Qiang Wang

Murat Sahin

Cryptogr. Commun., September, 2024

Some classes of permutation binomials and trinomials of index q-1 over ${\mathbb {F}_{q^n}}$.

[BibT_eX]

[DOI]

Rohit Gupta

Luciane Quoos

Cryptogr. Commun., March, 2024

Constructing permutation polynomials from permutation polynomials of subfields.

[BibT_eX]

[DOI]

Lucas Reis

Finite Fields Their Appl., 2024

On the stable polynomials of degrees 2,3,4.

[BibT_eX]

[DOI]

Tong Lin

Finite Fields Their Appl., 2024

On many-to-one mappings over finite fields.

[BibT_eX]

[DOI]

CoRR, 2024

Efficient generation of odd order de Bruijn sequence with the same complement and reverse sequences.

[BibT_eX]

[DOI]

CoRR, 2024

The complexity of elliptic normal bases.

[BibT_eX]

[DOI]

Mohamadou Sall

CoRR, 2024

2023

In Memory of Professor Zhexian Wan.

[BibT_eX]

[DOI]

Finite Fields Their Appl., December, 2023

Generalized Lucas polynomials over finite fields.

[BibT_eX]

[DOI]

Lisha Li

Xiangyong Zeng

Finite Fields Their Appl., 2023

Two-weight or three-weight binary linear codes from cyclotomic mappings.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2023

2022

The additive index of polynomials over finite fields.

[BibT_eX]

[DOI]

Lucas Reis

Finite Fields Their Appl., 2022

On the enumeration of polynomials with prescribed factorization pattern.

[BibT_eX]

[DOI]

Simon Kuttner

Finite Fields Their Appl., 2022

Counting irreducible polynomials with prescribed coefficients over a finite field.

[BibT_eX]

[DOI]

Simon Kuttner

Finite Fields Their Appl., 2022

Coset-wise affine functions and cycle types of complete mappings.

[BibT_eX]

[DOI]

Alexander Bors

Finite Fields Their Appl., 2022

Further improvement on index bounds.

[BibT_eX]

[DOI]

Yansheng Wu

Yoonjin Lee

Des. Codes Cryptogr., 2022

On the stability of periodic binary sequences with zone restriction.

[BibT_eX]

[DOI]

Ming Su

Appl. Algebra Eng. Commun. Comput., 2022

2021

Finding Compositional Inverses of Permutations From the AGW Criterion.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2021

A Framework of Constructing Placement Delivery Arrays for Centralized Coded Caching.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2021

A family of Hermitian dual-containing constacyclic codes and related quantum codes.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2021

Several classes of complete permutation polynomials with Niho exponents.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2021

On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm.

[BibT_eX]

[DOI]

Simon Kuttner

Finite Fields Their Appl., 2021

An efficiently generated family of binary de Bruijn sequences.

[BibT_eX]

[DOI]

Yunlong Zhu

Martianus Frederic Ezerman

Discret. Math., 2021

2020

On Inverses of Permutation Polynomials of Small Degree Over Finite Fields.

[BibT_eX]

[DOI]

Yanbin Zheng

Wenhong Wei

IEEE Trans. Inf. Theory, 2020

Cycle Structures of a Class of Cascaded FSRs.

[BibT_eX]

[DOI]

Guang Gong

IEEE Trans. Inf. Theory, 2020

The dynamics of permutations on irreducible polynomials.

[BibT_eX]

[DOI]

Lucas Reis

Finite Fields Their Appl., 2020

A general method for finding the compositional inverses of permutations from the AGW criterion.

[BibT_eX]

[DOI]

CoRR, 2020

A Graph Joining Greedy Approach to Binary de Bruijn Sequences.

[BibT_eX]

[DOI]

Martianus Frederic Ezerman

Adamas Aqsa Fahreza

CoRR, 2020

New constructions of involutions over finite fields.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2020

Boomerang uniformity of normalized permutation polynomials of low degree.

[BibT_eX]

[DOI]

Yan-Ping Wang

Wei-Guo Zhang

Appl. Algebra Eng. Commun. Comput., 2020

Special Issue: "Computer Algebra and Application to Combinatorics, Coding Theory and Cryptography" ACA 2019, Montreal, Canada, July 16-20, 2019.

