Construction of Observable and MDP Convolutional Codes with Good Decodable Properties by ISO Representations

Noemí Decastro-García; Miguel V. Carriegos; Ángel Luis Muñoz Castañeda

doi:10.61822/amcs-2026-0011

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Construction of Observable and MDP Convolutional Codes with Good Decodable Properties by ISO Representations

International Journal of Applied Mathematics and Computer Science

Volume 36 (2026): Issue 1 (March 2026)

By: Noemí Decastro-García, Miguel V. Carriegos and Ángel Luis Muñoz Castañeda

Open Access

|Mar 2026

Abstract

This paper addresses the construction of observable and maximum distance profile convolutional codes over finite fields that exhibit good performance with some available decoding algorithms for convolutional codes. Our construction is based on the use of input/state/output representations and the invariance of certain properties of linear systems under various group actions. This framework allows us to systematically generate new convolutional codes from existing ones while preserving key decoding and distance properties.

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Articles in this issue

DOI: https://doi.org/10.61822/amcs-2026-0011 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 141 - 154

Submitted on: May 25, 2025

Accepted on: Sep 9, 2025

Published on: Mar 21, 2026

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

convolutional codes,

linear systems,

decoding,

maximum distance profile

Related subjects:

Mathematics,

Applied mathematics

© 2026 Noemí Decastro-García, Miguel V. Carriegos, Ángel Luis Muñoz Castañeda, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 36 (2026): Issue 1 (March 2026)