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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)-qopen access
- Authors
- Cheon, E. J.; Kato, T.; Kim, S. J.
- Issue Date
- 28-Jul-2008
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Griesmer bound; linear code; projective space
- Citation
- DISCRETE MATHEMATICS, v.308, no.14, pp 3082 - 3089
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- DISCRETE MATHEMATICS
- Volume
- 308
- Number
- 14
- Start Page
- 3082
- End Page
- 3089
- ISSN
- 0012-365X
1872-681X
- Abstract
- 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.
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