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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.ffa.2011.11.006
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dc.titleBinomial differentially 4 uniform permutations with high nonlinearity
dc.contributor.authorBracken, C.
dc.contributor.authorTan, C.H.
dc.contributor.authorTan, Y.
dc.date.accessioned2014-12-12T07:59:26Z
dc.date.available2014-12-12T07:59:26Z
dc.date.issued2012-05
dc.identifier.citationBracken, 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
dc.identifier.issn10715797
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/116938
dc.description.abstractDifferentially 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.ffa.2011.11.006
dc.sourceScopus
dc.subjectAPN function
dc.subjectDifferentially 4 uniform function
dc.subjectPermutation polynomial
dc.subjectQuadratic function
dc.typeArticle
dc.contributor.departmentTEMASEK LABORATORIES
dc.description.doi10.1016/j.ffa.2011.11.006
dc.description.sourcetitleFinite Fields and their Applications
dc.description.volume18
dc.description.issue3
dc.description.page537-546
dc.identifier.isiut000301807900005
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