Weight distributions of two classes of linear codes
نویسنده
چکیده
Let Fq be the finite field with q = p m elements, where p is an odd prime and m is a positive integer. Let u be a positive integer and Tr be the trace function from Fq to Fp. We define a p-ary linear codes CD = {c(a, b) = (Tr(ax+ by))(x,y)∈D : a, b ∈ Fq}, where D = {(x, y) ∈ Fq\{(0, 0)} : Tr(x1 + y u+1) = 0} and N1 = 1 or 2. In this paper, we use Weil sums to investigate weight distributions of linear codes CD and prove that they have two or three nonzero weights.
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