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| n阶仿射平面上d-disjunct矩阵的讨论 | |
| 引用本文： | 赵燕冰,钱国栋,张宝环. n阶仿射平面上d-disjunct矩阵的讨论[J]. 数学的实践与认识, 2009, 39(14) |
| 作者姓名： | 赵燕冰 钱国栋 张宝环 |
| 作者单位： | 1. 张家口职业技术学院基础部,河北,张家口,075051 2. 河北北方学院,计算机科学系,河北,张家口,075000 3. 廊坊师范学院,数信学院,河北,廊坊,065000 |
| 基金项目： | 河北省自然科学基金，张家口市科学研究项目 |
| 摘 要： | 分组测试的NGT算法在许多领域有着广泛的应用,它的数学模型是d-disjunct矩阵.近年来,人们借助于复形理论、图理论、空间理论和容错估算等来研究它.介绍了分组测试和仿射平面的基本知识,在n阶仿射平面上构作了d-disjunct矩阵,证明了它的一些性质,与n阶射影平面上的d-disjunct矩阵作了比较. |
| 关 键 词： | d-disjunct矩阵 (d,e)-disjunct矩阵 Hamming距离 n阶仿射平面 检错 纠错 |
The Discussion of d-disjunct Matrix on an Affine Plane with n Order |
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| ZHAO Yan-bing,QIAN Guo-dong,ZHANG Bao-huan. The Discussion of d-disjunct Matrix on an Affine Plane with n Order[J]. Mathematics in Practice and Theory, 2009, 39(14) | |
| Authors: | ZHAO Yan-bing QIAN Guo-dong ZHANG Bao-huan |
| Abstract: | A non-adaptive group testing(NGT) algorithm of combinatorial group testing is widely used in many areas,and its mathematical model is d-disjunct matrix.Recently,it is studied in complexity theory,graph theory and error-tolerant computing,i.e..Introduced the preliminary knowledge on group testing and affine plane,then constructed a d-disjunct matrix on the affine plane with n order and proved some of its properties,and compared it with the d-disjunct matrix on the projective plane with n order. |
| Keywords: | d-disjunct matrix (d,e)-disjunct matrix Hamming distance the affine plane with n order error-detecting error-correcting |
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