2012/07/31 by Akira Shiozaki, Shiozaki, Akira
Computer Science · Mathematics · #Cellular Automata and Applications #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1207.7222
8 pages, 5 figures
arxiv created 2012/07/31 · openalex publication_date 2012/07/31 · arxiv updated 2012/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.