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- W2963777692 abstract "An important class of codes widely used in applications is the class of convolutional codesConvolutional code . Most of the literature of convolutional codesConvolutional code is devoted to convolutional codesConvolutional code over finite fields. The extension of the concept of convolutional codesConvolutional code from finite fields to finite rings have attracted much attention in recent years due to fact that they are the most appropriate codes for phase modulation. However convolutional codesConvolutional code over finite rings are more involved and not fully understood. Many results and features that are well-known for convolutional codesConvolutional code over finite fields have not been fully investigated in the context of finite rings. In this paper we focus in one of these unexplored areas, namely, we investigate the dual codes of convolutional codesConvolutional code over finite rings. In particular we study the p-dimension of the dual code of a convolutional codeConvolutional code over a finite ring. This contribution can be considered a generalization and an extension, to the ring case, of the work done by Forney and McEliece on the dimension of the dual code of a convolutional codeConvolutional code over a finite field." @default.
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- W2963777692 date "2017-01-01" @default.
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- W2963777692 title "The Dual of Convolutional Codes Over $${mathbb {Z}}_{p^r}$$" @default.
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- W2963777692 doi "https://doi.org/10.1007/978-3-319-49984-0_5" @default.
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