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

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
Externally published	Yes

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

Cite this

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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 . Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

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language = "English",

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KW - Minimum weight

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