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特征为2的有限正交空间上全奇异子空间的Critical问题 被引量:3

Critical Problems of Totally Singular Subspaces in Finite Orthogonal Spaces of Characteristic 2
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摘要 利用特征为2的有限正交空间的性质及计数定理在特征为2的有限正交空间上研究了全奇异子空间的Critical问题,得到了相应的计数公式和Critical指数. With the properties and counting theorems of the finite orthogonal spaces of characteristic 2, it is studied the critical problems of totally singular subspaces in the finite orthogonal spaces of characteristic 2 and obtained the corresponding counting formulas and critical exponents.
出处 《数学进展》 CSCD 北大核心 2011年第3期339-344,共6页 Advances in Mathematics(China)
基金 海南省自然科学基金(No.109006) 河北省高等学校自然科学研究项目(No.Z2010185)
关键词 特征为2的有限正交空间 Critical指数 MATROID M6bius函数 orthogonal spaces of characteristic 2 Critical exponent fiat lattice matroid MSbius function
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同被引文献24

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  • 6Li Zeng-ti, Gao Suo-gang, Du Hong-jie, et al. Two constructions of new error-correcting poling design from orthogonal spaces over finite field of characteristic 2 [J]. Journal of combinatorial Op- timization, 2010, 20(4): 325-334.
  • 7Mahdi Cheraghchi. Noise-resilient group testing: Limitations and constructions [J]. Discrete Ap- plied Mathematic s, 2013, 161: 81-95.
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  • 9Kautz W H, Singleton R C. Nonrandom binary superimposed codes[J]. IEEE Trans. Inform. Theory, 1964, 10:363-377.
  • 10Du D Z, Hwang F K. Pooling Designs and Nonadaptive Group Testing[M]. Word Scientific, Singe- pore, 2006.

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