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

• Main Authors: Seneviratne, Padmapani, Ezerman, Martianus Frederic
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics::Applied mathematics::Information theory; Quantum Codes; Metacirculant Graph
• Online Access: https://hdl.handle.net/10356/155578
• Institution: Nanyang Technological University

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...