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Optimal ( 4up, 5, 1) optical orthogonal codes
Author(s) -
Chang Yanxun,
Ji L.
Publication year - 2004
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.20011
Subject(s) - prime (order theory) , mathematics , mod , combinatorics , code (set theory) , discrete mathematics , computer science , set (abstract data type) , programming language
By a ( ν , k , 1)‐OOC we mean an optical orthogonal code. In this paper, it is proved that an optimal (4 p , 5, 1)‐OOC exists for prime p ≡ 1 (mod 10), and that an optimal (4 up , 5, 1)‐OOC exists for u = 2, 3 and prime p ≡ 11 (mod 20). These results are obtained by applying Weil's theorem. © 2004 Wiley Periodicals, Inc.
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