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On Balanced Optimal (18u,{3,4},1) Optical Orthogonal Codes

โœ Scribed by Hengming Zhao


Book ID
112120481
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
564 KB
Volume
20
Category
Article
ISSN
1063-8539

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๐Ÿ“œ SIMILAR VOLUMES


Optimal (4up, 5, 1) optical orthogonal c
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## Abstract By a (__ฮฝ__, __k__, 1)โ€OOC we mean an optical orthogonal code. In this paper, it is proved that an optimal (4__p__, 5, 1)โ€OOC exists for prime __p__ โ‰ก 1 (mod 10), and that an optimal (4__up__, 5, 1)โ€OOC exists for __u__โ€‰=โ€‰2, 3 and prime __p__โ€‰โ‰กโ€‰11 (mod 20). These results are obtained by

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By a (v; k; 1)-OOC we mean an optical orthogonal code of length v, weight k, and correlation constraints 1. In this paper, we take advantage of the equivalence between such codes and cyclic packings of pairs to make further investigation regarding the existence of a (v; 4; 1)-OOC. It is proved that

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## Abstract Optimal **(__v__, 4,2,1)** optical orthogonal codes (OOCs) with **__v__**โฉฝ**75** and **__v__**โ‰ **71** are classified up to isomorphism. One **(__v__, 4,2,1)** OOC is presented for all **__v__**โฉฝ**181**, for which an optimal OOC exists. Copyright ยฉ 2011 Wiley Periodicals, Inc. J Combin D