PERMUTATION POLYNOMIALS OVER FINITE FIELDS

Let ???????? be the finite field of ???? elements. The polynomial ?????????????[????] is the permutation polynomial of ???????? if the associated polynomial function from ???????? into ????????is a permutation. One of the classic results about the characteristics of permutation polynomials is known...

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Main Author: Ningsih, Fitria
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/54994
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:54994
spelling id-itb.:549942021-06-11T15:46:23ZPERMUTATION POLYNOMIALS OVER FINITE FIELDS Ningsih, Fitria Indonesia Theses polynomials, binomials, permutations, finite fields. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/54994 Let ???????? be the finite field of ???? elements. The polynomial ?????????????[????] is the permutation polynomial of ???????? if the associated polynomial function from ???????? into ????????is a permutation. One of the classic results about the characteristics of permutation polynomials is known as Hermite's Criterion. However, this criterion is difficult to be used when ???? is very large, and requires a long calculations. In this project, several characteristics of permutation polynomials over finite fields will be studied. In addition, this research will also examine the binomial characteristics of the permutation ????(????)=????????? ???????????? for ?????5. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Let ???????? be the finite field of ???? elements. The polynomial ?????????????[????] is the permutation polynomial of ???????? if the associated polynomial function from ???????? into ????????is a permutation. One of the classic results about the characteristics of permutation polynomials is known as Hermite's Criterion. However, this criterion is difficult to be used when ???? is very large, and requires a long calculations. In this project, several characteristics of permutation polynomials over finite fields will be studied. In addition, this research will also examine the binomial characteristics of the permutation ????(????)=????????? ???????????? for ?????5.
format Theses
author Ningsih, Fitria
spellingShingle Ningsih, Fitria
PERMUTATION POLYNOMIALS OVER FINITE FIELDS
author_facet Ningsih, Fitria
author_sort Ningsih, Fitria
title PERMUTATION POLYNOMIALS OVER FINITE FIELDS
title_short PERMUTATION POLYNOMIALS OVER FINITE FIELDS
title_full PERMUTATION POLYNOMIALS OVER FINITE FIELDS
title_fullStr PERMUTATION POLYNOMIALS OVER FINITE FIELDS
title_full_unstemmed PERMUTATION POLYNOMIALS OVER FINITE FIELDS
title_sort permutation polynomials over finite fields
url https://digilib.itb.ac.id/gdl/view/54994
_version_ 1822274117558075392