Nonexistence of a [g(q)(5,d),5,d](q) code for 3(q)(4)-4(q)(3)-2(q)+1 <= d <= 3(q)(4)-4(q)(3)-q

Cheon, E. J.; Kato, T.; Kim, S. J.

doi:10.1016/j.disc.2007.08.033

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Nonexistence of a [g(q)(5,d),5,d](q) code for 3(q)(4)-4(q)(3)-2(q)+1 <= d <= 3(q)(4)-4(q)(3)-q

Cheon, E. J.;
Kato, T.;
Kim, S. J.

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3

초록

In this paper, we shall prove that there is no [3q(4) - q(3) - q(2) - 3q - 1, 5, 3q(4) - 4q(3) - 2q + 1](q). code over the finite field F-q for q >= 11. Thus, we conclude the nonexistence of a [g(q) (5, d), 5, d](q) code for 3q(4) - 4q(3) - 2q + 1 <= d <= 3q(4) - 4q(3) - q. (c) 2007 Elsevier B.V. All rights reserved.

키워드

Griesmer bound; linear code; projective space; QUATERNARY LINEAR CODES; MINIMUM LENGTH; DIMENSION-5

제목: Nonexistence of a [g(q)(5,d),5,d](q) code for 3(q)(4)-4(q)(3)-2(q)+1 <= d <= 3(q)(4)-4(q)(3)-q

저자: Cheon, E. J.; Kato, T.; Kim, S. J.

DOI: 10.1016/j.disc.2007.08.033

발행일: 2008-07-28

유형: Article; Proceedings Paper

저널명: Discrete Mathematics

권: 308

호: 14

페이지: 3082 ~ 3089

언어: ENG

출판사: ELSEVIER SCIENCE BV

발행국가: 네덜란드

분량: 8 페이지

ISSN: E 1872-681X
P 0012-365X