The next meeting of the seminar of

Mathematical Foundations of Informatics

organized by
the Department of Mathematical Foundations of Informatics, IMI – BAS,
Faculty of Mathematics and Informatics, Veliko Tranovo University,

will be held on January 27, 2022, at 2 pm (UTC+2) in Zoom.

A talk will be delivered by

Konstantin Vorobyov,

post-doctoral students at the MOI Department of IMI – BAS,

on:

Binary codes with two distances 

Резюме: In this work, we prove two conjectures from a paper on two distance codes by Boyvalenkov, Delchev, Zinoviev and Zinoviev (Discrete Math., 344(5), 112318, https://doi.org/10.1016/j. disc.2021.112318). We also prove several new upper and lower bounds on A_2(n,d1,d2) (i.e. the maximal cardinality of a binary code of length n with distances d1 < d2) and provide new constructions for binary codes with two distances.

This is a joint work with Ivan Landjev and Assia Rousseva.

Join Zoom Meeting:
https://us02web.zoom.us/j/84134515819?pwd=SDY4OXVBcHNQSUhxQVR0Y3BBbnZ4UT09