New construction of single-cycle T-function families

Shiyi ZHANG; Yongjuan WANG; Guangpu GAO

Paper 2016/1142

New construction of single-cycle T-function families

Shiyi ZHANG, 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.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: cryptography permutation function single cycle T-function numeration dictionary order
Contact author(s): shiyizhang1352 @ 163 com
History: 2016-12-14: received
Short URL: https://ia.cr/2016/1142
License: CC BY

BibTeX

@misc{cryptoeprint:2016/1142,
      author = {Shiyi ZHANG and Yongjuan WANG and Guangpu GAO},
      title = {New construction of single-cycle T-function families},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/1142},
      year = {2016},
      url = {https://eprint.iacr.org/2016/1142}
}