Convolutional Codes Derived From Group Character Codes
Giuliano G. La Guardia
TL;DR
This paper introduces new convolutional codes derived from group character codes, offering algebraic constructions with improved parameters and non-catastrophic properties, advancing coding theory.
Contribution
It presents a novel algebraic method to construct convolutional codes from group character codes with better parameters than existing codes.
Findings
Constructed new convolutional codes with algebraic methods
Codes have basic generator matrices and are non-catastrophic
Proposed codes outperform existing codes in literature
Abstract
New families of unit memory as well as multi-memory convolutional codes are constructed algebraically in this paper. These convolutional codes are derived from the class of group character codes. The proposed codes have basic generator matrices, consequently, they are non catastrophic. Additionally, the new code parameters are better than the ones available in the literature.
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Taxonomy
TopicsCoding theory and cryptography · Cellular Automata and Applications · Error Correcting Code Techniques