奇特征正交空间上可检错Pooling设计的构作  

Constructions of Pooling Designs with Error-detecting in the Finite Orthogonal Space of Odd Characteristic

作　　者：赵燕冰[1] 刘志刚[1] 

机构地区：[1]张家口职业技术学院基础部,河北张家口075150

出　　处：《湖南理工学院学报（自然科学版）》2009年第3期16-18,共3页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：河北省自然科学基金(A2005000141);张家口市级开发项目(0701017B)

摘　　要：Pooling设计的数学模型是一个d-disjunct矩阵.利用奇特征正交空间中全迷向子空间构作了d-disjunct矩阵,并通过计算它的Hamming距离分析了它的检纠错能力,根据Kautz-Singleton定理对d的范围作了估算.The mathematical model of pooling designs is a d-disjunct matrix. The d-disjunct matrix is constructed by totally isotropic subspaces in finite orthogonal spaces of odd characteristic ,and its error-correcting and error-detecting capability is analyzed by calculating its Hamming distance. The range of d is estimated by Kautz-Singleton theorem.

关 键 词：奇特征正交空间 全迷向子空间 POOLING设计 D-DISJUNCT矩阵 HAMMING距离 检错 纠错 

分 类 号：O157.4[理学—数学] O151.21[理学—基础数学]