Polynomial representation of additive cyclic codes and new quantum codes
Reza Dastbasteh,
Khalil Shivji
Abstract:We give a polynomial representation for additive cyclic codes over F p 2 . This representation will be applied to uniquely present each additive cyclic code by at most two generator polynomials. We determine the generator polynomials of all different additive cyclic codes. A minimum distance lower bound for additive cyclic codes will also be provided using linear cyclic codes over Fp. We classify all the symplectic self-dual, self-orthogonal, and nearly self-orthogonal additive cyclic codes over F p 2 . Finall… Show more
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