Constructions of optimal optical orthogonal codes with weight five | Zendy

Ma Shikui | Zendy; Chang Yanxun | Zendy

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Constructions of optimal optical orthogonal codes with weight five

Author(s) -

Ma Shikui,

Chang Yanxun

Publication year - 2005

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.20022

Subject(s) - mathematics , combinatorics , integer (computer science) , character (mathematics) , skew , product (mathematics) , discrete mathematics , computer science , telecommunications , geometry , programming language

Several direct constructions via skew starters and Weil's theorem on character sum estimates are given in this paper for optimal ( gv , 5, 1) optical orthogonal codes (OOCs) where 60 ≤ g ≤ 180 satisfying g ≡ 0 (mod 20) and v is a product of primes greater than 5. These improve the known existence results on optimal OOCs. Especially, we provide an optimal ( v , 5, 1)‐OOC for any integer v ≡ 60, 420, 660, 780, 1020, 1140, 1380, 1740 (mod 1800). © 2004 Wiley Periodicals, Inc. J Combin Designs 13: 54–69, 2005.

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