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Dual convolutional codes and the MacWilliams identities

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Author

Summary, in English

A recursion for sequences of spectra of truncated as well as tailbitten convolutional codes and their duals is derived. The order of this recursion is shown to be less than or equal to the rank of the weight adjacency matrix (WAM) for the minimal encoder of the convolutional code. It is sufficient to know finitely many spectra of these terminated convolutional codes in order to obtain an infinitely long sequence of spectra of their duals.

Publishing year

2012

Language

English

Pages

21-30

Publication/Series

Problems of Information Transmission

Volume

48

Issue

1

Document type

Journal article

Publisher

Springer

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Research group

  • Information Theory

ISBN/ISSN/Other

  • ISSN: 0032-9460