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- Title
New quantum codes from two linear codes.
- Authors
Liu, Xiusheng; Hu, Peng
- Abstract
A CSS quantum code is succinctly represented as a pair of linear codes (C 1 , C 2 ⊥) over finite fields F p e with C 2 ⊥ ⊂ C 1 , where p is a prime and e is a positive integer. In this paper, we present two criteria of the C 2 ⊥ s ⊂ C 1 , where C 2 ⊥ s denotes the s-Galois dual of C 2 and 0 ≤ s < e . Then, using the two criteria, we construct some new quantum codes and a class of new quantum maximum-distance-separable (quantum MDS) codes. In addition, our obtained quantum MDS codes have parameters better than the ones available in the literature.
- Subjects
LINEAR codes; FINITE fields; CIPHERS
- Publication
Quantum Information Processing, 2020, Vol 19, Issue 3, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-020-2575-0