На 31 октомври 2023 г. (вторник) от 16:00 часа в зала 578 на ИМИ-БАН
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„Математически основи на информатиката”.

Доклад ще изнесе д-р Константин Воробьов (ИМИ – БАН).

Абстракт. In this work, we consider the problem of determining the exact value of $A_2(n, {d, d+2})$ defined as the maximal cardinality of a binary code of length $n$ with two possible distances $d$ and $d+2$. We prove that for fixed even $d$ and $n$ big enough, an optimal code must be a constant-weight code of weight $d/2+1$ with possibly no more than one additional codeword of a different weight.
We also find exact values $A_2(n, {4, 6})$ and $A_2(n, {6, 8})$ starting from some $n$.

This is a joint work with Ivan Landjev.