Journal Article

·2015

Quantum codes from cyclic codes over a class of nonchain rings

Mustafa Sarı YTU , İrfan Şiap YTU

Abstract

Lately, quantum error correcting codes have been considered as the Gray images of some special codes over various rings. In this study, we investigate the structure of the cyclic codes of arbitrary length over the finite nonchain ring R p = F p +vF p +···+v p-1 F p where v p = v and obtain quantum error correcting codes over F p by using the Gray map defined in the work of Bayram and Siap (2014).

Keywords

Class (philosophy) Algorithm Computer science Combinatorics Discrete mathematics Artificial intelligence Mathematics

Subject Areas

Quantum Computing Algorithms and Architecture ·Artificial Intelligence ·Physical Sciences
Quantum-Dot Cellular Automata ·Computational Theory and Mathematics ·Physical Sciences
Coding theory and cryptography ·Artificial Intelligence ·Physical Sciences

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