dc.citation.endPage |
2317 |
- |
dc.citation.number |
4 |
- |
dc.citation.startPage |
2306 |
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dc.citation.title |
IEEE TRANSACTIONS ON INFORMATION THEORY |
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dc.citation.volume |
57 |
- |
dc.contributor.author |
Chung, Jin-Ho |
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dc.contributor.author |
Yang, Kyeongcheol |
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dc.date.accessioned |
2023-12-22T06:12:17Z |
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dc.date.available |
2023-12-22T06:12:17Z |
- |
dc.date.created |
2016-07-26 |
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dc.date.issued |
2011-04 |
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dc.description.abstract |
For an integer k ≥ 1, let qi, 1 ≤ I ≤ k, be prime powers such that qi=Mi f + 1 for some integers M i and f. In this paper, the k -fold cyclotomy of double-struck F signq1 × ⋯ × double-struck F signqk as a nontrivial generalization of the conventional cyclotomy ( k=1 case) and its application to frequency-hopping sequences (FHSs) are presented, where double-struck F signq is the finite field with q elements. First, the definitions of k -fold cyclotomic classes and k-fold cyclotomic numbers are given. And then, their basic properties including k -fold diagonal sums are derived. Based on them, new optimal FHS sets of length N and frequency set size M or M+1 with respect to the Peng-Fan bound are constructed for a product N of distinct odd primes and a divisor M of N-1. Furthermore, new optimal FHSs of length N and frequency set size M with respect to the LempelGreenberger bound are constructed when N has at least one prime factor which is 3 modulo 4 and (N-1)/M is an even integer. Our constructions give several new optimal parameters not covered in the literature, which are summarized in Table I. |
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dc.identifier.bibliographicCitation |
IEEE TRANSACTIONS ON INFORMATION THEORY, v.57, no.4, pp.2306 - 2317 |
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dc.identifier.doi |
10.1109/TIT.2011.2112235 |
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dc.identifier.issn |
0018-9448 |
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dc.identifier.scopusid |
2-s2.0-79952830824 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/20526 |
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dc.identifier.url |
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5730594 |
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dc.identifier.wosid |
000288459100035 |
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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 |
k-fold cyclotomy and its application to frequency-hopping sequences |
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dc.type |
Article |
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dc.description.journalRegisteredClass |
scie |
- |
dc.description.journalRegisteredClass |
scopus |
- |