The seminar on

Problems and Methods Related to Coding Theory

organized by:

Department of Mathematical Foundations of Informatics, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria

Novosibirsk State University, Novosibirsk, Russia

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

is inviting you to its next meeting.

Prof. Faina Solov’eva,

Sobolev Institute of Mathematics

will deliver a talk on:

Minimum weight bases for some classes of linear codes

Abstract

We discuss explicit minimum weight bases and minimum weight bases problems for the following codes:

•      the extended binary primitive double-error correcting BCH code of length n = 2^m;
•      the extended cyclic binary code C_1,5 of length n = 2^m, m ≥ 5;
•      extended cyclic binary codes C_1,2i+1 of lengths n = 2^m, (i,m) = 1 for 3<=i<=(m-5)/4-o(m);
•      the extended BCH code C_1,2 over GF(p) of length p^m-1.

We also consider the existence of minimum weight bases for Z₄-linear Reed-Muller codes.

Website of the seminar: http://www.math.bas.bg/moiuser/PMCT/

The seminar will be held on June 1, 2021 (Tuesday), at 2:00 p.m. (UTC + 3)

Join Zoom Meeting

https://us02web.zoom.us/j/84772609629?pwd=Y0RKYlJXaFVqWThNUHVERlVaT3BGZz09

Zoom ID: 851 9342 8253
Passcode: 970063