Constructions of nonlinear covering codes

نویسنده

  • Alexander A. Davydov
چکیده

Constructions of nonlinear covering codes are given. Using any nonlinear starting code of covering radius R 2 these constructions form an infinite family of codes with the same covering radius. A nonlinear code is treated as a union of cosets of a linear code. New infinite families of nonlinear covering codes are obtained. Concepts of R; l-objects, R; l-partitions, and R; l-length are described for nonlinear codes.

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عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 43  شماره 

صفحات  -

تاریخ انتشار 1997