Improved Constructions of Nested Code Pairs
@article{Galindo2018ImprovedCO, title={Improved Constructions of Nested Code Pairs}, author={C. Galindo and O. Geil and F. Hernando and D. Ruano}, journal={IEEE Transactions on Information Theory}, year={2018}, volume={64}, pages={2444-2459} }
Two new constructions of linear code pairs <inline-formula> <tex-math notation="LaTeX">$C_{2} \subset C_{1}$ </tex-math></inline-formula> are given for which the codimension and the relative minimum distances <inline-formula> <tex-math notation="LaTeX">$M_{1}(C_{1},C_{2})$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$M_{1}(C_{\vphantom {R_{j}}2}^\perp,C_{1}^\perp)$ </tex-math></inline-formula> are good. By this, we mean that for any two out of the three… CONTINUE READING
Figures, Tables, and Topics from this paper
13 Citations
New Binary and Ternary LCD Codes
- Computer Science, Mathematics
- IEEE Transactions on Information Theory
- 2019
- 13
- PDF
Classical and Quantum Evaluation Codes at the Trace Roots
- Mathematics, Computer Science
- IEEE Transactions on Information Theory
- 2019
- 5
- PDF
On nested code pairs from the Hermitian curve
- Mathematics, Computer Science
- Finite Fields Their Appl.
- 2020
- 1
- PDF
On Steane-enlargement of quantum codes from Cartesian product point sets
- Mathematics, Computer Science
- Quantum Inf. Process.
- 2020
- 1
- PDF
Steane-enlargement of quantum codes from the Hermitian function field
- Mathematics, Computer Science
- Des. Codes Cryptogr.
- 2020
- 1
- PDF
Asymmetric Quantum Concatenated and Tensor Product Codes with Large Z-Distances
- Physics, Computer Science
- ArXiv
- 2020
- PDF
Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
- Computer Science, Mathematics
- IEEE Access
- 2020
- 2
- PDF
References
SHOWING 1-10 OF 72 REFERENCES
Simple quantum error-correcting codes.
- Physics, Medicine
- Physical review. A, Atomic, molecular, and optical physics
- 1996
- 329
- PDF
Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes
- Mathematics, Computer Science
- Des. Codes Cryptogr.
- 2015
- 7
- PDF
Codes for simultaneous transmission of quantum and classical information
- Mathematics, Computer Science
- 2017 IEEE International Symposium on Information Theory (ISIT)
- 2017
- 15
- PDF
Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement
- Mathematics, Computer Science
- Quantum Inf. Process.
- 2015
- 25
- PDF
Asymmetric quantum Reed-Solomon and generalized Reed-Solomon codes
- Computer Science, Physics
- Quantum Inf. Process.
- 2012
- 28
CSS-Like Constructions of Asymmetric Quantum Codes
- Mathematics, Computer Science
- IEEE Transactions on Information Theory
- 2013
- 36
- PDF