학술저널
DETERMINATION OF MINIMUM LENGTH OF SOME LINEAR CODES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 1
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2013.02147 - 159 (13 pages)
- 2
Hamada ([8]) and Maruta ([17]) proved the minimum length n3(6; d) = g3(6; d) + 1 for some ternary codes. In this paper we consider such minimum length problem for q ¸ 4, and we prove that nq(6; d) = gq(6; d)+1 for d = q5 ¡q3 ¡q2 ¡2q +e, 1 · e · q. Combining this result with Theorem A in [4], we have nq(6; d) =gq(6; d) + 1 for q5 ¡ q3 ¡ q2 ¡ 2q + 1 · d · q5- ¡ q3- ¡ q2 -with q ¸ 4.Note that nq(6; d) = gq(6; d) for q5 -¡ q3- ¡ q2 + 1 · d · q5 by Theorem 1.2.
1. Introduction
2. Preliminaries
3. Main theorem
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