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一类二元叠加码的构作及其d界

Constructions of a Class of Binary Superimposed Codes and Bound of Its Parameters d
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摘要 首先介绍了一种具有参数d,r的二元叠加(d,n,r)-码及偶特征正交空间上子空间的一些包含性质,然后利用这些性质及相关知识构作了二元叠加(d,n,r)-码并给出了其参数d的界. In this paper, the first we introduced a kind of binary superimposed （d,n,r）- code with parameters d, r and some properties of subspaces over orthogonal spaces of even characteristic, then constructed binary superimposed （d, n, r）-code from these properties and obtained bound of the parameters d.
作者 王少彧 于娜 邓超公
机构地区 邯郸学院数学系 张家口职业技术学院基础部
出处 《数学的实践与认识》 CSCD 北大核心 2014年第17期312-315,共4页 Mathematics in Practice and Theory
基金 张家口市新能源与信息化产业专项课题(12110019B)
关键词 二元叠加(d n r)-码 偶特征正交空间 界 binary superimposed （d, n, r）-code orthogonal spaces of even characteristic bound
分类号 O157.4-4 [理学—基础数学] G642 [文化科学—高等教育学]
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参考文献10

  • 1Kautz W H, Singleton R C. Nonrandom binary superimposed codes[J]. IEEE Trans, Inform. Theory, 1964, 10:363-377.
  • 2Dyachkov A G, Rykov V V. A survey of superimposed code theory[J]. Problems of Control Infor- mation Theory, 1983, 12(4):1-13.
  • 3Huang Ta- yuan , WENG Chih-wen, pooling Spaces and Nonadaptive pooling Designs[J], Discrete Mathematics, 2004,282: 163-169.
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二级参考文献20

  • 1Balding D J, Bruno W J, Knill E, Torney D C. A Comparative of Non-adaptive Pooling Design. Genetic Mapping and DNA Sequencing (Minneapolis, MN, 1994). New York: Springer, 1996:133 154.
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  • 10Ngo H Q, Du D Z. New constructions of non-adaptive and error-tolerance pooling designs. Discrete Mathematics, 2002, 243:161-170.

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数学的实践与认识
2014年 第17期

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