New Quantum Codes from Evaluation and Matrix-Product Codes
arXiv:1406.0650 · doi:10.1016/j.ffa.2015.07.003
Abstract
Stabilizer codes obtained via CSS code construction and Steane's enlargement of subfield-subcodes and matrix-product codes coming from generalized Reed-Muller, hyperbolic and affine variety codes are studied. Stabilizer codes with good quantum parameters are supplied, in particular, some binary codes of lengths 127 and 128 improve the parameters of the codes in http://www.codetables.de. Moreover, non-binary codes are presented either with parameters better than or equal to the quantum codes obtained from BCH codes by La Guardia or with lengths that can not be reached by them.
References in corpus (1)
Cited by in corpus (8)
- Stabilizer quantum codes from -affine variety codes and a new Steane-like enlargement
- On the distance of stabilizer quantum codes from -affine variety codes
- New binary and ternary LCD codes
- Improved constructions of nested code pairs
- Classical and Quantum Evaluation Codes at the Trace Roots
- On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
- About the generalized Hamming weights of matrix-product codes
- MDS, Hermitian Almost MDS, and Gilbert-Varshamov Quantum Codes from Generalized Monomial-Cartesian Codes