Title :
Constructions of ternary constant-composition codes with weight three
Author :
Svanström, Mattias
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
fDate :
11/1/2000 12:00:00 AM
Abstract :
We consider the problem of determining the maximum size of a ternary code with constant composition and Hamming weight three. We give several constructions of codes having maximum size and we also present an improvement of the Johnson (1962) bound. The results presented solve the problem for all lengths when d=3, as well as for lengths 7, 11, and all even lengths when d=4
Keywords :
ternary codes; Hamming weight three code; Johnson bound; block code; code constructions; code lengths; constant composition; lower bounds; maximum code size; optimal codes; ternary constant-composition codes; upper bounds; Associate members; Binary codes; Block codes; Councils; Hamming distance; Hamming weight; Linear code; Modular construction; Modulation coding;
Journal_Title :
Information Theory, IEEE Transactions on