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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Bibliographic Details
Main Authors: Seneviratne, Padmapani, Ezerman, Martianus Frederic
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/155578
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Institution: Nanyang Technological University
Language: English
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Summary: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.