Automorphism groups of one-point codes from the curves yq + y = xqr+1

Shoichi Kondo; Tomokazu Katagiri; Takao Ogihara

doi:10.1109/18.945272

Automorphism groups of one-point codes from the curves y^q + y = x^qr+1

Shoichi Kondo^*, Tomokazu Katagiri, Takao Ogihara

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

The automorphism groups are determined for the one-point codes C_m on the curves over F_q2r defined by y^q + y = x^qr+1, where r is an odd number. This generalizes Xing's theorem, and extends a results of Wesemeyer to the case of the above curve.

Original language	English
Pages (from-to)	2573-2579
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	47
Issue number	6
DOIs	https://doi.org/10.1109/18.945272
Publication status	Published - 2001 Sept

Keywords

Automorphism group of a code
Function field of a curve
Geometric Goppa codes
One-point codes

ASJC Scopus subject areas

Electrical and Electronic Engineering
Information Systems

Access to Document

10.1109/18.945272

Cite this

@article{13142762204047bbb709b1e91abf154d,

title = "Automorphism groups of one-point codes from the curves yq + y = xqr+1 ",

abstract = "The automorphism groups are determined for the one-point codes Cm on the curves over Fq2r defined by yq + y = xqr+1, where r is an odd number. This generalizes Xing's theorem, and extends a results of Wesemeyer to the case of the above curve.",

keywords = "Automorphism group of a code, Function field of a curve, Geometric Goppa codes, One-point codes",

author = "Shoichi Kondo and Tomokazu Katagiri and Takao Ogihara",

year = "2001",

month = sep,

doi = "10.1109/18.945272",

language = "English",

volume = "47",

pages = "2573--2579",

journal = "IRE Professional Group on Information Theory",

issn = "0018-9448",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "6",

}

TY - JOUR

T1 - Automorphism groups of one-point codes from the curves yq + y = xqr+1

AU - Kondo, Shoichi

AU - Katagiri, Tomokazu

AU - Ogihara, Takao

PY - 2001/9

Y1 - 2001/9

N2 - The automorphism groups are determined for the one-point codes Cm on the curves over Fq2r defined by yq + y = xqr+1, where r is an odd number. This generalizes Xing's theorem, and extends a results of Wesemeyer to the case of the above curve.

AB - The automorphism groups are determined for the one-point codes Cm on the curves over Fq2r defined by yq + y = xqr+1, where r is an odd number. This generalizes Xing's theorem, and extends a results of Wesemeyer to the case of the above curve.

KW - Automorphism group of a code

KW - Function field of a curve

KW - Geometric Goppa codes

KW - One-point codes

UR - http://www.scopus.com/inward/record.url?scp=0035441868&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035441868&partnerID=8YFLogxK

U2 - 10.1109/18.945272

DO - 10.1109/18.945272

M3 - Article

AN - SCOPUS:0035441868

SN - 0018-9448

VL - 47

SP - 2573

EP - 2579

JO - IRE Professional Group on Information Theory

JF - IRE Professional Group on Information Theory

IS - 6

ER -