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Öğe Skew G-codes(World Scientific Publ Co Pte Ltd, 2023) Dougherty, S. T.; Sahinkaya, Serap; Yildiz, BahattinWe describe skew G-codes, which are codes that are the ideals in a skew group ring, where the ring is a finite commutative Frobenius ring and G is an arbitrary finite group. These codes generalize many of the well-known classes of codes such as cyclic, quasicyclic, constacyclic codes, skew cyclic, skew quasicyclic and skew constacyclic codes. Additionally, using the skew G-matrices, we can generalize almost all the known constructions in the literature for self-dual codes.
