Title :
On the covering radius of binary [14, 6] codes containing the all-one vector
Author :
Dodunekov, Stefan M. ; Manev, Krassimir N. ; Tonchev, Vladimir D.
Author_Institution :
Inst. of Math., Bulgarian Acad. of Sci., Sofia, Bulgaria
fDate :
5/1/1988 12:00:00 AM
Abstract :
It is shown that the covering radius of any binary linear [14, 6] code containing the all-one vector is at least 4. Since the minimum covering radius of a binary linear [14, 6] code is 3, this shows that in general the minimum of the covering radius is not achieved by codes containing the all-one vector
Keywords :
error correction codes; all-one vector; binary linear [14, 6] code; covering radius; Councils; Hamming distance; Hamming weight; Mathematics; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
