Institute of Mathematics and Informatics

Семинар “Problems and Methods Related to Coding Theory“
2021-06-01 14:00 - 15:30 (Europe/Sofia) | Zoom
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 = 2m;
the extended cyclic binary code C1,5 of length n = 2m, m ≥ 5;
extended cyclic binary codes C1,2i+1 of lengths n = 2m, (i,m) = 1 for 3<=i<=(m-5)/4-o(m);
the extended BCH code C1,2 over GF(p) of length pm-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/
Join Zoom Meeting
https://us02web.zoom.us/j/84772609629?pwd=[REDACTED]
Zoom ID: 847 7260 9629
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