Results 11 to 20 of about 57,503 (225)
Permutation-Based Block Code for Short Packet Communication Systems
Sensors, 2022 This paper presents an approach to the construction of block error-correcting code for data transmission systems with short packets. The need for this is driven by the necessity of information interaction between objects of machine-type communication ...
Emil Faure +5 more
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Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables
Journal of Function Spaces, 2020 The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708. A derangement is a permutation that has no fixed points, and the derangement number Dn is the number of fixed point free permutations on an n element set ...
Lee-Chae Jang +3 more
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Permutation polynomials with Carlitz rank 2 [PDF]
Discrete Mathematics, 2021 Comment: 10 pages, comments are ...
José Alves Oliveira +1 more
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Further Results on Permutation Polynomials over Finite Fields [PDF]
, 2013 Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we develop general theorems on permutation polynomials over finite fields.
Ding, Cunsheng, Yuan, Pingzhi
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On Polynomials of the Form xrf(x(q−1)/l)
International Journal of Mathematics and Mathematical Sciences, 2007 We give a general criterion for permutation polynomials of the form xrf(x(q−1)/l), where r≥1, l≥1 and l∣(q−1). We employ this criterion to characterize several classes of permutation polynomials.
Amir Akbary, Qiang Wang
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Fixed Points of the Dickson Polynomials of the Second Kind
Journal of Applied Mathematics, 2013 The permutation behavior of Dickson polynomials of the first kind has been extensively studied, while such behavior for Dickson polynomials of the second kind is less known.
Adama Diene, Mohamed A. Salim
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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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Permutation and complete permutation polynomials
Finite Fields and Their Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bassalygo, L. A., Zinoviev, V. A.
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Am-permutation polynomials [PDF]
Journal of the Australian Mathematical Society, 2006 AbstractWe introduce a class of polynomials which induce a permutation on the set of polynomials in one variable of degree less than m over a finite field. We call then Am-permutation polynomials. We also give three criteria to characterize such polynomials.
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Toric matrix Schubert varieties and root polytopes (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Start with a permutation matrix π and consider all matrices that can be obtained from π by taking downward row operations and rightward column operations; the closure of this set gives the matrix Schubert variety Xπ.
Laura Escobar, Karola Mészáros
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