A class of quaternary linear codes improving known minimum distances

2014 ◽  
Vol 78 (3) ◽  
pp. 615-627 ◽  
Author(s):  
Martin Steinbach ◽  
Dirk Hachenberger
Keyword(s):  
Linear Codes ◽  
Minimum Distances ◽  
Quaternary Linear Codes

Quantum codes from nearly self-orthogonal quaternary linear codes

2014 ◽  
Vol 73 (2) ◽  
pp. 417-424 ◽  
Author(s):  
Petr Lisoněk ◽  
Vijaykumar Singh
Keyword(s):  
Linear Codes ◽  
Quantum Codes ◽  
Quaternary Linear Codes

scholarly journals Comparing decoding methods for quaternary linear codes

2016 ◽  
Vol 54 ◽  
pp. 283-288
Author(s):  
R.D. Barrolleta ◽  
J. Pujol ◽  
M. Villanueva
Keyword(s):  
Linear Codes ◽  
Quaternary Linear Codes

scholarly journals New Quaternary Linear Codes with Covering Radius 2

2000 ◽  
Vol 6 (2) ◽  
pp. 164-174 ◽  
Author(s):  
Alexander A. Davydov ◽  
Patric R.J. Östergård
Keyword(s):  
Linear Codes ◽  
Covering Radius ◽  
Quaternary Linear Codes

Improved Bounds for Quaternary Linear Codes of Dimension 6

1998 ◽  
Vol 9 (2) ◽  
pp. 153-159 ◽  
Author(s):  
T. Aaron Gulliver ◽  
Patric R.J. Östergård
Keyword(s):  
Linear Codes ◽  
Quaternary Linear Codes

New good quasi-cyclic ternary and quaternary linear codes

1997 ◽  
Vol 43 (5) ◽  
pp. 1647-1650 ◽  
Author(s):  
R.M. Daskalov ◽  
T.A. Gulliver
Keyword(s):  
Linear Codes ◽  
Quaternary Linear Codes ◽  
New Good

New entanglement-assisted quantum MDS codes

2021 ◽  
pp. 2150016
Author(s):  
Binbin Pang ◽  
Shixin Zhu ◽  
Liqi Wang
Keyword(s):  
Coding Theory ◽  
Minimum Distance ◽  
Linear Codes ◽  
Error Correcting Codes ◽  
Mds Codes ◽  
Maximum Distance Separable ◽  
Number Formula ◽  
Minimum Distances ◽  
Quantum Error ◽  
Quantum Mds Codes

Entanglement-assisted quantum error-correcting codes (EAQECCs) can be obtained from arbitrary classical linear codes based on the entanglement-assisted stabilizer formalism, which greatly promoted the development of quantum coding theory. In this paper, we construct several families of [Formula: see text]-ary entanglement-assisted quantum maximum-distance-separable (EAQMDS) codes of lengths [Formula: see text] with flexible parameters as to the minimum distance [Formula: see text] and the number [Formula: see text] of maximally entangled states. Most of the obtained EAQMDS codes have larger minimum distances than the codes available in the literature.

Sign in / Sign up

Export Citation Format

Share Document