Algebraic techniques for nonlinear codes

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.

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Bauer, H., Ganter, B. & Hergert, F. Algebraic techniques for nonlinear codes. Combinatorica 3, 21–33 (1983). https://doi.org/10.1007/BF02579339

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AMS subject classification 1980

  • 94 B 60