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1

The Design of a Novel Multiple-Parameter Fractional Number-Theoretic Transform and Its Application to Image Encryption

Neto, Jose R. de Oliveira, Lima, Juliano B., Panario, Daniel

Journal:

IEEE Transactions on Circuits and Systems for Video Technology

Year:

2019

Language:

english

File:

PDF, 10.51 MB

english, 2019

2

A generalization of the Hansen–Mullen conjecture on irreducible polynomials over finite fields

Daniel Panario, Georgios Tzanakis

Journal:

Finite Fields and Their Applications

Year:

2012

Language:

english

File:

PDF, 248 KB

english, 2012

3

Fast and Simple Modular Interpolation Using Factorial Representation

G. L. Mullen,, D. Panario,, D. Thomson,

Journal:

American Mathematical Monthly

Year:

2016

Language:

english

File:

PDF, 181 KB

english, 2016

4

Density of Normal Elements

Shuhong Gao, Daniel Panario

Journal:

Finite Fields and Their Applications

Year:

1997

Language:

english

File:

PDF, 244 KB

english, 1997

5

The Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields

P. Flajolet, X. Gourdon, D. Panario

Journal:

Journal of Algorithms

Year:

2001

Language:

english

File:

PDF, 315 KB

english, 2001

6

Swan-like results for binomials and trinomials over finite fields of odd characteristic

B. Hanson, D. Panario, D. Thomson

Journal:

Designs, Codes and Cryptography

Year:

2011

Language:

english

File:

PDF, 162 KB

english, 2011

7

A Karatsuba-Based Algorithm for Polynomial Multiplication in Chebyshev Form

Lima, J.B., Panario, D., Qiang Wang

Journal:

IEEE Transactions on Computers

Year:

2010

Language:

english

File:

PDF, 713 KB

english, 2010

8

Land use change in a temperate grassland soil: Afforestation effects on chemical properties and their ecological and mineralogical implications

Céspedes-Payret, Carlos, Piñeiro, Gustavo, Gutiérrez, Ofelia, Panario, Daniel

Journal:

Science of The Total Environment

Year:

2012

Language:

english

File:

PDF, 1.15 MB

english, 2012

9

2011 Proceedings of the Eighth Workshop on Analytic Algorithmics and Combinatorics (ANALCO) || Some properties of random staircase tableaux

Flajolet, Philippe, Panario, Daniel

Year:

2011

Language:

english

File:

PDF, 621 KB

english, 2011

10

General conditional recurrences

Panario, Daniel, Sahin, Murat, Wang, Qiang, Webb, William

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 490 KB

english, 2014

11

2011 Proceedings of the Eighth Workshop on Analytic Algorithmics and Combinatorics (ANALCO) || Random road networks: the quadtree model

Flajolet, Philippe, Panario, Daniel

Year:

2011

Language:

english

File:

PDF, 1.75 MB

english, 2011

12

Erratum: “On the heuristic of approximating polynomials over finite fields by random mappings”

Martins, Rodrigo S. V., Panario, Daniel

Journal:

International Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 57 KB

english, 2016

13

Ambiguity, deficiency and differential spectrum of normalized permutation polynomials over finite fields

Panario, Daniel, Santana, Daniel, Wang, Qiang

Journal:

Finite Fields and Their Applications

Year:

2017

Language:

english

File:

PDF, 468 KB

english, 2017

14

Fast modular reduction and squaring in GF (2 m )

Niehues, L. Boppre, Custódio, R., Panario, D.

Journal:

Information Processing Letters

Year:

2018

Language:

english

File:

PDF, 390 KB

english, 2018

15

A trigonometric approach for Dickson polynomials over fields of characteristic two

Lima, Juliano B., Panario, Daniel

Journal:

Applicable Algebra in Engineering, Communication and Computing

Year:

2020

File:

PDF, 2.85 MB

2020

16

Analysis of Ben-Or's polynomial irreducibility test

Daniel Panario, Bruce Richmond

Journal:

Random Structures & Algorithms

Year:

1998

Language:

english

File:

PDF, 235 KB

english, 1998

17

Algorithms for Exponentiation in Finite Fields

Shuhong Gao, Joachim Von zur gathen, Daniel Panario, Victor Shoup

Journal:

Journal of Symbolic Computation

Year:

2000

Language:

english

File:

