There is no [ 21, 5, 14 ] code over F5

Makoto Araya; Masaaki Harada

doi:10.1016/j.disc.2013.08.027

There is no [ 21, 5, 14 ] code over ^F5

Makoto Araya, Masaaki Harada

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

1 Citation (Scopus)

Abstract

In this note, we demonstrate that there is no [21,5,14] code over ^F5.

Original language	English
Pages (from-to)	2872-2874
Number of pages	3
Journal	Discrete Mathematics
Volume	313
Issue number	24
DOIs	https://doi.org/10.1016/j.disc.2013.08.027
Publication status	Published - 2013
Externally published	Yes

Keywords

Covering radius
Linear code
Optimal code

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2013.08.027

Cite this

@article{8a805ce98c4e49e69d86a0297d55a79d,

title = "There is no [ 21, 5, 14 ] code over F5",

abstract = "In this note, we demonstrate that there is no [21,5,14] code over F5.",

keywords = "Covering radius, Linear code, Optimal code",

author = "Makoto Araya and Masaaki Harada",

note = "Funding Information: In this work, the supercomputer of ACCMS, Kyoto University was partially used. The authors would like to thank Markus Grassl for useful comments [4] . This work was supported by JST PRESTO program and JSPS KAKENHI Grant Number 23340021 .",

year = "2013",

doi = "10.1016/j.disc.2013.08.027",

language = "English",

volume = "313",

pages = "2872--2874",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "24",

}

TY - JOUR

T1 - There is no [ 21, 5, 14 ] code over F5

AU - Araya, Makoto

AU - Harada, Masaaki

N1 - Funding Information: In this work, the supercomputer of ACCMS, Kyoto University was partially used. The authors would like to thank Markus Grassl for useful comments [4] . This work was supported by JST PRESTO program and JSPS KAKENHI Grant Number 23340021 .

PY - 2013

Y1 - 2013

N2 - In this note, we demonstrate that there is no [21,5,14] code over F5.

AB - In this note, we demonstrate that there is no [21,5,14] code over F5.

KW - Covering radius

KW - Linear code

KW - Optimal code

UR - http://www.scopus.com/inward/record.url?scp=84884878520&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884878520&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2013.08.027

DO - 10.1016/j.disc.2013.08.027

M3 - Article

AN - SCOPUS:84884878520

VL - 313

SP - 2872

EP - 2874

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 24

ER -