Article ID Journal Published Year Pages File Type
8895710 Finite Fields and Their Applications 2018 9 Pages PDF
Abstract
In this paper we present several values for the next-to-minimal weights of projective Reed-Muller codes. We work over Fq with q≥3 since in [3] we have determined the complete values for the next-to-minimal weights of binary projective Reed-Muller codes. As in [3] here we also find examples of codewords with next-to-minimal weight whose set of zeros is not in a hyperplane arrangement.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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On the next-to-minimal weight of projective Reed-Muller codes
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