Семинарът “Problems and Methods Related to Coding Theory“,

oрганизиран от

ИМИ – БАН, Секция „Математически основи на информатиката“,

Novosibirsk State University, Novosibirsk, Russia,

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

Ви кани на поредната си сбирка, на която

Prof. Faina Solov’eva,

Sobolev Institute of Mathematics

ще изнесе доклад на тема:

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.

Семинарът ще се проведе онлайн на 1 юни (вторник) 2021 г. от 14:00 часа.

Страница на семинара: http://www.math.bas.bg/moiuser/PMCT/

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