Title :
Optimal quaternary linear rate-1/2 codes of length ≤18
Author :
Gulliver, T. Aaron ; Östergård, Patric R J ; Senkevitch, Nikolai I.
fDate :
6/1/2003 12:00:00 AM
Abstract :
We classify all optimal linear [n,n/2,d] codes over F4 up to length 18. In particular, we show that there is a unique optimal [12,6,6] code and three optimal [16,8,7] codes, up to equivalence.
Keywords :
linear codes; optimisation; codes length; codewords; finite field; optimal quaternary linear rate codes; Councils; Galois fields; Geometry; Linear code; Terminology;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.811929