On Some Ternary LCD Codes

02/08/2018

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by   Nitin S. Darkunde, et al.

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The main aim of this paper is to study LCD codes. Linear code with complementary dual(LCD) are those codes which have their intersection with their dual code as {0}. In this paper we will give rather alternative proof of Massey's theorem8, which is one of the most important characterization of LCD codes. Let LCD[n,k]_3 denote the maximum of possible values of d among [n,k,d] ternary LCD codes. In 4, authors have given upper bound on LCD[n,k]_2 and extended this result for LCD[n,k]_q, for any q, where q is some prime power. We will discuss cases when this bound is attained for q=3.