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Binary Images of Z2Z4-Additive Cyclic Codes (1707.03214v1)
Published 11 Jul 2017 in cs.IT and math.IT
Abstract: A Z2Z4-additive code C is called cyclic if the set of coordinates can be partitioned into two subsets, the set of Z_2 and the set of Z_4 coordinates, such that any cyclic shift of the coordinates of both subsets leaves the code invariant. We study the binary images of Z2Z4-additive cyclic codes. We determine all Z2Z4-additive cyclic codes with odd beta whose Gray images are linear binary codes.