Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.ffa.2011.11.006
Title: Binomial differentially 4 uniform permutations with high nonlinearity
Authors: Bracken, C.
Tan, C.H. 
Tan, Y. 
Keywords: APN function
Differentially 4 uniform function
Permutation polynomial
Quadratic function
Issue Date: May-2012
Citation: Bracken, C., Tan, C.H., Tan, Y. (2012-05). Binomial differentially 4 uniform permutations with high nonlinearity. Finite Fields and their Applications 18 (3) : 537-546. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ffa.2011.11.006
Abstract: Differentially 4 uniform permutations with high nonlinearity on fields of even degree are crucial to the design of S-boxes in many symmetric cryptographic algorithms. Until now, there are not many known such functions and all functions known are power functions. In this paper, we construct the first class of binomial differentially 4 uniform permutations with high nonlinearity on F 26m, where m is an odd integer. This result gives a positive answer to an open problem proposed in Bracken and Leander (2010) [7]. © 2011 Elsevier Inc. All rights reserved.
Source Title: Finite Fields and their Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/116938
ISSN: 10715797
DOI: 10.1016/j.ffa.2011.11.006
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