Title :
Covering radii of ternary linear codes of small dimensions and codimensions
Author :
Baicheva, Tsonka S. ; Velikova, Evgenia D.
Author_Institution :
Inst. of Math. & Inf., Bulgarian Acad. of Sci., Tarnovo, Bulgaria
fDate :
11/1/1997 12:00:00 AM
Abstract :
The covering radii and the least covering radii of all two- and three-dimensional codes over GF(3) are given in the present work. The exact values of the least covering radii of some ternary linear codes of codimensions up to 8 are also determined, and a table of values of t3[n,k] for n⩽27 is presented
Keywords :
Galois fields; linear codes; GF(3); codimensions; covering radii; least covering radii; small dimensions; ternary linear codes; three-dimensional codes; two-dimensional codes; Binary codes; Hamming weight; Informatics; Linear code; Mathematics; Upper bound; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on