Nonlinear q-ary codes with large code distance


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Abstract

We construct a family of nonlinear q-ary codes obtained from the corresponding families of modified complex Butson–Hadamard matrices. Parameters of the codes are quite close to the Plotkin bound and in a number of cases attain this bound. Furthermore, these codes admit rather simple encoding and decoding procedures.

About the authors

S. A. Stepanov

Kharkevich Institute for Information Transmission Problems

Author for correspondence.
Email: sa-stepanov@iitp.ru
Russian Federation, Moscow

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