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- W2013802129 abstract "In this paper we introduce the notion ofcyclic ($f(t),sigma,delta$)-codes for $f(t)in A[t;sigma,delta]$. These codesgeneralize the $theta$-codes asintroduced by D. Boucher, F. Ulmer, W. Geiselmann [2]. We constructgeneric and control matrices for these codes. As a particular casethe ($sigma,delta$)-$W$-code associated to a Wedderburnpolynomial are defined and we show that their control matrices are given bygeneralized Vandermonde matrices. All the Wedderburn polynomials of$mathbb F_q[t;theta]$ are described and their control matrices are presented.A key role willbe played by the pseudo-linear transformations." @default.
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- W2013802129 date "2013-10-01" @default.
- W2013802129 modified "2023-09-28" @default.
- W2013802129 title "($sigma,delta$)-codes" @default.
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- W2013802129 doi "https://doi.org/10.3934/amc.2013.7.463" @default.
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