u-Constacyclic codes over $${mathbb {F}}_p+ u{mathbb {F}}_p$$Fp+ uFp and their applications of constr ucting new non-binary q uant um codes |
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Authors: | Jian Gao Yongkang Wang |
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Affiliation: | 1.School of Science,Shandong University of Technology,Zibo,People’s Republic of China |
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Abstract: | Structural properties of u-constacyclic codes over the ring ({mathbb {F}}_p+u{mathbb {F}}_p) are given, where p is an odd prime and (u^2=1). Under a special Gray map from ({mathbb {F}}_p+u{mathbb {F}}_p) to ({mathbb {F}}_p^2), some new non-binary quantum codes are obtained by this class of constacyclic codes. |
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