Title: Quantum error-correcting codes: the unit design strategy

Authors: Ted Hurley; Donny Hurley; Barry Hurley

Addresses: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, Ireland ' Department of Computing and Electronic Engineering, Institute of Technology Sligo, Ireland ' Friars Hill, Galway, Ireland

Abstract: A series of maximum distance quantum error-correcting codes are developed and analysed. For a given rate and given error-correction capability, quantum error-correcting codes with these specifications are constructed. The codes are explicit with efficient decoding algorithms. For a given field maximum length quantum codes are constructed.

Keywords: quantum code; maximum distance separable; MDS.

DOI: 10.1504/IJICOT.2018.095018

International Journal of Information and Coding Theory, 2018 Vol.5 No.2, pp.169 - 182

Received: 26 Jun 2018
Accepted: 17 Jul 2018

Published online: 24 Sep 2018 *

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