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- W3099899124 abstract "Mixed alphabet codes are the generalizations of the classical linear codes over finite fields and rings. In this letter we introduce a valid method of constructing mathbb F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</sub> R-additive codes, where p is a prime number, and R = mathbb F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</sub> +u mathbb F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</sub> with u <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> =0. These codes can be viewed as a combination of irreducible cyclic codes over mathbb F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</sub> and trace codes over R. In particular, by using the Gray map, part of the obtained image codes meets the Greismer bound with equality, and can be applied to construct new secret sharing scheme." @default.
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- W3099899124 date "2021-05-01" @default.
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- W3099899124 title "Some Classes of Mixed Alphabet Codes With Few Weights" @default.
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- W3099899124 doi "https://doi.org/10.1109/lcomm.2020.3038876" @default.
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