(Sigma-Delta) Codes
Boulagouaz, M. · Leroy, A.
Original · EN
In this paper we introduce the notion of cyclic (f(t),σ,δ)-codes for f(t)∈. These codes generalize the θ-codes as introduced by D. Boucher, F. Ulmer, W. Geiselmann BGU. We construct generic and control matrices for these codes. As a particular case the (,)-W-code associated to a Wedderburn polynomial are defined and we show that their control matrices are given by generalized Vandermonde matrices. All the Wedderburn polynomials of Fq[t;θ] are described and their control matrices are presented. A key role will be played by the pseudo-linear transformations.
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