报告时间：2026年8月14日（周五）下午 16:30-17:30

报告地点：苏州大学天赐庄校区精正楼306

报告人：向青 教授，南方科技大学

报告摘要：

The linear representation of a subset of a finite projective space is an incidence structure of affine points and lines determined by the subset. In this talk we use character theory to show that the rank of the incidence matrix has a direct geometric interpretation in terms of certain hyperplanes. We consider the LDPC codes defined by taking the incidence matrix and its transpose as parity-check matrices, and in the former case prove a conjecture of Vandendriessche that the code is generated by words of minimum weight called plane words. In the latter case we compute the minimum weight in some cases and provide a few constructions of codewords.

邀请人：季利均