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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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 |
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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. |
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Ningsih, Fitria |
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Ningsih, Fitria PERMUTATION POLYNOMIALS OVER FINITE FIELDS |
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Ningsih, Fitria |
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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 |
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https://digilib.itb.ac.id/gdl/view/54994 |
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