[BibT_eX]

[DOI]

Appl. Algebra Eng. Commun. Comput., 2020

2019

On the Derivative Imbalance and Ambiguity of Functions.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2019

A Generalized Grouping Scheme in Coded Caching.

[BibT_eX]

[DOI]

IEEE Trans. Commun., 2019

Further results on complete permutation monomials over finite fields.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2019

A recursive construction of permutation polynomials over Fq2 with odd characteristic related to Rédei functions.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2019

Improved bounds on 2-frameproof codes with length 4.

[BibT_eX]

[DOI]

Minquan Cheng

Jing Jiang

Des. Codes Cryptogr., 2019

General Criteria for Successor Rules to Efficiently Generate Binary de Bruijn Sequences.

[BibT_eX]

[DOI]

Martianus Frederic Ezerman

Pinhui Ke

CoRR, 2019

A lower bound on the 2-adic complexity of the modified Jacobi sequence.

[BibT_eX]

[DOI]

Yuhua Sun

Tongjiang Yan

Cryptogr. Commun., 2019

Compositional inverses of permutation polynomials of the form x r h(x s ) over finite fields.

[BibT_eX]

[DOI]

Kangquan Li

Longjiang Qu

Cryptogr. Commun., 2019

Fixed points of rational functions satisfying the Carlitz property.

[BibT_eX]

[DOI]

Kaitlyn Chubb

Appl. Algebra Eng. Commun. Comput., 2019

2018

A Property of a Class of Gaussian Periods and Its Application.

[BibT_eX]

[DOI]

IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2018

New constructions of permutation polynomials of the form xr h(x q - 1) over 𝔽q2.

[BibT_eX]

[DOI]

Kangquan Li

Longjiang Qu

Des. Codes Cryptogr., 2018

Counting Compositions over Finite Abelian Groups.

[BibT_eX]

[DOI]

Andrew MacFie

Electron. J. Comb., 2018

Characteristic digit-sum sequences.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2018

The exact autocorrelation distribution and 2-adic complexity of a class of binary sequences with almost optimal autocorrelation.

[BibT_eX]

[DOI]

Yuhua Sun

Tongjiang Yan

Cryptogr. Commun., 2018

Nonlinear vectorial primitive recursive sequences.

[BibT_eX]

[DOI]

Sartaj Ul Hasan

Cryptogr. Commun., 2018

2017

A note on inverses of cyclotomic mapping permutation polynomials over finite fields.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2017

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

[BibT_eX]

[DOI]

Daniel Santana

Finite Fields Their Appl., 2017

Compositional inverses and complete mappings over finite fields.

[BibT_eX]

[DOI]

Discret. Appl. Math., 2017

New Constructions of Permutation Polynomials of the Form $x^rh\left(x^{q-1}\right)$ over $\mathbb{F}_{q^2}$.

[BibT_eX]

[DOI]

Kangquan Li

Longjiang Qu

CoRR, 2017

A lower bound on the 2-adic complexity of Whiteman's generalized cyclotomic sequences of order 4 with length pq.

[BibT_eX]

[DOI]

Proceedings of the Eighth International Workshop on Signal Design and Its Applications in Communications, 2017

2016

Index bounds for character sums of polynomials over finite fields.

[BibT_eX]

[DOI]

Daqing Wan

Des. Codes Cryptogr., 2016

2015

Permutation Trinomials Over Finite Fields with Even Characteristic.

[BibT_eX]

[DOI]

SIAM J. Discret. Math., 2015

A probabilistic approach to value sets of polynomials over finite fields.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2015

Linearized Wenger graphs.

[BibT_eX]

[DOI]

Discret. Math., 2015

On coefficients of powers of polynomials and their compositions over finite fields.

[BibT_eX]

[DOI]

Gary L. Mullen

CoRR, 2015

An asymptotic formula for the number of irreducible transformation shift registers.

[BibT_eX]

[DOI]

CoRR, 2015

Linear complexity profile and correlation measure of interleaved sequences.

