[Turkmath:4921] Seminar on June 4, 2021 at 16:00 via Zoom

[Mehmet Akif Erdal]

Dear list members,

You are most cordially invited to the Yeditepe Mathematics Department 25th
Year Seminars organized by the Department of Mathematics. The details of
this week's talk are as follows (please note the unusual time):

Speaker: Fatma Altunbulak Aksu (Mimar Sinan Fine Arts University)

Title: Group codes: an application of group algebras to coding theory

Abstract: Berman and MacWilliams independently define group codes as ideals
in finite group algebras. Many linear codes can be viewed as group codes.
For example, cyclic codes can be considered as ideals in finite group
algebras of cyclic groups and Reed Muller codes over $\mathbb{F}_p$ can be
viewed as ideals in modular group algebra of an elementary abelian
$p$-group.  Group codes have richer algebraic structures than linear codes,
for that reason, considering codes as group codes have many advantages.
Algebraic tools in ring theory and character theory can be used to
understand codes via group codes. In this talk I will give a gentle
introduction  for group codes and state some problems and results in the
literature.  If time permits, I will state some recent contributions which
are joint work with İpek Tuvay.


Date: Friday, June 4, 2021
Time: 16:00
Zoom: Meeting ID: 889 3945 0567
Passcode: 7tpSeminar


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https://researchseminars.org/seminar/7tepemathseminars
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