New quantum codes constructed from some self-dual additive F4-codes

Masaaki Harada

doi:10.1016/j.ipl.2018.05.008

New quantum codes constructed from some self-dual additive F₄-codes

Masaaki Harada

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

For (n,d)=(66,17),(78,19) and (94,21), we construct quantum [[n,0,d]] codes which improve the previously known lower bounds on the largest minimum weights among quantum codes with these parameters. These codes are constructed from self-dual additive F₄-codes based on pairs of circulant matrices.

Original language	English
Pages (from-to)	35-38
Number of pages	4
Journal	Information Processing Letters
Volume	138
DOIs	https://doi.org/10.1016/j.ipl.2018.05.008
Publication status	Published - 2018 Oct

Keywords

Combinatorial problem
Minimum weight
Quantum code
Self-dual additive F-code

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

Access to Document

10.1016/j.ipl.2018.05.008

Fingerprint Dive into the research topics of 'New quantum codes constructed from some self-dual additive F<sub>4</sub>-codes'. Together they form a unique fingerprint.

Cite this

@article{610094fecc844ea5864ac4b0a36eb943,

title = "New quantum codes constructed from some self-dual additive F4-codes",

abstract = "For (n,d)=(66,17),(78,19) and (94,21), we construct quantum [[n,0,d]] codes which improve the previously known lower bounds on the largest minimum weights among quantum codes with these parameters. These codes are constructed from self-dual additive F4-codes based on pairs of circulant matrices.",

keywords = "Combinatorial problem, Minimum weight, Quantum code, Self-dual additive F-code",

author = "Masaaki Harada",

note = "Funding Information: This work was supported by JSPS KAKENHI Grant Number 15H03633 . ",

year = "2018",

month = oct,

doi = "10.1016/j.ipl.2018.05.008",

language = "English",

volume = "138",

pages = "35--38",

journal = "Information Processing Letters",

issn = "0020-0190",

publisher = "Elsevier",

}

TY - JOUR

T1 - New quantum codes constructed from some self-dual additive F4-codes

AU - Harada, Masaaki

N1 - Funding Information: This work was supported by JSPS KAKENHI Grant Number 15H03633 .

PY - 2018/10

Y1 - 2018/10

N2 - For (n,d)=(66,17),(78,19) and (94,21), we construct quantum [[n,0,d]] codes which improve the previously known lower bounds on the largest minimum weights among quantum codes with these parameters. These codes are constructed from self-dual additive F4-codes based on pairs of circulant matrices.

AB - For (n,d)=(66,17),(78,19) and (94,21), we construct quantum [[n,0,d]] codes which improve the previously known lower bounds on the largest minimum weights among quantum codes with these parameters. These codes are constructed from self-dual additive F4-codes based on pairs of circulant matrices.

KW - Combinatorial problem

KW - Minimum weight

KW - Quantum code

KW - Self-dual additive F-code

UR - http://www.scopus.com/inward/record.url?scp=85048525268&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85048525268&partnerID=8YFLogxK

U2 - 10.1016/j.ipl.2018.05.008

DO - 10.1016/j.ipl.2018.05.008

M3 - Article

AN - SCOPUS:85048525268

VL - 138

SP - 35

EP - 38

JO - Information Processing Letters

JF - Information Processing Letters

SN - 0020-0190

ER -