Self-Dual Convolutional Codes

TL;DR

This paper explores the properties and construction methods of self-dual convolutional codes, providing classifications for certain small parameter cases and extending techniques from linear block codes.

Contribution

It introduces the concept of self-dual convolutional codes, generalizes construction techniques, and offers a complete classification for specific small parameters.

Findings

Derived basic properties of self-dual convolutional codes

Generalized construction techniques from linear block codes

Provided complete classifications for certain small parameters

Abstract

This paper investigates the concept of self-dual convolutional code. We derive the basic properties of this interesting class of codes and we show how some of the techniques to construct self-dual linear block codes generalize to self-dual convolutional codes. As for self-dual linear block codes we are able to give a complete classification for some small parameters.