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Computer Science > Information Theory

arXiv:2210.04487 (cs)
[Submitted on 10 Oct 2022]

Title:Quasi-cyclic Hermitian construction of binary quantum codes

Authors:Liangdong Lu, Chaofeng Guan, Ruihu Li, Yuezhen Ren
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Abstract:In this paper, we propose a sufficient condition for a family of 2-generator self-orthogonal quasi-cyclic codes with respect to Hermitian inner product. Supported in the Hermitian construction, we show algebraic constructions of good quantum codes. 30 new binary quantum codes with good parameters improving the best-known lower bounds on minimum distance in Grassl's code tables \cite{Grassl:codetables} are constructed.
Subjects: Information Theory (cs.IT)
Cite as: arXiv:2210.04487 [cs.IT]
  (or arXiv:2210.04487v1 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2210.04487

Submission history

From: Liangdong Lu [view email]
[v1] Mon, 10 Oct 2022 08:30:14 UTC (382 KB)
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