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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 |
| Appears in Collections: | Staff Publications |
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