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Open Access Research Article

Quantum synchronizable codes through generalized cyclotomy of order 2r over Z2n

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pp. 1–12Online FirstJuly 2026DOI: 10.47974/JIM-2382XML
Received:
01 Feb 2025
Published Online:
04 Jul 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2382
Pages:
1–12

Abstract

In this work, we introduce the construction of a generalized cyclotomic class of order 2r over Z2n, and the work further shows that the resulting codes are cyclic codes containing their dual, along with their augmented counterparts. In addition, the research provides a comprehensive analysis of two categories of quantum synchronization capabilities that can reach their maximum potential in specific circumstances. The error correction capacity of the proposed quantum synchronizable codes includes both bit errors and phase errors.

Keywords

Subject Classifications

94B0594B1594B50

References

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