Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication

Topics

Quantum Error Correction Fault Tolerance Entanglement Theory Quantum Correlations

Near MDS and near quantum MDS codes via orthogonal arrays

arXiv
Authors: Shanqi Pang, Chaomeng Zhang, Mengqian Chen, Miaomiao Zhang

Year

2023

Paper ID

56220

Status

Preprint

Abstract Read

~2 min

Abstract Words

121

Citations

N/A

Abstract

Near MDS (NMDS) codes are closely related to interesting objects in finite geometry and have nice applications in combinatorics and cryptography. But there are many unsolved problems about construction of NMDS codes. In this paper, by using symmetrical orthogonal arrays (OAs), we construct a lot of NMDS, m-MDS and almost extremal NMDS codes. We establish a relation between asymmetrical OAs and quantum error correcting codes (QECCs) over mixed alphabets. Since quantum maximum distance separable (QMDS) codes over mixed alphabets with the dimension equal to one have not been found in all the literature so far, the definition of a near quantum maximum distance separable (NQMDS) code over mixed alphabets is proposed. By using asymmetrical OAs, we obtain many such codes.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • Near MDS (NMDS) codes are closely related to interesting objects in finite geometry and have nice applications in combinatorics and cryptography.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2308.00406 [2] arXiv https://arxiv.org/abs/2308.00406 [3] Publisher https://arxiv.org/abs/2308.00406

Local Citation Graph (Related-Paper Links)

Current Paper #56220

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.