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2-生成元拟循环码的构造 被引量：1

The construction of 2-generator quasi-cyclic codes
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摘要 通过常重循环码给出2-生成元QC码的构造方法并构造出有限域F3与F5上最优[64,4,42]3与[72,4,56]5,2-生成元QC码. In this paper,2-generator QC codes are studied,and some new and good linear codes are constructed,for example [64,4,42] and [72,4,56] 2-generator QC codes over the fields F3 and F5,from the equidistance cyclic codes over Fq.
作者 高健
机构地区 山东理工大学理学院
出处 《山东理工大学学报（自然科学版）》 CAS 2011年第3期92-96,共5页 Journal of Shandong University of Technology:Natural Science Edition
关键词 拟循环码 常重循环码 2-生成元拟循环码 quasi-cyclic codes equidistance cyclic codes 2-generator quasi-cyclic codes
分类号 TN911.32 [电子电信—通信与信息系统]
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参考文献10

  • 1Esmaeili M, Yari S. Generalized quasi-cyclic codes: structural properties and code construction[J] AAECC, 2009, 20 : 159- 172.
  • 2Esmaeili M, Gulliver T A, Secord N P, et al. A link between quasi-cyclic codes and convolutional codes[J]. IEEE Trans. In- form. Theory, 1998, 44.. 431-435.
  • 3Solomon G, van Tiborg H C A. A connection between block codes and convolutional codes[J]. SIAM J. Appl. Math. 2004, 37: 358-369.
  • 4Irfan Siap, Nilgun kulhan. The structure of generalized quasi cyclic codes[J]. Applied Mathematics E-Notes,2005,5 : 24-30.
  • 5Conan J, Seguin G. Structural properties and enumeration oI Quasi-Cyclic Codes[J], AAECC, 1993, 4: 25-39.
  • 6Cao Y. Structural properties and enumeration of 1-generator generalized quasi-cyclic codes[EB/OL]. 2010. http://springer. metapress, com/content/c18616183n704226.
  • 7Aydin N, Siap I, Ray-Chaudhuri D K. The Structure of 1-Gen- erator Quasi-Twisted Codes and New Linear Codes[J]. De- signs, Codes and Cryptography, 2001,24: 313-326.
  • 8MacWilliams F J. Sloane N J A. The theory of error-correcting codes[M]. North Holand, Amsterdam, 1977: 201-202.
  • 9Chen Z. On computer search for good quasi-cyclic Codes[J]. IEEE Syrup. on Information Theory, Norway, 1994, 36: 256- 269.
  • 10Chen E Z, Web database of binary QC codes[EB/OL]. 2010, http ://rimula. hkr. se/chen/research/codes/searchqc2 htm.

同被引文献4

  • 1AYDIN N, SIAP I. Ray-Chaudhuri D. The structure of 1-generator quasi-twisted codes and new linear codes [ J ]. Designs, Codes and Cryptography, 2001, 24:313-326.
  • 2DASKALOV R, METODIEVA E, HRISTOV P. New minimum distance bounds for linear codes over GF(9) [ J ]. Problems of Information Transaction, 2004, 40 : 13-24.
  • 3DASKALOV R, METODIEVA E, Hristov P. New minimum distance bounds for linear codes over GF (5) [ J ]. Discrete Mathematics, 2004, 275:97-110.
  • 4CHEN Eric Z. New Quasi-cyclic codes from simplex codes[J]. IEEE Trans Inform Theory, 2007, 53(3) :1193-1196.

引证文献1

山东理工大学学报（自然科学版）
2011年 第3期

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