Performance of ternary double circulant, double twistulant, and self-dual codes

TL;DR

This paper compares the decoding error performance of various ternary codes, including isodual, self-dual, double circulant, and twistulant codes, highlighting their relative strengths in bounded distance decoding.

Contribution

It provides a comparative analysis of the decoding performance of different classes of ternary codes, focusing on self-dual and related code structures.

Findings

Double circulant and twistulant codes outperform some self-dual codes in decoding error probability.

Self-dual codes with large minimum weights show improved error performance.

The study offers insights into the effectiveness of different code constructions for error correction.

Abstract

We study the performance of ternary isodual codes which are not self-dual and ternary self-dual codes, as measured by the decoding error probability in bounded distance decoding. We compare the performance of ternary double circulant and double twistulant codes which are not self-dual with ternary extremal self-dual codes. We also investigate the performance of ternary self-dual codes having large minimum weights.