The Spectrum of (gv, g, 3, λ)-dDF in Zgv
The Spectrum of （gv, g, 3, λ）-dDF in Zgv作者机构：Institute of Mathematics Beijing Jiaotong University Beijing P. R. China
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期：2010年第26卷第2期
页 面：377-392页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：Supported by National Natural Science Foundation of China (Grant No.10771013)
主 题：directed difference family incomplete difference matrix perfect directed difference family
摘 要：In this paper, several recursive constructions for directed difference family and perfectdirected difference family are presented by means of difference matrix and incomplete difference *** the necessary and sufficient conditions for the existence of a (gv, g, 3, λ)-directed differencefamily in Zare established. As a consequence, the necessary and sufficient conditions for the existenceof a cyclic directed group divisible design with block size three and type g~v are obtained.
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