题目：Weight distributions of Preparata codes over Z4  and the construction of 3-designs
报告人：沈灏 教授   上海交通大学数学系
报告时间：2014年6月9日（星期一）下午15:00
报告地点： 精正搂二楼学术报告厅
 
报告摘要:
  In this talk, we introduce our recent work on the construction of 3-designs from the Preparata codes over Z4. We will calculate the number of codewords with Hamming weight 7 of each type in the Preparata codes over Z4, then determine the parameter sets of 3-designs constructed from the supports of codewords of each type. Moreover, we will prove that the first two families of 3-designs are simple and the third family of  3-designs contain repeated blocks.