Title :
On Type II codes over F4
Author :
Betsumiya, Koichi ; Gulliver, T. Aaron ; Harada, Masaaki ; Munemasa, Akihiro
Author_Institution :
Graduate Sch. of Math., Nagoya Univ., Japan
fDate :
9/1/2001 12:00:00 AM
Abstract :
Previously, Type II codes over F4 have been introduced as Euclidean self-dual codes with the property that all Lee weights are divisible by four. In this paper, a number of properties of Type II codes are presented. We construct several extremal Type II codes and a number of extremal Type I codes. It is also shown that there are seven Type II codes of length 12, up to permutation equivalence
Keywords :
binary codes; dual codes; linear codes; Euclidean self-dual codes; F4; Lee weights; extremal Type I codes; extremal Type II codes; permutation equivalence; Binary codes; Galois fields; Hamming weight; Linear code; Mathematics; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
