Multi-Dimensional Nonsystematic Reed-Solomon Codes
Akira Shiozaki
TL;DR
This paper introduces a novel class of multi-dimensional nonsystematic Reed-Solomon codes constructed via multi-dimensional Fourier transforms, extending traditional codes to higher dimensions and analyzing their performance.
Contribution
It presents a new multi-dimensional extension of nonsystematic Reed-Solomon codes based on Fourier transforms over finite fields.
Findings
Enhanced code construction through multi-dimensional Fourier transforms
Extension of Reed-Solomon codes to higher dimensions
Performance analysis of the proposed codes
Abstract
This paper proposes a new class of multi-dimensional nonsystematic Reed-Solomon codes that are constructed based on the multi-dimensional Fourier transform over a finite field. The proposed codes are the extension of the nonsystematic Reed-Solomon codes to multi-dimension. This paper also discusses the performance of the multi-dimensional nonsystematic Reed-Solomon codes.
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Taxonomy
TopicsCoding theory and cryptography · Cellular Automata and Applications · Cooperative Communication and Network Coding