Title :
Constructions of Difference Systems of Sets and Disjoint Difference Families
Author :
Fan, Cui Ling ; Lei, Jian Guo ; Chang, Yan Xun
Author_Institution :
Coll. of Math. & Inf. Sci., Hebei Normal Univ., Shijiazhuang
fDate :
7/1/2008 12:00:00 AM
Abstract :
Difference systems of sets (DSSs) are combinatorial structures that are a generalization of cyclic difference sets and arise in connection with code synchronization. In this correspondence, we give some constructions of DSS from cyclic designs and get some infinite classes of optimal difference systems of sets.
Keywords :
codes; set theory; synchronisation; code synchronization; combinatorial structures; cyclic difference sets; difference systems of sets; disjoint difference families; Decision support systems; Galois fields; Hamming distance; Information science; Linear code; Mathematics; Optical design; Spread spectrum communication; Code synchronization; cyclic design; cyclic difference family; difference system of sets (DSS); optical orthogonal code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.924673
