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  • 标题:Good Quasi-Cyclic Codes from Circulant Matrices Concatenation using a Heuristic Method
  • 本地全文:下载
  • 作者:Bouchaib AYLAJ ; Said NOUH ; Mostafa BELKASMI
  • 期刊名称:International Journal of Advanced Computer Science and Applications(IJACSA)
  • 印刷版ISSN:2158-107X
  • 电子版ISSN:2156-5570
  • 出版年度:2016
  • 卷号:7
  • 期号:9
  • DOI:10.14569/IJACSA.2016.070909
  • 出版社:Science and Information Society (SAI)
  • 摘要:In this paper we present a method to search q circulant matrices; the concatenation of these circulant matrices with circulant identity matrix generates quasi-cyclic codes with high various code rate q/(q+1) (q an integer). This method searches circulant matrices in order to find the good quasi-cyclic code (QCC) having the largest minimum distance. A modified simulated annealing algorithm is used as an evaluator tool of the minimum distance of the obtained QCC codes. Based on this method we found 16 good quasi-cyclic codes with rates (1/2, 2/3 and 3/4), their estimated minimum distance reaches the lower bounds of codes considered to be the better linear block codes in Brouwer’s database.
  • 关键词:thesai; IJACSA; thesai.org; journal; IJACSA papers; Circulant matrix; quasi-cyclic Codes; Minimum Distance; Simulated Annealing; Linear Error Correcting codes
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