New results on s-extremal additive codes over GF(4)

Author: Varbanov Zlatko G.  

Publisher: Inderscience Publishers

ISSN: 1753-7703

Source: International Journal of Information and Coding Theory, Vol.1, Iss.4, 2010-04, pp. : 400-409

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Abstract

The purpose of this paper is to study s-extremal additive codes over GF(4). The concept of s-extremality was introduced and the s-extremal additive codes with minimum distance up to 4 were classified by Bautista et al. In this paper, our goal is to construct (or classify if possible) new s-extremal codes with minimum distance at least 5. For d = 5, we classify the codes of length 13, and we construct 1,075 new codes of length 14. For d = 6, we classify the codes of length 14, and we construct 5 new codes of length 15. For d = 7, we construct four new codes of length 19.