Title :
Optimal self-dual codes over F2×F2 with respect to the Hamming weight
Author :
Betsumiya, Koichi ; Harada, Masaaki
Author_Institution :
Dept. of Bus. Inf. Sci., Jobu Univ., Gunma, Japan
Abstract :
In this paper, we study optimal self-dual codes and type IV self-dual codes over the ring F2×F2 of order 4. We give improved upper bounds on minimum Hamming and Lee weights for such codes. Using the bounds, we determine the highest minimum Hamming and Lee weights for such codes of lengths up to 30. We also construct optimal self-dual codes and type IV self-dual codes.
Keywords :
Hamming codes; dual codes; minimisation; Hamming weight; minimum Lee weight; optimal self-dual codes; type IV self-dual codes; upper bounds; Algebra; Computer science; Cryptography; Error correction codes; Galois fields; Hamming weight; Informatics; Linear code; Notice of Violation; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.822576
