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1. A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four.

Author

Wu, Rongsheng and Shi, Minjia

Subjects
*BINARY codes, *FINITE fields, *CIPHERS, *CIRCULANT matrices
Abstract

In this work, we study a family of self-dual four circulant codes and a family of self-dual four negacirculant codes, and the exact counting formula is derived for these families of codes. In addition, we prove that asymptotically good self-dual four circulant codes and negacirculant codes over finite fields exist, and both of them satisfy a modified Gilbert-Varshamov bound on the relative minimum distance with asymptotic rate 1 2. [ABSTRACT FROM AUTHOR]

Published
2020
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