dc.citation.endPage |
1097 |
- |
dc.citation.number |
2 |
- |
dc.citation.startPage |
1090 |
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dc.citation.title |
IEEE TRANSACTIONS ON INFORMATION THEORY |
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dc.citation.volume |
59 |
- |
dc.contributor.author |
Chung, Jin-Ho |
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dc.contributor.author |
Yang, Kyeongcheol |
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dc.date.accessioned |
2023-12-22T04:11:58Z |
- |
dc.date.available |
2023-12-22T04:11:58Z |
- |
dc.date.created |
2016-07-26 |
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dc.date.issued |
2013-02 |
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dc.description.abstract |
A mapping from BBZN to BBZM can be directly applied for the design of a sequence of period N with alphabet size M, where BBZ N denotes the ring of integers modulo N. The nonlinearity of such a mapping is closely related to the autocorrelation of the corresponding sequence. When M is a divisor of N, 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 BBZ-{p{2}-p} to BBZp 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. |
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dc.identifier.bibliographicCitation |
IEEE TRANSACTIONS ON INFORMATION THEORY, v.59, no.2, pp.1090 - 1097 |
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dc.identifier.doi |
10.1109/TIT.2012.2224146 |
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dc.identifier.issn |
0018-9448 |
- |
dc.identifier.scopusid |
2-s2.0-84872515896 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/20524 |
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dc.identifier.url |
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6329439 |
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dc.identifier.wosid |
000313728800028 |
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dc.language |
영어 |
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dc.publisher |
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
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dc.title |
A new class of balanced near-perfect nonlinear mappings and its application to sequence design |
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dc.type |
Article |
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dc.description.journalRegisteredClass |
scie |
- |
dc.description.journalRegisteredClass |
scopus |
- |