A Short Note on Permutation Trinomials of Prescribed Type

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Date

2020

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Publisher

Taylor & Francis inc

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Green Open Access

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Abstract

We show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).

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Keywords

Permutation polynomials, finite fields

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Fields of Science

0101 mathematics, 01 natural sciences

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WoS Q

Q3

Scopus Q

Q3
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OpenCitations Citation Count
1

Source

Communications in Algebra

Volume

48

Issue

4

Start Page

1608

End Page

1612

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Scopus : 3

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3

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2

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