Low-degree permutation rational functions over finite fields

被引:10
作者
Ding, Zhiguo [1 ]
Zieve, Michael E. [2 ]
机构
[1] Hunan Inst Traff Engn, Hengyang 421001, Hunan, Peoples R China
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
基金
美国国家科学基金会;
关键词
exceptional rational function; finite field; monodromy groups; permutation rational function; EXCEPTIONAL POLYNOMIALS;
D O I
10.4064/aa210521-12-11
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:253 / 280
页数:28
相关论文
共 28 条
[1]   POLYNOMIAL RELATIONS IN CHARACTERISTIC-P [J].
BREMNER, A ;
MORTON, P .
QUARTERLY JOURNAL OF MATHEMATICS, 1978, 29 (115) :335-347
[2]  
Cohen S.D., 1970, Acta Arith., V17, P255, DOI [10.4064/aa-17-3-255-271, DOI 10.4064/AA-17-3-255-271]
[3]   THE FACTORABLE CORE OF POLYNOMIALS OVER FINITE-FIELDS [J].
COHEN, SD .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1990, 49 :309-318
[4]  
Ding, REDEI FUNCTION UNPUB
[5]   Full classification of permutation rational functions and complete rational functions of degree three over finite fields [J].
Ferraguti, Andrea ;
Micheli, Giacomo .
DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (05) :867-886
[6]   GALOIS GROUPS AND COMPLEX MULTIPLICATION [J].
FRIED, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 235 (JAN) :141-163
[7]  
Fried M., 1974, Acta Arithmetica, V25, P225, DOI DOI 10.4064/AA-25-3-225-258
[8]  
FRIED M, 1974, ACTA ARITH, V25, P121
[9]   SCHUR COVERS AND CARLITZS CONJECTURE [J].
FRIED, MD ;
GURALNICK, R ;
SAXL, J .
ISRAEL JOURNAL OF MATHEMATICS, 1993, 82 (1-3) :157-225
[10]  
Guralnick RM, 2003, MEM AM MATH SOC, V162, P1