Z2-double cyclic codes
Borges, Joaquim · Fernández-Córdoba, Cristina · Ten-Valls, Roger
Original · EN
A binary linear code C is a Z₂-double cyclic code if the set of coordinates can be partitioned into two subsets such that any cyclic shift of the coordinates of both subsets leaves invariant the code. These codes can be identified as submodules of the Z₂[x]-module Z₂[x]/(xʳ-1)₂[x]/(xˢ-1). We determine the structure of Z₂-double cyclic codes giving the generator polynomials of these codes. The related polynomial representation of Z₂-double cyclic codes and its duals, and the relations between the polynomial generators of these codes are studied.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.