На 31 октомври 2023 г. (вторник) от 16:00 часа в зала 578 на ИМИ-БАН
ще се проведе заседание на семинара на секция
„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.