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Group codes over fields are asymptotically good (1904.10885v2)
Published 24 Apr 2019 in cs.IT, math.CO, and math.IT
Abstract: Group codes are right or left ideals in a group algebra of a finite group over a finite field. Following ideas of Bazzi and Mitter on group codes over the binary field, we prove that group codes over finite fields of any characteristic are asymptotically good.