WO2014092533A8 - A method to construct bijective substitution box from non-permutation power functions - Google Patents

A method to construct bijective substitution box from non-permutation power functions Download PDF

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Publication number
WO2014092533A8
WO2014092533A8 PCT/MY2013/000229 MY2013000229W WO2014092533A8 WO 2014092533 A8 WO2014092533 A8 WO 2014092533A8 MY 2013000229 W MY2013000229 W MY 2013000229W WO 2014092533 A8 WO2014092533 A8 WO 2014092533A8
Authority
WO
WIPO (PCT)
Prior art keywords
bijective
substitution box
power functions
construct
map
Prior art date
Application number
PCT/MY2013/000229
Other languages
French (fr)
Other versions
WO2014092533A1 (en
Inventor
Herman ISA
Abdurashid MAMADOLIMOV
Muhammad REZA Z'ABA
Original Assignee
Mimos Berhad
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 Mimos Berhad filed Critical Mimos Berhad
Publication of WO2014092533A1 publication Critical patent/WO2014092533A1/en
Publication of WO2014092533A8 publication Critical patent/WO2014092533A8/en

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Classifications

    • 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
    • H04L9/002—Countermeasures against attacks on cryptographic mechanisms
    • H04L9/003—Countermeasures against attacks on cryptographic mechanisms for power analysis, e.g. differential power analysis [DPA] or simple power analysis [SPA]
    • 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

Abstract

A method to construct bijective substitution box by utilizing non-bijective power functions in the finite field by selecting a Boolean map from a plurality of non-bijective power functions (102); extending an image of said Boolean map to generate an extended map by adding another power function in finite field (104); obtaining a bijective function from said extended image by utilizing Balanced Boolean Function Maker algorithm (106); performing analysis on cryptographic properties of substitution box (110); and iterating said steps until said cryptographic properties meet predetermined condition of a bijective substitution box. Analysis is performed on cryptographic properties of substitution box to obtain substitution box with highest nonlinearity value of 104 and low differential uniformity value of 6. Further, a set of non-permutation linearly equivalent power functions are utilized (i.e. x3, x9 and x39) and binomial combination with selected candidates from set of all power functions in F2 8.
PCT/MY2013/000229 2012-12-12 2013-12-05 A method to construct bijective substitution box from non-permutation power functions WO2014092533A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
MYPI2012005375A MY163949A (en) 2012-12-12 2012-12-12 A method to construct bijective substitution box from non-permutation power functions
MYPI2012005375 2012-12-12

Publications (2)

Publication Number Publication Date
WO2014092533A1 WO2014092533A1 (en) 2014-06-19
WO2014092533A8 true WO2014092533A8 (en) 2016-09-01

Family

ID=50023818

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/MY2013/000229 WO2014092533A1 (en) 2012-12-12 2013-12-05 A method to construct bijective substitution box from non-permutation power functions

Country Status (2)

Country Link
MY (1) MY163949A (en)
WO (1) WO2014092533A1 (en)

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
ITUB20152708A1 (en) 2015-07-31 2017-01-31 St Microelectronics Srl PROCEDURE FOR OPERATING A CRITTOGRAPHY WITH SENSITIVE DATA MASKING, CRITTOGRAPHY AND CORRESPONDENT COMPUTER PRODUCT
CN109905231B (en) * 2019-02-26 2020-10-30 清华大学 Novel 4 x 4S box construction method special for password
CN110417732B (en) * 2019-06-20 2021-07-06 中国人民解放军战略支援部队信息工程大学 Boolean function algebraic number obtaining method and device for symmetric password design
CN113783684B (en) * 2021-09-15 2023-07-18 桂林电子科技大学 Construction method of 16-bit S box based on NFSR and Feistel structures

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
MY144134A (en) * 2009-06-22 2011-08-10 Mimos Berhad Bijective substitution box
MY144336A (en) * 2009-07-28 2011-08-24 Mimos Berhad Nonlinear boolean permutation

Also Published As

Publication number Publication date
WO2014092533A1 (en) 2014-06-19
MY163949A (en) 2017-11-15

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