CSS codes and QSCs from Whiteman’s Generalized Cyclotomy of order four
Varsha Tiwari, Pramod Kumar Kewat · 2023
In this paper, Calderbank-Shor-Steane (CSS) quantum codes and Quantum synchronizable codes (QSCs) are obtained from cyclic codes, which are constructed using Whiteman’s generalized cyclotomy of order four. These CSS and QSCs have good error-correcting capability against phase and bit errors because many of the cyclic codes used to design them are optimal or nearly optimal. Moreover, QSCs obtained in this article achieve maximum tolerance against misalignment.