Optimal Self-Dual Codes Over double struct F sign2 × double struct F sign2 With Respect to the Hamming Weight

Koichi Betsumiya; Masaaki Harada

doi:10.1109/TIT.2003.822576

Optimal Self-Dual Codes Over double struct F sign₂ × double struct F sign₂ With Respect to the Hamming Weight

Koichi Betsumiya, Masaaki Harada

Research output: Contribution to journal › Article

14 Citations (Scopus)

Abstract

In this correspondence, we study optimal self-dual codes and Type IV self-dual codes over the ring double struct F sign₂ × double struct F sign₂ 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.

Original language	English
Pages (from-to)	356-358+410
Journal	IEEE Transactions on Information Theory
Volume	50
Issue number	2
DOIs	https://doi.org/10.1109/TIT.2003.822576
Publication status	Published - 2004 Feb 1
Externally published	Yes

Keywords

Binary optimal codes
Self-dual codes over rings
Type IV self-dual codes

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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Betsumiya, K., & Harada, M. (2004). Optimal Self-Dual Codes Over double struct F sign₂ × double struct F sign₂ With Respect to the Hamming Weight. IEEE Transactions on Information Theory, 50(2), 356-358+410. https://doi.org/10.1109/TIT.2003.822576

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