Convolutional Codes: Techniques of Construction

TL;DR

This paper explores methods for constructing new convolutional codes from existing ones using techniques like puncturing, extending, and product code construction, resulting in new code families derived from classical codes.

Contribution

It introduces systematic methods for constructing new convolutional codes from existing codes, expanding the repertoire of code families with practical applications.

Findings

New convolutional code families derived from BCH, character, and Melas codes.

Demonstrates the effectiveness of various construction techniques.

Provides a framework for generating codes with desired properties.

Abstract

In this paper we show how to construct new convolutional codes from old ones by applying the well-known techniques: puncturing, extending, expanding, direct sum, the (u|u + v) construction and the product code construction. By applying these methods, several new families of convolutional codes can be constructed. As an example of code expansion, families of convolutional codes derived from classical Bose- Chaudhuri-Hocquenghem (BCH), character codes and Melas codes are constructed.