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math.CO2022★ 2 cited
On the size of maximal binary codes with 2, 3, and 4 distances
Alexander Barg, Alexey Glazyrin, Wei-Jiun Kao +3
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 e…
math.CO2022
Semidefinite programming bounds for few-distance sets in the Hamming and Johnson spaces
Alexander Barg, Ching-Yi Lai, Pin-Chieh Tseng +1
We study the maximum cardinality problem of a set of few distances in the Hamming and Johnson spaces. We formulate semidefinite programs for this problem and extend the 2011 works…