Report
Permutation and local permutation polynomial of maximum degree
| العنوان: | Permutation and local permutation polynomial of maximum degree |
|---|---|
| المؤلفون: | Gutierrez, Jaime, Urroz, Jorge Jimenez |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Computer Science - Discrete Mathematics, 11T06, 05B15, 20B35, G.2.0, E.3, E.4 |
| الوصف: | Let $F_q$ be the finite field with $q$ elements and $F_q[x_1,\ldots, x_n]$ the ring of polynomials in $n$ variables over $F_q$. In this paper we consider permutation polynomials and local permutation polynomials over $F_q[x_1,\ldots, x_n]$, which define interesting generalizations of permutations over finite fields. We are able to construct permutation polynomials in $F_q[x_1,\ldots, x_n]$ of maximum degree $n(q-1)-1$ and local permutation polynomials in $F_q[x_1,\ldots, x_n]$ of maximum degree $n(q-2)$ when $q>3$, extending previous results. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.01258 |
| رقم الانضمام: | edsarx.2308.01258 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |