CN101969374B (zh) * 2010-10-27 2012-06-20 北京航空航天大学 分组密码算法中混淆层的实现方法
FR2968104B1 (fr) 2010-11-30 2013-07-12 Logiways France Procede et systeme de protection d'un dispositif de cryptographie
US8817974B2 (en) * 2011-05-11 2014-08-26 Nxp B.V. Finite field cryptographic arithmetic resistant to fault attacks
RU2467389C1 (ru) * 2011-06-07 2012-11-20 Антон Андреевич Краснопевцев Способ защиты программно-информационного обеспечения от несанкционированного использования
CN104981813B (zh) 2012-03-30 2018-08-07 爱迪德技术有限公司 使用动态数据识别编码来保护可访问的系统
US9313028B2 (en) 2012-06-12 2016-04-12 Kryptnostic Method for fully homomorphic encryption using multivariate cryptography
US9425978B2 (en) 2012-06-27 2016-08-23 Ubiquiti Networks, Inc. Method and apparatus for configuring and controlling interfacing devices
CN104395876B (zh) * 2012-07-06 2018-05-08 皇家飞利浦有限公司 没有算术和逻辑单元的计算机处理器和系统
EP2873186B1 (en) 2012-07-26 2018-03-07 NDS Limited Method and system for homomorphicly randomizing an input
KR102050732B1 (ko) 2012-09-28 2019-12-02 삼성전자 주식회사 컴퓨팅 시스템 및 컴퓨팅 시스템의 데이터 관리 방법
JP2016505891A (ja) * 2012-12-21 2016-02-25 コーニンクレッカ フィリップス エヌ ヴェKoninklijke Philips N.V. テーブルネットワークを有する計算装置
US9576116B2 (en) * 2013-12-26 2017-02-21 Nxp B.V. Secure software components anti-reverse-engineering by table interleaving
EP3127269B1 (en) 2014-03-31 2018-07-11 Irdeto B.V. Protecting an item of software
CN106716345A (zh) 2014-09-30 2017-05-24 皇家飞利浦有限公司 用于执行混淆算术的电子计算设备
EP3224982B1 (en) 2014-11-27 2018-07-11 Koninklijke Philips N.V. Electronic calculating device for performing obfuscated arithmetic
US9288039B1 (en) 2014-12-01 2016-03-15 Xerox Corporation Privacy-preserving text language identification using homomorphic encryption

Also Published As

Publication number Publication date
BR112017006236A2 (pt) 2017-12-12
RU2701716C2 (ru) 2019-09-30
WO2016050884A1 (en) 2016-04-07
US20170220320A1 (en) 2017-08-03
RU2017114868A (ru) 2018-11-07
CN106716345A (zh) 2017-05-24
JP2017533458A (ja) 2017-11-09
EP3201758A1 (en) 2017-08-09
RU2017114868A3 (enExample) 2019-04-24
US10496372B2 (en) 2019-12-03

Similar Documents

Publication Publication Date Title
KR102550812B1 (ko) 동형 암호를 이용한 암호문 비교 방법 및 이를 수행하기 위한 장치
JP2017533458A (ja) 難読化された算術を実行するための電子計算装置
EP3224982B1 (en) Electronic calculating device for performing obfuscated arithmetic
JP2019523492A (ja) 難読化算術を実行するためのデバイス及び方法
CN109889328B (zh) 基于直接匿名证明的装置和方法
JP6387466B2 (ja) 電子計算装置
CN117581507A (zh) 用于执行运算的系统和方法
Jalali et al. NEON SIKE: Supersingular isogeny key encapsulation on ARMv7
JP2017533458A5 (enExample)
CN106371803B (zh) 用于蒙哥马利域的计算方法和计算装置
CN111480140A (zh) 计算设备和方法
JP6368051B2 (ja) 電子生成装置
JPWO2006030496A1 (ja) 楕円曲線暗号演算装置、楕円曲線を用いた演算装置の演算方法および楕円曲線上の点のスカラー倍演算をコンピュータに実行させるプログラム
NL2015911B1 (en) Calculating device and method.
KR20150103644A (ko) 타원 곡선 상의 데이터의 암호 처리 방법, 대응하는 전자 디바이스 및 컴퓨터 프로그램 제품
JP6040052B2 (ja) ペアリング演算装置、ペアリング演算方法、およびプログラム
JP6522860B2 (ja) 計算装置及び方法
Dimovski Nonclassical convolutions and their uses
CN121283632A (zh) 数据处理方法、装置、处理器、计算机设备、介质及程序
Mostafa Using Random Digit Representation for Elliptic Curve Scalar Multiplication
CN114448634A (zh) 用于椭圆曲线加密的密钥

Legal Events

Date Code Title Description
A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20170404

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20180926

A621 Written request for application examination

Free format text: JAPANESE INTERMEDIATE CODE: A621

Effective date: 20180926

A977 Report on retrieval

Free format text: JAPANESE INTERMEDIATE CODE: A971007

Effective date: 20190627

A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20190716

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20190826

A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20190917

A521 Request for written amendment filed

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20191003

TRDD Decision of grant or rejection written
A01 Written decision to grant a patent or to grant a registration (utility model)

Free format text: JAPANESE INTERMEDIATE CODE: A01

Effective date: 20191023

A61 First payment of annual fees (during grant procedure)

Free format text: JAPANESE INTERMEDIATE CODE: A61

Effective date: 20191120

R150 Certificate of patent or registration of utility model

Ref document number: 6621813

Country of ref document: JP

Free format text: JAPANESE INTERMEDIATE CODE: R150

LAPS Cancellation because of no payment of annual fees