Algebraic techniques for nonlinear codes

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1983 English Publisher:Springer Science and Business Media LLCJournal:Combinatorica, volume 3, pages 21-33 (issn: 0209-9683, eissn: 1439-6912,

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Authors: H. Bauer; Bernhard Ganter; Ferdinand Hergert;

doi: 10.1007/bf02579339

Algebraic techniques for nonlinear codes

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Abstract

We introduce some techniques for nonlinear systematic error-correcting codes over the two-element alphabet. As an application, we construct new perfect 1-error-correcting (15,11)-codes.

Related Organizations

Darmstadt University of Applied Sciences
Germany

Keywords

Other types of codes, perfect code, Jacobian matrix, parity check matrix, nonlinear block codes over GF(2), Vasil'ev-codes

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