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).
机构:
Kalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Krishnankoil 626126, Tamil Nadu, IndiaKalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Krishnankoil 626126, Tamil Nadu, India
Arumugam, S.
Baca, Martin
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Tech Univ, Dept Appl Math & Informat, Kosice 04200, SlovakiaKalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Krishnankoil 626126, Tamil Nadu, India
Baca, Martin
Froncek, Dalibor
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Univ Minnesota, Dept Math & Stat, Duluth, MN 55812 USAKalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Krishnankoil 626126, Tamil Nadu, India
Froncek, Dalibor
Ryan, Joe
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Univ Newcastle, Sch Elect Engn & Comp Sci, Graph Theory & Applicat GTA Res Grp, Callaghan, NSW 2308, AustraliaKalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Krishnankoil 626126, Tamil Nadu, India
Ryan, Joe
Sugeng, Kiki A.
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Univ Indonesia, Fac Math & Nat Sci, Dept Math, Depok 16424, IndonesiaKalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Krishnankoil 626126, Tamil Nadu, India