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: 28 Sep 2018 *