Planar polynomials arising from linearized polynomials

被引：3
|
作者：
Bartoli, Daniele [1 ,2 ]
Bonini, Matteo [1 ,2 ]
机构：
[1] Univ Perugia, Dept Math & Informat, Perugia, Italy
[2] Univ Trento, Dept Math, Trento, Italy
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 01期
关键词：
Planar polynomials; perfect nonlinear functions; finite fields; PERFECT; MAPPINGS; FAMILY; SETS;
D O I：
10.1142/S0219498822500025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct. planar polynomials of the type f(A,B)(x) - x(e(q2) + Ax(q) + Bx) is an element of F-q3 [X], with A, B is an element of F-q. In particular, we completely classify the pairs (A, B) is an element of F-q(2) such that f (A, B)(x) is planar using connections with algebraic curves over finite fields.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Some orthogonal polynomials arising from coherent states
    Ali, S. Twareque
    Ismail, Mourad E. H.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (12)
  • [32] Identities on Changhee Polynomials Arising from ?-Sheffer Sequences
    Kim, Byung Moon
    Kim, Taekyun
    Park, Jin-Woo
    Radwan, Taha Ali
    COMPLEXITY, 2022, 2022
  • [33] Galois groups of polynomials arising from circulant matrices
    Filaseta, M.
    Luca, F.
    Stanica, P.
    Underwood, R. G.
    JOURNAL OF NUMBER THEORY, 2008, 128 (01) : 59 - 70
  • [34] SOME IDENTITIES OF POLYNOMIALS ARISING FROM UMBRAL CALCULUS
    Kim, Dae San
    Kim, Taekyun
    Rim, Seog-Hoon
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (02) : 293 - 306
  • [35] Dynamics of functions arising from Pisot and Salem polynomials
    Somjate Chaiya
    Aimo Hinkkanen
    Journal of Fixed Point Theory and Applications, 2015, 17 : 371 - 378
  • [36] Asymptotics of zeros of polynomials arising from rational integrals
    Dimitrov, DK
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (01) : 127 - 132
  • [37] UNIMODAL POLYNOMIALS ARISING FROM LIE-SUPERALGEBRAS
    VANDERJEUGT, J
    STUDIES IN APPLIED MATHEMATICS, 1987, 77 (01) : 47 - 59
  • [38] Dynamics of functions arising from Pisot and Salem polynomials
    Chaiya, Somjate
    Hinkkanen, Aimo
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2015, 17 (02) : 371 - 378
  • [39] Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
    Berezin, Sergey
    Kuijlaars, Arno B. J.
    Parra, Ivan
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2023, 19
  • [40] Planar orthogonal polynomials as Type II multiple orthogonal polynomials
    Lee, Seung-Yeop
    Yang, Meng
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (27)
12345