1. Quantum codes from Hermitian dual-containing constacyclic codes over Fq2+vFq2.
- Author
-
Wang, Yu, Kai, Xiaoshan, Sun, Zhonghua, and Zhu, Shixin
- Subjects
LINEAR codes ,FINITE rings - Abstract
Let R be the finite non-chain ring F q 2 + v F q 2 , where v 2 = v and q is an odd prime power. In this paper, we study quantum codes over F q from constacyclic codes over R . We define a class of Gray maps, which preserves the Hermitian dual-containing property of linear codes from R to F q 2 . We study α (1 - 2 v) -constacyclic codes over R , and show that the images of α (1 - 2 v) -constacyclic codes over R under the special Gray map are α 2 -constacyclic codes over F q 2 . Some new non-binary quantum codes are obtained via the Gray map and the Hermitian construction from Hermitian dual-containing α (1 - 2 v) -constacyclic codes over R . [ABSTRACT FROM AUTHOR]
- Published
- 2021
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