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

被引：0

作者：

Kircali, Mustafa ^{[1
]}

Ozbudak, Ferruh ^{[1
,2
]}

机构：

[1] Middle East Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkiye

[2] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkiye

来源：

QUANTUM INFORMATION PROCESSING | 2024年 / 23卷 / 12期

关键词：

Quantum MDS codes; Truncated code; Reed-Solomon code; Hermitian self-orthogonal code; CONSTACYCLIC CODES; CONSTRUCTION;

D O I：

10.1007/s11128-024-04598-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：13