Differential spectrum of some power functions in odd prime characteristic
DC Field | Value | Language |
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dc.contributor.author | Choi, Sung-Tai | - |
dc.contributor.author | Hong, Seokbeom | - |
dc.contributor.author | No, Jong-Seon | - |
dc.contributor.author | Chung, Habong | - |
dc.date.accessioned | 2021-11-11T04:41:34Z | - |
dc.date.available | 2021-11-11T04:41:34Z | - |
dc.date.created | 2021-11-10 | - |
dc.date.issued | 2013-05 | - |
dc.identifier.issn | 1071-5797 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/17131 | - |
dc.description.abstract | Upper bound on triangle(f) of the power function x(pk+1/2) in F-pn (Helleseth et al. (1999) 17]) is not tight, for example p = 5, n = 3, and k = 2, which is the motivation of this work. In this paper, for an odd prime p, the differential spectrum of the power function x(pk+1/2) in F-pn is calculated. For an odd prime p such that p equivalent to 3 mod 4 and odd n with m vertical bar n, the differential spectrum of the power function in F-pn is also derived. We also find some new power function x(pn+1/pm+1+pn-1/2) in F-pn is also derived. We also find some new power functions which are differentially 4 and 6-uniform. (C) 2013 Elsevier Inc. All rights | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Differential spectrum of some power functions in odd prime characteristic | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Chung, Habong | - |
dc.identifier.doi | 10.1016/j.ffa.2013.01.002 | - |
dc.identifier.scopusid | 2-s2.0-84873046763 | - |
dc.identifier.wosid | 000316034600002 | - |
dc.identifier.bibliographicCitation | FINITE FIELDS AND THEIR APPLICATIONS, v.21, pp.11 - 29 | - |
dc.relation.isPartOf | FINITE FIELDS AND THEIR APPLICATIONS | - |
dc.citation.title | FINITE FIELDS AND THEIR APPLICATIONS | - |
dc.citation.volume | 21 | - |
dc.citation.startPage | 11 | - |
dc.citation.endPage | 29 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Almost perfect nonlinear | - |
dc.subject.keywordAuthor | Cyclotomic class | - |
dc.subject.keywordAuthor | Differential spectrum | - |
dc.subject.keywordAuthor | Odd prime characteristic | - |
dc.subject.keywordAuthor | Perfect nonlinear | - |
dc.subject.keywordAuthor | Power function | - |
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