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math.MG2022★ 2 cited
Extensions of polynomial plank covering theorems
Alexey Glazyrin, Roman Karasev, Alexandr Polyanskii
We prove a complex polynomial plank covering theorem for not necessarily homogeneous polynomials. As the consequence of this result, we extend the complex plank theorem of Ball to…
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…