New quantum codes from metacirculant graphs via self-dual additive F₄-codes

We use symplectic self-dual additive codes over 4 obtained from metacirculant graphs to construct, for the first time, [[ℓ,0,d]] qubit codes with parameters (ℓ,d)∈{(78,20),(90,21),(91,22),(93,21),(96,22)}. Secondary constructions applied to the qubit codes result in many new qubit codes that perfor...

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Main Authors: Seneviratne, Padmapani, Ezerman, Martianus Frederic
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/155578
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1555782023-02-28T19:45:34Z New quantum codes from metacirculant graphs via self-dual additive F₄-codes Seneviratne, Padmapani Ezerman, Martianus Frederic School of Physical and Mathematical Sciences Science::Mathematics::Applied mathematics::Information theory Quantum Codes Metacirculant Graph We use symplectic self-dual additive codes over 4 obtained from metacirculant graphs to construct, for the first time, [[ℓ,0,d]] qubit codes with parameters (ℓ,d)∈{(78,20),(90,21),(91,22),(93,21),(96,22)}. Secondary constructions applied to the qubit codes result in many new qubit codes that perform better than the previous best-known. Nanyang Technological University Accepted version Nanyang Technological University Grant Number 04INS000047C230GRT01 supports the re- search carried out by M. F. Ezerman. 2022-03-08T05:57:19Z 2022-03-08T05:57:19Z 2022 Journal Article Seneviratne, P. & Ezerman, M. F. (2022). New quantum codes from metacirculant graphs via self-dual additive F₄-codes. Advances in Mathematics of Communications. https://dx.doi.org/10.3934/amc.2021073 1930-5346 https://hdl.handle.net/10356/155578 10.3934/amc.2021073 en 4INS000047C230GRT01 Advances in Mathematics of Communications © 2022 American Institute of Mathematical Sciences (AIMS). All rights reserved. This paper was published in Advances in Mathematics of Communications and is made available with permission of American Institute of Mathematical Sciences (AIMS). application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics::Applied mathematics::Information theory
Quantum Codes
Metacirculant Graph
spellingShingle Science::Mathematics::Applied mathematics::Information theory
Quantum Codes
Metacirculant Graph
Seneviratne, Padmapani
Ezerman, Martianus Frederic
New quantum codes from metacirculant graphs via self-dual additive F₄-codes
description We use symplectic self-dual additive codes over 4 obtained from metacirculant graphs to construct, for the first time, [[ℓ,0,d]] qubit codes with parameters (ℓ,d)∈{(78,20),(90,21),(91,22),(93,21),(96,22)}. Secondary constructions applied to the qubit codes result in many new qubit codes that perform better than the previous best-known.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Seneviratne, Padmapani
Ezerman, Martianus Frederic
format Article
author Seneviratne, Padmapani
Ezerman, Martianus Frederic
author_sort Seneviratne, Padmapani
title New quantum codes from metacirculant graphs via self-dual additive F₄-codes
title_short New quantum codes from metacirculant graphs via self-dual additive F₄-codes
title_full New quantum codes from metacirculant graphs via self-dual additive F₄-codes
title_fullStr New quantum codes from metacirculant graphs via self-dual additive F₄-codes
title_full_unstemmed New quantum codes from metacirculant graphs via self-dual additive F₄-codes
title_sort new quantum codes from metacirculant graphs via self-dual additive f₄-codes
publishDate 2022
url https://hdl.handle.net/10356/155578
_version_ 1759852910398668800