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A Construction of Quantum Codes via A Class of Classical Polynomial Codes

2013/08/16 by Lingfei Jin, Chaoping Xing, Jin, Lingfei +1
Computer Science · #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.1308.3577

openalex publication_date 2013/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There have been various constructions of classical codes from polynomial valuations in literature \citeARC04, LNX01,LX04,XF04,XL00. In this paper, we present a construction of classical codes based on polynomial construction again. One of the features of this construction is that not only the classical codes arisen from the construction have good parameters, but also quantum codes with reasonably good parameters can be produced from these classical codes. In particular, some new quantum codes are constructed (see Examples \ref5.5 and \ref5.6).

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