New self-dual additive F-4-codes constructed from circulant graphs

Grassl, Markus; Harada, Masaaki

doi:10.1016/j.disc.2016.08.023

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New self-dual additive F-4-codes constructed from circulant graphs

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Grassl, Markus
Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Grassl, M., & Harada, M. (2017). New self-dual additive F-4-codes constructed from circulant graphs. DISCRETE MATHEMATICS, 340(3), 399-403. doi:10.1016/j.disc.2016.08.023.

Cite as: https://hdl.handle.net/21.11116/0000-0000-7E28-7

Abstract

In order to construct quantum [[n, 0, d]] codes for (n, d) = (56, 15), (57, 15), (58, 16), (63, 16), (67, 17), (70, 18), (71, 18), (79, 19), (83, 20), (87, 20), (89, 21), (95, 20), we construct self-dual additive F-4-codes of length n and minimum weight d from circulant graphs. The quantum codes with these parameters are constructed for the first time. (C) 2016 Elsevier B.V. All rights reserved.