On the Automorphism Group of Generalized Hermitian Codes

被引：0

作者：

Castellanos, Alonso Sepulveda ^{[1
]}

Tizziotti, Guilherme Chaud ^{[1
]}

机构：

[1] Univ Fed Uberlandia, Fac Matemat, BR-38408100 Uberlandia, MG, Brazil

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 10期

关键词：

Automorphism group; one-point AG codes; GEOMETRIC GOPPA CODES; ALGEBRAIC-CURVES; POINT;

D O I：

10.1109/TIT.2013.2271034

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We determine the full automorphism group of the Generalized Hermitian curve, denoted by GH, which generalizes the Hermitian curve. The automorphism group of a code is important in Coding Theory, and in this way, we determine completely the automorphism group of the one-point AG codes over the GH curve.

引用

页码：6642 / 6645

页数：4

共 50 条

[41] ALMOST EVEN-CLIFFORD HERMITIAN MANIFOLDS WITH A LARGE AUTOMORPHISM GROUP
Arizmendi, Gerardo
Herrera, Rafael
Santana, Noemi
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (09) : 4009 - 4020
[42] THE AUTOMORPHISM GROUP OF DOUBLE-ERROR-CORRECTING BCH CODES
BERGER, TP
IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (02) : 538 - 542
[43] Constructing self-dual codes using an automorphism group
Yorgova, Radinka
PROCEEDINGS OF 2006 IEEE INFORMATION THEORY WORKSHOP, 2006, : 11 - +
[44] Generalized Hermitian codes over GF (2r)
Bulygin, S. V.
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (10) : 4664 - 4669
[45] Multi-Point Codes From Generalized Hermitian Curves
Hu, Chuangqiang
Zhao, Chang-An
IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (05) : 2726 - 2736
[46] ON THE ZETA FUNCTION AND THE AUTOMORPHISM GROUP OF THE GENERALIZED SUZUKI CURVE
Borges, Herivelto
Coutinho, Mariana
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (03) : 1899 - 1917
[47] Smallest graphs with given generalized quaternion automorphism group
Graves, Christina
Graves, Stephen J.
Lauderdale, L. -K.
JOURNAL OF GRAPH THEORY, 2018, 87 (04) : 430 - 442
[48] A generalized quadrangle with an automorphism group acting regularly on the points
Yoshiara, Satoshi
EUROPEAN JOURNAL OF COMBINATORICS, 2007, 28 (02) : 653 - 664
[49] Automorphism groups of vector spaces with generalized group identities
Hai, Bui Xuan
Nam, Cao Minh
Bien, Mai Hoang
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 5948 - 5956
[50] On the automorphism group of generalized Baumslag-Solitar groups
Levitt, Gilbert
GEOMETRY & TOPOLOGY, 2007, 11 : 473 - 515

← 1 2 3 4 5 →