PDF, 298 KB

english, 2000

18

Factoring Polynomials Over Finite Fields: A Survey

Joachim von zur Gathen, Daniel Panario

Journal:

Journal of Symbolic Computation

Year:

2001

Language:

english

File:

PDF, 452 KB

english, 2001

19

The number of irreducible polynomials of degree over with given trace and constant terms

B. Omidi Koma, D. Panario, Q. Wang

Journal:

Discrete Mathematics

Year:

2010

Language:

english

File:

PDF, 664 KB

english, 2010

20

Asymptotics of combinatorial structures with large smallest component

Edward A. Bender, Atefeh Mashatan, Daniel Panario, L.Bruce Richmond

Journal:

Journal of Combinatorial Theory, Series A

Year:

2004

Language:

english

File:

PDF, 211 KB

english, 2004

21

The eigenstructure of finite field trigonometric transforms

J.B. Lima, R.M. Campello de Souza, D. Panario

Journal:

Linear Algebra and its Applications

Year:

2011

Language:

english

File:

PDF, 302 KB

english, 2011

22

Distribution of exponential functions with k-full exponent modulo a prime

Michael Dewar, Daniel Panario, Igor E. Shparlinski

Journal:

Indagationes Mathematicae

Year:

2004

Language:

english

File:

PDF, 217 KB

english, 2004

23

Polynomials over finite fields free from large and small degree irreducible factors

Theodoulos Garefalakis, Daniel Panario

Journal:

Journal of Algorithms

Year:

2002

Language:

english

File:

PDF, 168 KB

english, 2002

24

Asymptotics of subtracted singularities for generating functions with small singularities

Journal:

Journal of Computational and Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 113 KB

english, 2002

25

Low complexity normal bases in F2n

Benjamin Young, Daniel Panario

Journal:

Finite Fields and Their Applications

Year:

2004

Language:

english

File:

PDF, 156 KB

english, 2004

26

Analysis of Rabin's irreducibility test for polynomials over finite fields

Daniel Panario, Boris Pittel, Bruce Richmond, Alfredo Viola

Journal:

Random Structures & Algorithms

Year:

2001

Language:

english

File:

PDF, 221 KB

english, 2001

27

Degree distribution of the greatest common divisor of polynomials over q

Zhicheng Gao, Daniel Panario

Journal:

Random Structures & Algorithms

Year:

2006

Language:

english

File:

PDF, 125 KB

english, 2006

28

Syndrome of limited joint mobility (SLJM) in diabetic patients

S. Roverano, S. Paira, R. Panario, R. Cordini, A. Fabiano, S. Garcia

Journal:

Clinical Rheumatology

Year:

1994

Language:

english

File:

PDF, 105 KB

english, 1994

29

Smallest components in decomposable structures: Exp-log class

D. Panario, B. Richmond

Journal:

Year:

2001

Language:

english

File:

PDF, 895 KB

english, 2001

30

Enumeration of Decomposable Combinatorial Structures with Restricted Patterns

Li Dong, Zhicheng Gao, Daniel Panario

Journal:

Annals of Combinatorics

Year:

2009

Language:

english

File:

PDF, 301 KB

english, 2009

31

Asymptotics of Largest Components in Combinatorial Structures

Mohamed Omar, Daniel Panario, Bruce Richmond, Jacki Whitely

Journal:

Year:

2006

Language:

english

File:

PDF, 159 KB

english, 2006

32

Preface

Philippe Jacquet, Daniel Panario, Wojciech Szpankowski

Journal:

Year:

2006

Language:

english

File:

PDF, 65 KB

english, 2006

33

Interval Partitions and Polynomial Factorization

Joachim von zur Gathen, Daniel Panario, Bruce Richmond

Journal:

Year:

2012

Language:

english

File:

PDF, 961 KB

english, 2012

34

Division of trinomials by pentanomials and orthogonal arrays

Michael Dewar, Lucia Moura, Daniel Panario, Brett Stevens, Qiang Wang

Journal:

Designs, Codes and Cryptography

Year:

2007

Language:

english

File:

PDF, 254 KB

english, 2007

35

The trace of an optimal normal element and low complexity normal bases

Maria Christopoulou, Theo Garefalakis, Daniel Panario, David Thomson

Journal:

Designs, Codes and Cryptography

Year:

