New q-ary quantum MDS codes of length strictly larger than q+1

Date

2024-12-01

Author

Kırcalı, Mustafa
Özbudak, Ferruh

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

29
views

0
downloads

Quantum information and quantum computation have become a hot topic in recent decades. Quantum error-correcting codes are useful and have many applications in quantum computations and quantum communications. We construct a new class of quantum Maximum Distance Separable (MDS) codes. Our construction is based on a recent result of Ball and Vilar (IEEE Trans Inf Theory 68:3796–3805, 2022). We study a large class of explicit polynomials and obtain their required arithmetical properties which imply construction of new q-ary quantum MDS codes of length strictly larger than q+1, when q is odd.

Subject Keywords

Hermitian self-orthogonal code, Quantum MDS codes, Reed-Solomon code, Truncated code

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85210358358&origin=inward
https://hdl.handle.net/11511/112742

Journal

Quantum Information Processing

DOI

https://doi.org/10.1007/s11128-024-04598-1

Collections

Department of Mathematics, Article

Citation Formats

M. Kırcalı and F. Özbudak, “New q-ary quantum MDS codes of length strictly larger than q+1,” Quantum Information Processing, vol. 23, no. 12, pp. 0–0, 2024, Accessed: 00, 2024. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85210358358&origin=inward.