On some open problems on maximal curves

被引：5
|
作者：
Fanali, Stefania [1 ]
Giulietti, Massimo [1 ]
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2010年 / 56卷 / 2-3期
关键词：
Maximal curve; Order sequence; Frobenius dimension; Weierstrass semigroup; FINITE-FIELDS; GENUS;
D O I：
10.1007/s10623-010-9389-5
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we solve three open problems on maximal curves with Frobenius dimension 3. In particular, we prove the existence of a maximal curve with order sequence (0, 1, 3, q).
引用
收藏
页码：131 / 139
页数：9
相关论文
共 50 条
  • [1] On some open problems on maximal curves
    Stefania Fanali
    Massimo Giulietti
    Designs, Codes and Cryptography, 2010, 56 : 131 - 139
  • [2] CODES DEFINED FROM SOME MAXIMAL CURVES
    CARRAL, M
    ROTILLON, D
    LY, AT
    JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 67 (03) : 247 - 257
  • [3] Some Results on Maximal Open Sets
    Roohi, M.
    Delavar, M. Rostamian
    Mohammadzadeh, S. A.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (02): : 59 - 66
  • [4] SOME PROBLEMS CONCERNING CURVES
    LELEK, A
    COLLOQUIUM MATHEMATICUM, 1971, 23 (01) : 93 - &
  • [5] ON FREE CURVES AND RELATED OPEN PROBLEMS
    Dimca, Alexandru
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2024, 69 (02): : 129 - 150
  • [6] Some open problems
    Assani, I.
    Ergodic Theory and Related Fields, 2007, 430 : 135 - 145
  • [7] SOME OPEN PROBLEMS
    SEGUR, H
    PHYSICA D, 1986, 18 (1-3): : 1 - 12
  • [8] Some open problems
    Agrachev, Andrei A.
    GEOMETRIC CONTROL THEORY AND SUB-RIEMANNIAN GEOMETRY, 2014, 4 : 1 - 13
  • [9] Some open problems
    Arnoux, P
    Berthé, V
    SUBSTITUTIONS IN DYNAMICS, ARITHMETICS AND COMBINATORICS, 2002, 1794 : 363 - 374
  • [10] On Maximal class index curves - On Maximal index curves
    Nagy, JV
    MATHEMATISCHE ANNALEN, 1923, 89 : 32 - 75
12345