Second weight codewords of generalized Reed-Muller codes in some cases

Mathematics – Number Theory

Scientific paper

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Scientific paper

In this paper we give the second weight codewords of the generalized
Reed-Muller code of order r and length $q^m$ with $r=t(q-1)+s$, $0\leq t\leq
m-2$, $2\leq s\leq \frac{q}{2}

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