2001/04/24 by Ryutaroh Matsumoto, Matsumoto, Ryutaroh, Masakuni Oishi +1
Computer Science · Engineering · Mathematics · #11T71 (Primary) 11G20 #14G50 #94B27 (Secondary) #Algebraic Geometry (math.AG) #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT) #Number Theory (math.NT) #cs.IT #graph theory and CDMA systems #math.AG #math.IT #math.NT #msc:11G20 #msc:11T71 #msc:14G50 #msc:94B27
paper · pdf · doi:10.48550/arxiv.math/0104222
LaTeX2e, 8 pages, 1 figure
arxiv created 2001/04/24 · openalex publication_date 2001/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a decoding method for the generalized algebraic geometry codes proposed by Xing et al. To show its practical usefulness, we give an example of generalized algebraic geometry codes of length 567 over F8 whose numbers of correctable errors by the proposed method are larger than the shortened codes of the primitive BCH codes of length 4095 in the most range of dimension.