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Z_(2~k)上二次剩余码的自同构群

The Automorphism Group of Quadratic Residue Codes Over Z_(2~κ)
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摘要 本文根据Z2^k上二次剩余码的性质,给出了其扩展码自同构群的一个重要子群,这对于Z2^k上二次剩余码的译码算法的设计具有重要意义. In this paper, by using the properties of the quadratic residue (QR) codes over Z2^k, we get an important subgroup of the automorphism group of extended QR codes over Z2^k, which will be useful for the design and analysis of decoding algorithm.
出处 《应用数学学报》 CSCD 北大核心 2014年第6期1093-1105,共13页 Acta Mathematicae Applicatae Sinica
基金 辽宁省教育厅高校科研项目(L2010234) 海军大连舰艇学院科研发展基金资助项目
关键词 Z2^κ上的循环码 Z2^κ上的二次剩余码 自同构群 cyclic codes over Z2^k quadratic residue codes over Z2^k automorphism group
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参考文献9

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二级参考文献5

  • 1Calderbank A R, P V Kumar J R, Calderbank A R, Sloane N J A, Sole P. The Z4-1inearity of Kerdock, Preparata, Goethals, and Related Codes. IEEE Trans. Inform. Theory, 1994, 40:301-319
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  • 3Mei Hui Chiu. Z8-cyclic Codes and Quadratic Residue Codes. Advances in Applied Mathematics, 2000, 25:12-33
  • 4Tan Xiaoqing. Quadratic Residue Codes over Z16. Journal of Mathematical Research and Exposition, 2005, 25:739-748
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