Title :
Quaternary Constant-Composition Codes With Weight 4 and Distances 5 or 6
Author :
Zhu, Mingzhi ; Ge, Gennian
Author_Institution :
Department of Mathematics, Zhejiang University, Hangzhou, Republic of China
Abstract :
The sizes of optimal constant-composition codes (CCCs) of weight 3 have been determined by Chee, Ge, and Ling with four cases in doubt. Group divisible codes (GDCs) played an important role in their constructions. In this paper, we study the problem of constructing optimal quaternary CCCs with Hamming weight 4 and minimum distances 5 or 6 through GDCs and Room square approaches. The problem is solved leaving only five lengths undetermined. Previously, the results on the sizes of such quaternary CCCs were scarce.
Keywords :
Filling; Frequency modulation; Hamming weight; Indexes; Silicon; Spread spectrum communication; Vectors; Constant-composition codes (CCCs); Room square constructions; group divisible codes (GDCs); quaternary codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2201692
