The strong primitive normal basis theorem

被引：37

作者：

Cohen, Stephen D. ^{[1
]}

Huczynska, Sophie ^{[2
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland

来源：

ACTA ARITHMETICA | 2010年 / 143卷 / 04期

关键词：

finite field extension; primitive element; normal basis; BASES; SUMS;

D O I：

10.4064/aa143-4-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：299 / 332

页数：34

共 10 条

[1] PRIMITIVE ROOTS IN A FINITE FIELD [J].

CARLITZ, L .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 73 (NOV) :373-382

[2] SOME PROBLEMS INVOLVING PRIMITIVE ROOTS IN A FINITE FIELD [J].

CARLITZ, L .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1952, 38 (04) :314-318

[3] Kloosterman sums and primitive elements in Galois fields [J].

Cohen, SD .

ACTA ARITHMETICA, 2000, 94 (02) :173-201

[4]

Cohen SD, 2000, PUBL MATH-DEBRECEN, V56, P293

[5] The primitive normal basis theorem without a computer [J].

Cohen, SD ;

Huczynska, S .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2003, 67 :41-56

[6]

DAVENPORT H, 1968, J LONDON MATH SOC, V43, P21

[7]

DAVENPORT H, 1969, J LONDON MATH SOC, V44, P378

[8]

LENSTRA HW, 1987, MATH COMPUT, V48, P217, DOI 10.1090/S0025-5718-1987-0866111-3

[9]

Lidl R., 1986, Introduction to Finite Fields and Their Applications

[10]

[田甜 Tian TIAN], 2006, [数学学报, Acta Mathematica Sinica], V49, P657

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