Construction of observable and MDP convolutional codes with good decodable properties for erasure channels by I/S/O representations

TL;DR

This paper presents a method for constructing observable convolutional codes using I/S/O representations, aiming to improve decoding performance over erasure channels by leveraging system invariance properties.

Contribution

It introduces a novel construction approach for convolutional codes based on I/S/O representations and group invariance, enhancing their decodability for erasure channels.

Findings

Constructed convolutional codes with improved decodability.

Utilized I/S/O representations to ensure code observability.

Demonstrated robustness of codes under erasure channel conditions.

Abstract

This paper addresses the construction of observable convolutional codes that exhibit good performance with the available decoding algorithms for erasure channels. Our construction is based on the use of input/state/output (I/S/O) representations and the invariance of certain properties of linear systems under various group actions.