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- W4386907209 abstract "We give an alternative proof of the formula for the minimum distance of a projective Reed-Muller code of an arbitrary order. It leads to a complete characterization of the minimum weight codewords of a projective Reed-Muller code. This is then used to determine the number of minimum weight codewords of a projective Reed-Muller code. Various formulas for the dimension of a projective Reed-Muller code, and their equivalences are also discussed." @default.
- W4386907209 created "2023-09-21" @default.
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- W4386907209 creator A5091851287 @default.
- W4386907209 date "2023-09-18" @default.
- W4386907209 modified "2023-09-30" @default.
- W4386907209 title "On the Minimum Distance, Minimum Weight Codewords, and the Dimension of Projective Reed-Muller Codes" @default.
- W4386907209 doi "https://doi.org/10.3934/amc.2023035" @default.
- W4386907209 hasPublicationYear "2023" @default.
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