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Group codes are special types of linear codes that carry more algebraic structure. They can be seen as ideals of group algebras and because of this, representation theoretic techniques help us to understand these codes better. When the group algebra is semisimple, any group code is a direct sum of minimal ones.

In this talk, first group codes will be introduced together with different types of examples. Then an equivalence relation among the minimal codes will be introduced and open problems concerning this notion will be stated. Afterwards, recent contributions to the solution of these open problems will be given. This is a joint work with Fatma Altunbulak Aksu.