DC Field | Value | Language |
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dc.contributor.author | Chung, JH | - |
dc.contributor.author | Yang, K | - |
dc.date.accessioned | 2016-03-31T08:38:34Z | - |
dc.date.available | 2016-03-31T08:38:34Z | - |
dc.date.created | 2013-03-26 | - |
dc.date.issued | 2013-02 | - |
dc.identifier.issn | 0018-9448 | - |
dc.identifier.other | 2013-OAK-0000027195 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/15723 | - |
dc.description.abstract | A mapping from Z(N) to Z(M) can be directly applied for the design of a sequence of period with alphabet size, where Z(N) denotes the ring of integers modulo. The nonlinearity of such a mapping is closely related to the autocorrelation of the corresponding sequence. When is a divisor of, the sequence corresponding to a perfect nonlinear mapping has perfect autocorrelation, but it is not balanced. In this paper, we study balanced near-perfect nonlinear (NPN) mappings applicable for the design of sequence sets with low correlation. We first construct a new class of balanced NPN mappings from Z(p2-p) to Z(p) for an odd prime p. We then present a general method to construct a frequency-hopping sequence (FHS) set from a nonlinear mapping. By applying it to the new class, we obtain a new optimal FHS set of period p(2) - p with respect to the Peng-Fan bound, whose FHSs are balanced and optimal with respect to the Lempel-Greenberger bound. Moreover, we construct a low-correlation sequence set with size p, period p(2) - p, and maximum correlation magnitude p from the new class of balanced NPN mappings, which is asymptotically optimal with respect to the Welch bound. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | - |
dc.relation.isPartOf | IEEE TRANSACTIONS ON INFORMATION THEORY | - |
dc.subject | Balancedness | - |
dc.subject | frequency-hopping sequences (FHS) | - |
dc.subject | Hamming correlation | - |
dc.subject | nonlinear mappings | - |
dc.subject | periodic correlation | - |
dc.subject | FREQUENCY-HOPPING SEQUENCES | - |
dc.subject | PERIODIC CORRELATION-PROPERTIES | - |
dc.subject | LARGE LINEAR SPAN | - |
dc.subject | CROSS-CORRELATION | - |
dc.subject | SIDELNIKOV SEQUENCES | - |
dc.subject | OPTIMAL CONSTRUCTIONS | - |
dc.subject | ARY SEQUENCES | - |
dc.subject | LOWER BOUNDS | - |
dc.subject | FAMILIES | - |
dc.subject | SETS | - |
dc.title | A New Class of Balanced Near-Perfect Nonlinear Mappings and Its Application to Sequence Design | - |
dc.type | Article | - |
dc.contributor.college | 전자전기공학과 | - |
dc.identifier.doi | 10.1109/TIT.2012.2224146 | - |
dc.author.google | Chung, JH | - |
dc.author.google | Yang, K | - |
dc.relation.volume | 59 | - |
dc.relation.issue | 2 | - |
dc.relation.startpage | 1090 | - |
dc.relation.lastpage | 1097 | - |
dc.contributor.id | 10055166 | - |
dc.relation.journal | IEEE TRANSACTIONS ON INFORMATION THEORY | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | IEEE TRANSACTIONS ON INFORMATION THEORY, v.59, no.2, pp.1090 - 1097 | - |
dc.identifier.wosid | 000313728800028 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 1097 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 1090 | - |
dc.citation.title | IEEE TRANSACTIONS ON INFORMATION THEORY | - |
dc.citation.volume | 59 | - |
dc.contributor.affiliatedAuthor | Yang, K | - |
dc.identifier.scopusid | 2-s2.0-84872515896 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 12 | - |
dc.description.scptc | 14 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordPlus | FREQUENCY-HOPPING SEQUENCES | - |
dc.subject.keywordPlus | CROSS-CORRELATION | - |
dc.subject.keywordPlus | ARY SEQUENCES | - |
dc.subject.keywordPlus | LOWER BOUNDS | - |
dc.subject.keywordPlus | FAMILIES | - |
dc.subject.keywordPlus | SETS | - |
dc.subject.keywordPlus | CONSTRUCTIONS | - |
dc.subject.keywordAuthor | Balancedness | - |
dc.subject.keywordAuthor | frequency-hopping sequences (FHS) | - |
dc.subject.keywordAuthor | Hamming correlation | - |
dc.subject.keywordAuthor | nonlinear mappings | - |
dc.subject.keywordAuthor | periodic correlation | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Information Systems | - |
dc.relation.journalWebOfScienceCategory | Engineering, Electrical & Electronic | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalResearchArea | Engineering | - |
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