Colloquium
DATE	2022-11-24　16:10-17:00
PLACE	數學系館 1F3174教室
SPEAKER	俞韋亘 教授（國立中央大學數學系）
TITLE	On the Size of Mmaximal Binary Codes with 2, 3, and 4 Distances
ABSTRACT	We address the maximum size of binary codes and binary constant weight codes with few distances. Previous works established a number of bounds for these quantities as well as the exact values for a range of small code lengths. As our main results, we determine the exact size of maximal binary codes with two distances for all lengths n at least 6 as well as the exact size of maximal binary constant weight codes with 2,3, and 4 distances for several values of the weight and for all but small lengths. The talk is based on the joint work with Barg, Glazyrin, Kao, Lai and Tseng on arXiv:2210.07496.