Emergent Mind
The weight distribution of a family of p-ary cyclic codes
(1405.5278)
Published May 21, 2014
in
cs.IT
and
math.IT
Abstract
Let m, k be positive integers, p be an odd prime and $\pi $ be a primitive element of $\mathbb{F}{pm}$. In this paper, we determine the weight distribution of a family of cyclic codes $\mathcal{C}t$ over $\mathbb{F}_p$, whose duals have two zeros $\pi{-t}$ and $-\pi{-t}$, where $t$ satisfies $t\equiv \frac{pk+1}{2}p\tau \ ({\rm mod}\ \frac{pm-1}{2}) $ for some $\tau \in {0,1,\cdots, m-1}$.
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