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dc.contributor.author이윤진*
dc.contributor.author이정연*
dc.date.accessioned2016-12-27T02:12:39Z-
dc.date.available2016-12-27T02:12:39Z-
dc.date.issued2016*
dc.identifier.issn0018-9448*
dc.identifier.issn1557-9654*
dc.identifier.otherOAK-19887*
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/233207-
dc.description.abstractPlateaued functions are very important cryptographic functions due to their desirable cryptographic characteristics. We find explicit criteria for the construction of p-ary r-plateaued functions with an odd prime p. We point out that 0-plateaued functions are bent functions, and so plateaued functions generalize the notion of bent functions. We first derive an explicit form for the Walsh-Hadamard transform of a p-ary r-plateaued function. We then obtain an upper bound on the degree of p-ary r-plateaued functions, and we classify p-ary (n - 1)-plateaued functions in n variables. We also obtain explicit criteria for the existence of p-ary r-plateaued functions. Accordingly, these results lead to improved bounds on the existence of p-ary bent functions.*
dc.languageEnglish*
dc.publisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC*
dc.subjectPlateaued function*
dc.subjectbent function*
dc.subjectp-ary function*
dc.subjectcryptographic function*
dc.subjectWalsh-Hadamard transform*
dc.titleExplicit Criteria for Construction of Plateaued Functions*
dc.typeArticle*
dc.relation.issue12*
dc.relation.volume62*
dc.relation.indexSCIE*
dc.relation.indexSCOPUS*
dc.relation.startpage7555*
dc.relation.lastpage7565*
dc.relation.journaltitleIEEE TRANSACTIONS ON INFORMATION THEORY*
dc.identifier.doi10.1109/TIT.2016.2582217*
dc.identifier.wosidWOS:000391739500055*
dc.identifier.scopusid2-s2.0-85000394595*
dc.author.googleHyun, Jong Yoon*
dc.author.googleLee, Jungyun*
dc.author.googleLee, Yoonjin*
dc.contributor.scopusid이윤진(23100337700)*
dc.contributor.scopusid이정연(23667995100)*
dc.date.modifydate20240123113558*
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자연과학대학 > 수학전공 > Journal papers
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