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.
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页数：13
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