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Nonexistence of a code for

Authors:	EJ Cheon T Kato SJ Kim

Institution:	^aDepartment of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea ^bDepartment of Mathematical Sciences, Yamaguchi University, Yamaguchi 753-8512, Japan ^cDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea

Abstract:	In this paper, we shall prove that there is no 3q⁴-q³-q²-3q-1,5,3q⁴-4q³-2q+1]_q code over the finite field for q11. Thus, we conclude the nonexistence of a g_q(5,d),5,d]_q code for 3q⁴-4q³-2q+1d3q⁴-4q³-q.

Keywords:	Griesmer bound Linear code Projective space
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