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QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING

JIANFA QIAN

National Key Laboratory of ISN, Xidian University, Xi'an 710071, P. R. China

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WENPING MA

National Key Laboratory of ISN, Xidian University, Xi'an 710071, P. R. China

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WANGMEI GUO

National Key Laboratory of ISN, Xidian University, Xi'an 710071, P. R. China

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https://doi.org/10.1142/S0219749909005560Cited by:72 (Source: Crossref)

Abstract

A new method to obtain self-orthogonal codes over finite field F₂ is presented. Based on this method, we provide a construction for quantum error-correcting codes starting from cyclic codes over finite ring R = F₂ + uF₂. As an example, we present infinite families of quantum error-correcting codes which are derived from cyclic codes over the ring R = F₂ + uF₂.

Keywords:

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