[BibT_eX]

[DOI]

Cryptogr. Commun., 2015

2014

On the inverses of some classes of permutations of finite fields.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2014

Roots and coefficients of polynomials over finite fields.

[BibT_eX]

[DOI]

Swastik Kopparty

Finite Fields Their Appl., 2014

Compositional inverses, complete mappings, orthogonal Latin squares and bent functions.

[BibT_eX]

[DOI]

CoRR, 2014

General conditional recurrences.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

Index bounds for value sets of polynomials over finite fields.

[BibT_eX]

[DOI]

Gary L. Mullen

Daqing Wan

Proceedings of the Applied Algebra and Number Theory, 2014

2013

Ambiguity and Deficiency of Permutations Over Finite Fields With Linearized Difference Map.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2013

A Family of Fibonacci-Like Conditional Sequences.

[BibT_eX]

[DOI]

Murat Sahin

Integers, 2013

Cyclotomy and permutation polynomials of large indices.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2013

Composed products and factors of cyclotomic polynomials over finite fields.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2013

Partitions and Compositions over Finite Fields.

[BibT_eX]

[DOI]

Electron. J. Comb., 2013

Symmetries of Codeword Stabilized Quantum Codes.

[BibT_eX]

[DOI]

Proceedings of the 8th Conference on the Theory of Quantum Computation, 2013

One variable.

[BibT_eX]

Gary L. Mullen

Proceedings of the Handbook of Finite Fields., 2013

Dickson polynomials.

[BibT_eX]

Joseph L. Yucas

Proceedings of the Handbook of Finite Fields., 2013

2012

Dickson polynomials over finite fields.

[BibT_eX]

[DOI]

Joseph L. Yucas

Finite Fields Their Appl., 2012

On a conjecture of polynomials with prescribed range.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2012

On explicit factors of cyclotomic polynomials over finite fields.

[BibT_eX]

[DOI]

Li-Ping Wang

Des. Codes Cryptogr., 2012

Divisibility of polynomials over finite fields and combinatorial applications.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2012

Generalized Alcuin's Sequence.

[BibT_eX]

[DOI]

Murat Sahin

Electron. J. Comb., 2012

Word-Oriented Transformation Shift Registers and Their Linear Complexity.

[BibT_eX]

[DOI]

Sartaj Ul Hasan

Proceedings of the Sequences and Their Applications - SETA 2012, 2012

2011

Two New Measures for Permutations: Ambiguity and Deficiency.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2011

On coefficients of polynomials over finite fields.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2011

On constructing permutations of finite fields.

[BibT_eX]

[DOI]

Amir Akbary

Dragos Ghioca

Finite Fields Their Appl., 2011

Ambiguity and deficiency of permutations from finite fields.

[BibT_eX]

[DOI]

Proceedings of the 2011 IEEE Information Theory Workshop, 2011

2010

A Karatsuba-Based Algorithm for Polynomial Multiplication in Chebyshev Form.

[BibT_eX]

[DOI]

Juliano B. Lima

IEEE Trans. Computers, 2010

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

[BibT_eX]

[DOI]

B. Omidi Koma

Discret. Math., 2010

Ambiguity and Deficiency in Costas Arrays and APN Permutations.

[BibT_eX]

[DOI]

Brett Stevens

Proceedings of the LATIN 2010: Theoretical Informatics, 2010

2009

On inverse permutation polynomials.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2009

On permutation polynomials of prescribed shape.

[BibT_eX]

[DOI]

Amir Akbary

Dragos Ghioca

Finite Fields Their Appl., 2009

2008

An answer to Hirasaka and Muzychuk: Every p-Schur ring over Cpp is Schurian.

[BibT_eX]

[DOI]

Pablo Spiga

Discret. Math., 2008

2007

Division of trinomials by pentanomials and orthogonal arrays.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2007

Cyclotomic Mapping Permutation Polynomials over Finite Fields.

[BibT_eX]

[DOI]

Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

2006

The Number of Permutation Binomials over F4p+1 where p and 4p+1 are Primes.

[BibT_eX]

[DOI]

Ariane M. Masuda

Electron. J. Comb., 2006

2005

On some permutation polynomials over finite fields.

[BibT_eX]

[DOI]

Amir Akbary