Quantum Codes Derived from Quasi-Twisted Codes of Index 2 with Hermitian Inner Product
Summary :
In this paper, we consider a wide family of λ-quasi-twisted (λ-QT) codes of index 2 and provide a bound on the minimum Hamming distance. Moreover, we give a sufficient condition for dual containing with respect to Hermitian inner product of these involved codes. As an application, some good stabilizer quantum codes over small finite fields F2 or F3 are obtained from the class of λ-QT codes.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E102-A No.10 pp.1411-1415
- Publication Date
- 2019/10/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E102.A.1411
- Type of Manuscript
- LETTER
- Category
- Information Theory
Authors
Jingjie LV
Air Force Engineering University
Ruihu LI
Air Force Engineering University
Qiang FU
Air Force Engineering University
Keyword
Latest Issue
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Jingjie LV, Ruihu LI, Qiang FU, "Quantum Codes Derived from Quasi-Twisted Codes of Index 2 with Hermitian Inner Product" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 10, pp. 1411-1415, October 2019, doi: 10.1587/transfun.E102.A.1411.
Abstract: In this paper, we consider a wide family of λ-quasi-twisted (λ-QT) codes of index 2 and provide a bound on the minimum Hamming distance. Moreover, we give a sufficient condition for dual containing with respect to Hermitian inner product of these involved codes. As an application, some good stabilizer quantum codes over small finite fields F2 or F3 are obtained from the class of λ-QT codes.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.1411/_p
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@ARTICLE{e102-a_10_1411,
author={Jingjie LV, Ruihu LI, Qiang FU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Quantum Codes Derived from Quasi-Twisted Codes of Index 2 with Hermitian Inner Product},
year={2019},
volume={E102-A},
number={10},
pages={1411-1415},
abstract={In this paper, we consider a wide family of λ-quasi-twisted (λ-QT) codes of index 2 and provide a bound on the minimum Hamming distance. Moreover, we give a sufficient condition for dual containing with respect to Hermitian inner product of these involved codes. As an application, some good stabilizer quantum codes over small finite fields F2 or F3 are obtained from the class of λ-QT codes.},
keywords={},
doi={10.1587/transfun.E102.A.1411},
ISSN={1745-1337},
month={October},}
Copy
TY - JOUR
TI - Quantum Codes Derived from Quasi-Twisted Codes of Index 2 with Hermitian Inner Product
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1411
EP - 1415
AU - Jingjie LV
AU - Ruihu LI
AU - Qiang FU
PY - 2019
DO - 10.1587/transfun.E102.A.1411
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2019
AB - In this paper, we consider a wide family of λ-quasi-twisted (λ-QT) codes of index 2 and provide a bound on the minimum Hamming distance. Moreover, we give a sufficient condition for dual containing with respect to Hermitian inner product of these involved codes. As an application, some good stabilizer quantum codes over small finite fields F2 or F3 are obtained from the class of λ-QT codes.
ER -
English
