Weight distribution of some reducible cyclic codes
Weight distribution of some reducible cyclic codes
复制标题
DOI：
10.1016/j.ffa.2007.03.003
复制
发表时间：
2008-04
期刊：
影响因子：
--
通讯作者：
K. Feng;Jinquan Luo
中科院分区：
文献类型：
--
作者：
K. Feng;Jinquan Luo
Let q=pmwhere p is an odd prime, m⩾3, k⩾1 and gcd(k,m)=1. Let Tr be the trace mapping from Fqto Fpand ζp=e2πip. In this paper we determine the value distribution of following two kinds of exponential sums and where χ(x)=ζpTr(x)is the canonical additive character of Fq. As an application, we determine the weight distribution of the cyclic codes C1and C2over Fpwith parity-check polynomial h2(x)h3(x) and h1(x)h2(x)h3(x), respectively, where h1(x), h2(x) and h3(x) are the minimal polynomials of π−1, π−2and [Formula: see text] over Fp, respectively, for a primitive element π of Fq.
