Cryptology ePrint Archive: Report 2016/1142

New construction of single-cycle T-function families

Shiyi ZHANG and Yongjuan WANG and Guangpu GAO

Abstract: The single cycle T-function is a particular permutation function with complex algebraic structures, maximum period and efficient implementation in software and hardware. In this paper, on the basis of existing methods, we present a new construction using a class of single cycle T-functions meeting certain conditions to construct a family of new single cycle T-functions, and we also give the numeration lower bound for the newly constructed single cycle T- functions.

Category / Keywords: secret-key cryptography / cryptography, permutation function, single cycle T-function, numeration, dictionary order

Date: received 8 Dec 2016

Contact author: shiyizhang1352 at 163 com

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Version: 20161214:190243 (All versions of this report)

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