Starters and related codes

被引：86
作者：
Chen, K [1 ]
Ge, GN [1 ]
Zhu, L [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2000年 / 86卷 / 02期
基金：
中国国家自然科学基金;
关键词：
skew starter; optical orthogonal code; generalized Steiner triple system; maximum constant weight code; frame starter;
D O I：
10.1016/S0378-3758(99)00119-6
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Starters and their connections with codes are discussed. It is shown that there exists a skew starter in Z(v) for all v such that gcd(v,6) = 1, v is either not divisible by 5 or divisible by 25. This can be used to show that there exists an optimal (6v,4, 1) optical orthogonal code in Z(6v) for all v such that gcd(v,6) = 1. By using frame starters with some special properties and their generalization, the spectrum of length n is determined to be n greater than or equal to 8 for maximum constant weight codes of distance 3 and weight 3 over an alphabet of size 7. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：379 / 395
页数：17
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