Title :
Constructions for q-Ary Constant-Weight Codes
Author :
Chee, Yeow Meng ; Ling, San
Author_Institution :
Interactive & Digital Medias R&D Program, Media Dev. Authority, Singapore
Abstract :
This paper introduces a new combinatorial construction for q-ary constant-weight codes which yields several families of optimal codes and asymptotically optimal codes. The construction reveals intimate connection between q-ary constant-weight codes and sets of pairwise disjoint combinatorial designs of various types
Keywords :
codes; combinatorial mathematics; combinatorial construction; pairwise disjoint combinatorial design; q-ary constant-weight code; Codes; Hamming distance; Hamming weight; Instruments; Research and development; $q$-ary constant-weight codes; $t$ -designs; Disjoint codes; group divisible designs; incomplete group divisible designs; large sets of designs; probabilistic constructions;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.887499