2008

Language:

english

File:

PDF, 193 KB

english, 2008

36

Efficientpth root computations in finite fields of characteristicp

D. Panario, D. Thomson

Journal:

Designs, Codes and Cryptography

Year:

2009

Language:

english

File:

PDF, 136 KB

english, 2009

37

Codes with girth 8 Tanner graph representation

Amin Sakzad, Mohammad-Reza Sadeghi, Daniel Panario

Journal:

Designs, Codes and Cryptography

Year:

2010

Language:

english

File:

PDF, 146 KB

english, 2010

38

Gauss periods as constructions of low complexity normal bases

M. Christopoulou, T. Garefalakis, D. Panario, D. Thomson

Journal:

Designs, Codes and Cryptography

Year:

2012

Language:

english

File:

PDF, 243 KB

english, 2012

39

Divisibility of polynomials over finite fields and combinatorial applications

Daniel Panario, Olga Sosnovski, Brett Stevens, Qiang Wang

Journal:

Designs, Codes and Cryptography

Year:

2012

Language:

english

File:

PDF, 376 KB

english, 2012

40

A multiproxy approach to inferring Holocene paleobotanical changes linked to sea-level variation, paleosalinity levels, and shallow lake alternative states in Negra Lagoon, SE Uruguay

Felipe García-Rodríguez, Silvina Stutz, Hugo Inda, Laura del Puerto, Roberto Bracco, Daniel Panario

Journal:

Year:

2010

Language:

english

File:

PDF, 1.76 MB

english, 2010

41

Public-key encryption based on Chebyshev polynomials over

J.B. Lima, D. Panario, R.M. Campello de Souza

Journal:

Information Processing Letters

Year:

2010

Language:

english

File:

PDF, 158 KB

english, 2010

42

A Rigorous Proof of the Waterloo Algorithm for the Discrete Logarithm Problem

Michael Drmota, Daniel Panario

Journal:

Designs, Codes and Cryptography

Year:

2002

Language:

english

File:

PDF, 98 KB

english, 2002

43

Sets of orthogonal hypercubes of class r

John T. Ethier, Gary L. Mullen, Daniel Panario, Brett Stevens, David Thomson

Journal:

Journal of Combinatorial Theory, Series A

Year:

2012

Language:

english

File:

PDF, 168 KB

english, 2012

44

In honour of the research and influence of Joachim von zur Gathen at 60

Mark Giesbrecht, Daniel Panario

Journal:

Journal of Symbolic Computation

Year:

2012

Language:

english

File:

PDF, 864 KB

english, 2012

45

Integrating flexible tree searches to orthogonal matching pursuit algorithm

Karabulut, G.Z., Moura, L., Panario, D., Yongacoglu, A.

Journal:

IEE Proceedings - Vision Image and Signal Processing

Year:

2006

Language:

english

File:

PDF, 367 KB

english, 2006

46

Linear transformation shift registers

Dewar, M., Panario, D.

Journal:

IEEE Transactions on Information Theory

Year:

2003

Language:

english

File:

PDF, 401 KB

english, 2003

47

Two New Measures for Permutations: Ambiguity and Deficiency

Panario, D., Sakzad, A., Stevens, B., Qiang Wang

Journal:

IEEE Transactions on Information Theory

Year:

2011

Language:

english

File:

PDF, 243 KB

english, 2011

48

[IEEE 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton) - Monticello, IL, USA (2010.09.29-2010.10.1)] 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton) - Construction of turbo lattices

Sakzad, Amin, Sadeghi, Mohammad-Reza, Panario, Daniel

Year:

2010

Language:

english

File:

PDF, 377 KB

english, 2010

49

The relationship between emergence of mound builders in SE Uruguay and climate change inferred from opal phytolith records

Roberto Bracco, Laura del Puerto, Hugo Inda, Daniel Panario, Carola Castiñeira, Felipe García-Rodríguez

Journal:

Quaternary International

Year:

2011

Language:

english

File:

PDF, 1.33 MB

english, 2011

50

Preliminary study of prairies forested with Eucalyptus sp. at the northwestern Uruguayan soils

L. Carrasco-Letelier, G. Eguren, C. Castiñeira, O. Parra, D. Panario

Journal:

Environmental Pollution

Year:

2004

Language:

english

File:

PDF, 201 KB

english, 2004

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