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• W2097166133 abstract "Algebraic geometry codes are defined by divisors D and G on a curve over a finite field F. Often, G is supported by a single F-rational point and the resulting code is called a one-point code. Recently, there has been interest in allowing the divisor G to be more general as this can result in superior codes. In particular, one may obtain a code with better parameters by allowing G to be supported by m distinct F-rational points, where m > 1. In this paper, we demonstrate that a multipoint algebraic geometry code C may be embedded in a one-point code C'. Exploiting this fact, we obtain a minimum distance decoding algorithm for the multipoint code C. This is accomplished via list decoding in the one-point code C'." @default.
• W2097166133 created "2016-06-24" @default.
• W2097166133 creator A5076956756 @default.
• W2097166133 creator A5084201022 @default.
• W2097166133 date "2010-09-01" @default.
• W2097166133 modified "2023-09-26" @default.
• W2097166133 title "Minimum Distance Decoding of General Algebraic Geometry Codes via Lists" @default.
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• W2097166133 doi "https://doi.org/10.1109/tit.2010.2054670" @default.
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