Results 31 to 40 of about 103,432 (283)
Constructing permutation polynomials from piecewise permutations
Finite Fields and Their Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Xiwang, Hu, Lei, Zha, Zhengbang
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Polynomial measure of coherence
New Journal of Physics, 2017 Coherence, the superposition of orthogonal quantum states, is indispensable in various quantum processes. Inspired by the polynomial invariant for classifying and quantifying entanglement, we first define polynomial coherence measure and systematically ...
You Zhou +3 more
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When Is the Number of True Different Permutation Polynomials Equal to 0?
Mathematics, 2019 In this paper, we have obtained the prime factorization form of positive integers N for which the number of true different fourth- and fifth-degree permutation polynomials (PPs) modulo N is equal to zero.
Lucian Trifina, Daniela Tarniceriu
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Stack-Sortable Permutations and Polynomials
Turkish Journal of Mathematics, 2009 The Catalan numbers show up in a diverse variety of counting problems. In this note we give yet another characterization of the Catalan number C(n). It is characterized as the dimension of a certain space of multilinear polynomials by exhibiting a basis.
Güloğlu, İsmail Şuayip, Koç, Cemal
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Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2019 This work is the further development of the theory of norms of syndromes: the theory of polynomial invariants of G-orbits of errors expands with the group G of automorphisms of binary cyclic BCH codes obtained by joining the degrees of cyclotomic ...
V. A. Lipnitski, A. U. Serada
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Finite Fields and Their Applications, 2002 The author studies the question when a polynomial of the form \(f(x)=x^u(x^v+1)\) with positive integers \(u,v\) induces a permutation on the finite field \(\mathbb F_q\). For \(d=3\) and \(d=5\) he gives sufficient and necessary conditions for \(f\) to be a permutation polynomial over \(\mathbb F_q\) where \(d\mid q-1\) and \(\gcd(v,q-1)=(q-1)/d ...
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Further results on permutation polynomials and complete permutation polynomials over finite fields
AIMS Mathematics, 2021 <abstract><p>In this paper, by employing the AGW criterion and determining the number of solutions to some equations over finite fields, we further investigate nine classes of permutation polynomials over $ \mathbb{F}_{p^n} $ with the form $ (x^{p^m}-x+\delta)^{s_1}+(x^{p^m}-x+\delta)^{s_2}+x $ and propose five classes of complete ...
Liu, Qian +3 more
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An efficient high dimensional quantum Schur transform [PDF]
Quantum, 2019 The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$.
Hari Krovi
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Equivariant Ehrhart theory of hypersimplices
Forum of Mathematics, SigmaWe study the hypersimplex under the action of the symmetric group $S_n$ by coordinate permutation. We prove that its equivariant volume, given by the evaluation of its equivariant $H^*$ -series at $1$ , is the permutation character of ...
Oliver Clarke, Max Kölbl
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Arthritis Care &Research, Accepted Article.Objectives This study aimed to investigate hand function trajectories over 5 years in primary hand osteoarthritis. Additionally, determinants of baseline and longitudinal hand function were assessed. Methods 538 patients with both baseline and 5‐year study visits were analyzed.
Annemiek V.E.M. Olde Meule +4 more
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