Tianyuan Mathematical Center
in Southwest China

New construction of error-correcting pooling designs from singular linear spaces over finite fields

报告题目：New construction of error-correcting pooling designs from singular linear spaces over finite fields

报告专家：高有教授（中国民航大学理学院）

报告时间：2023年5月9日（星期四）16:00-17:00

报告地点：四川大学数学学院西303学术报告厅

报告摘要：

The group testing problem is that we are asked to identify all the defects with the minimum number of tests when given a set of  items with at most defects. In this talk, as a generalization of Liu et al.'s construction in the paper (X. Liu and X. Gao, New error-correcting pooling designs with vector spaces over finite fields, Discrete Mathematics,338 (2015), 857–862), new pooling designs are constructed from singular linear spaces over finite fields. Then we make comparisons with Liu et al.'s construction in the aspects of parameters of pooling designs. By choosing appropriate parameters in our pooling designs, the performance of test efficiency in our pooling designs is better than that given by Liu et al. Finally, the analysis of parameters in our pooling designs is provided.

专家简介：

高有，中国民航大学教授、中国民航大学理学院院长、天津市教学名师、天津市重点学科数学学科负责人、天津市教学团队《代数类课程群教学团队》带头人、第五届天津市人民政府学位委员会学科评议组成员。长期从事本科生和研究生教学工作，主讲本科生课程《信息与编码》、《线性代数》，研究生课程《典型群的几何学》、《纠错码的代数理论》，曾获评天津市优秀教师。主要研究方向为“代数、编码与密码”，在Finite Fields and Their Applications、Linear Algebra and its Applications等国内外学术期刊发表论文60余篇。主持完成国家自然科学基金2项、国家自然科学重点基金子课题1项、天津市自然科学基金基金2项。

邀请人：洪绍方