Fatih Üniversitesi Kod, Şifreleme ve Kombinatorik Seminerleri
Codes over Group Rings
Tevfik Bilgin
Fatih Üniversitesi, Türkiye
In this talk, we will give codes over group rings of non-abelian groups over
$\mathbb{Z}_{n}$, where $n$ and the order of group are relatively prime. We
first focus on the decompositions of group rings and codes obtained from
these decompositions. Later on, we use extended representations of group
rings to get more specific subrings and ideals. We will give some examples
for groups $S_{3}$, $D_{4}$ and $A_{4}$.
