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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20230124T150000
DTEND;TZID=Europe/Sofia:20230124T163000
DTSTAMP:20260407T101651
CREATED:20230120T214839Z
LAST-MODIFIED:20230120T214839Z
UID:13707-1674572400-1674577800@math.bas.bg
SUMMARY:Съвместен семинар на МЦМН и секция МОИ
DESCRIPTION:Във вторник от 15:00 часа в зала 403 ще състои съвместна сбирка на семинарите на\nМЦМН и секция МОИ.\nДоклад на тема:\nЛинейни и циклични кодове над пръстени\nще изнесе д-р Мариам Бажалан\, която започва постдокторантура в ИМИ-БАН по програма ПИКОМ.\n\n\nAbstract: The study of codes over the rings (ring-linear codes) attracted great interest after the work of Calderbank\, Hammons\, Kumar\, Sloane\, and Sole in the early 1990s. In this seminar\, the basic theory of linear codes over finite commutative rings will be presented including the importance of codes over rings\, various kinds of rings for ring-linear coding theory\, the weight functions on finite rings\, MacWilliams equivalence theorem and the connection between these codes and codes over fields via the Gray maps. Moreover\, the cyclic codes over finite commutative rings will be considered. Finally\, some well-known generalizations of cyclic codes such as negacyclic\, quasi-cyclic\, polycyclic\, multivariable\, polynomial and Abelian codes will be introduced.
URL:https://math.bas.bg/event/%d1%81%d1%8a%d0%b2%d0%bc%d0%b5%d1%81%d1%82%d0%b5%d0%bd-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-%d0%b8-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%bc%d0%be%d0%b8/
LOCATION:Семинар по Приложна математика
CATEGORIES:Работен семинар
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