New quantum codes from metacirculant graphs via self-dual additive F₄-codes
We use symplectic self-dual additive codes over 𝔽4 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...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/155578 |
| _version_ | 1826109461740126208 |
|---|---|
| author | Seneviratne, Padmapani Ezerman, Martianus Frederic |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Seneviratne, Padmapani Ezerman, Martianus Frederic |
| author_sort | Seneviratne, Padmapani |
| collection | NTU |
| description | We use symplectic self-dual additive codes over 𝔽4 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. |
| first_indexed | 2024-10-01T02:18:37Z |
| format | Journal Article |
| id | ntu-10356/155578 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:18:37Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-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 𝔽4 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 |
| 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 |
| title | 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_short | 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 |
| topic | Science::Mathematics::Applied mathematics::Information theory Quantum Codes Metacirculant Graph |
| url | https://hdl.handle.net/10356/155578 |
| work_keys_str_mv | AT seneviratnepadmapani newquantumcodesfrommetacirculantgraphsviaselfdualadditivef4codes AT ezermanmartianusfrederic newquantumcodesfrommetacirculantgraphsviaselfdualadditivef4codes |