Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952149384> ?p ?o ?g. }
- W2952149384 abstract "We introduce the concept of $delta$-sequence. A $delta$-sequence $Delta$ generates a well-ordered semigroup $S$ in $mathbb{Z}^2$ or $mathbb{R}$. We show how to construct (and compute parameters) for the dual code of any evaluation code associated with a weight function defined by $Delta$ from the polynomial ring in two indeterminates to a semigroup $S$ as above. We prove that this is a simple procedure which can be understood by considering a particular class of valuations of function fields of surfaces, called plane valuations at infinity. We also give algorithms to construct an unlimited number of $delta$-sequences of the different existing types, and so this paper provides the tools to know and use a new large set of codes." @default.
- W2952149384 created "2019-06-27" @default.
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- W2952149384 date "2007-04-26" @default.
- W2952149384 modified "2023-10-18" @default.
- W2952149384 title "$delta$-sequences and Evaluation Codes defined by Plane Valuations at Infinity" @default.
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- W2952149384 hasPublicationYear "2007" @default.
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