Pantelimon Stanica

Orcid: 0000-0002-8622-7120

Affiliations:
  • Naval Postgraduate School, Monterey, CA, USA


According to our database1, Pantelimon Stanica authored at least 127 papers between 1996 and 2024.

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Bibliography

2024
Boomerang uniformity of some classes of functions over finite fields.
Discret. Appl. Math., January, 2024

Asymptotics on a class of <i>S</i>-unit integers.
Period. Math. Hung., 2024

2023
An infinite family of 0-APN monomials with two parameters.
Cryptogr. Commun., December, 2023

An Overview and Concerns Related to Quantum Cryptanalysis: Past, Present, and Future.
Computer, October, 2023

Stability of the Walsh-Hadamard spectrum of cryptographic Boolean functions with biased inputs.
J. Appl. Math. Comput., August, 2023

Using double Weil sums in finding the c-boomerang connectivity table for monomial functions on finite fields.
Appl. Algebra Eng. Commun. Comput., July, 2023

On Decompositions of Permutations in Quadratic Functions.
IACR Cryptol. ePrint Arch., 2023

Quantum Secure Protocols for Multiparty Computations.
CoRR, 2023

A connection between the boomerang uniformity and the extended differential in odd characteristic and applications.
CoRR, 2023

The differential properties of certain permutation polynomials over finite fields.
CoRR, 2023

The second-order zero differential spectra of some APN and other maps over finite fields.
CoRR, 2023

Representing the inverse map as a composition of quadratics in a finite field of characteristic 2.
CoRR, 2023

The second-order zero differential spectra of some functions over finite fields.
CoRR, 2023

A multivariate identity-based broadcast encryption with applications to the internet of things.
Adv. Math. Commun., 2023

Quantum states associated to mixed graphs and their algebraic characterization.
Adv. Math. Commun., 2023

Delegating signing rights in a multivariate proxy signature scheme.
Adv. Math. Commun., 2023

2022
The c-Differential Uniformity and Boomerang Uniformity of Two Classes of Permutation Polynomials.
IEEE Trans. Inf. Theory, 2022

A post-quantum signcryption scheme using isogeny based cryptography.
J. Inf. Secur. Appl., 2022

Permutation rotation-symmetric Sboxes, liftings and affine equivalence.
IACR Cryptol. ePrint Arch., 2022

C-differential bent functions and perfect nonlinearity.
Discret. Appl. Math., 2022

P℘N functions, complete mappings and quasigroup difference sets.
CoRR, 2022

Bivariate functions with low c-differential uniformity.
CoRR, 2022

Several classes of permutation polynomials and their differential uniformity properties.
CoRR, 2022

A quantum algorithm to estimate the closeness to the Strict Avalanche criterion in Boolean functions.
CoRR, 2022

A doubly-infinite family of 0-APN monomials.
CoRR, 2022

The c-differential spectrum of x ↦ x<sup>(p<sup>n</sup>+1)/2</sup> in finite fields of odd characteristics.
CoRR, 2022

Low c-differentially uniform functions via an extension of Dillon's switching method.
CoRR, 2022

Improving bounds on probabilistic affine tests to estimate the nonlinearity of Boolean functions.
Cryptogr. Commun., 2022

The binary Gold function and its c-boomerang connectivity table.
Cryptogr. Commun., 2022

On the behavior of some APN permutations under swapping points.
Cryptogr. Commun., 2022

Low c-differential uniformity for functions modified on subfields.
Cryptogr. Commun., 2022

On the existence and non-existence of some classes of bent-negabent functions.
Appl. Algebra Eng. Commun. Comput., 2022

2021
Investigations on c-(Almost) Perfect Nonlinear Functions.
IEEE Trans. Inf. Theory, 2021

Low <i>c</i>-differential and <i>c</i>-boomerang uniformity of the swapped inverse function.
Discret. Math., 2021

Boomerang uniformity of a class of power maps.
Des. Codes Cryptogr., 2021

On the c-differential uniformity of certain maps over finite fields.
Des. Codes Cryptogr., 2021

Investigations on c-boomerang uniformity and perfect nonlinearity.
Discret. Appl. Math., 2021

Higher Order $c$-Differentials.
CoRR, 2021

On Boolean Functions with Low Polynomial Degree and Higher Order Sensitivity.
CoRR, 2021

Characters, Weil sums and c-differential uniformity with an application to the perturbed Gold function.
Cryptogr. Commun., 2021

The c-differential behavior of the inverse function under the EA-equivalence.
Cryptogr. Commun., 2021

Gowers U<sub>2</sub> norm as a measure of nonlinearity for Boolean functions and their generalizations.
Adv. Math. Commun., 2021

Secure and efficient multiparty private set intersection cardinality.
Adv. Math. Commun., 2021

An Extension of the Avalanche Criterion in the Context of c-Differentials.
Proceedings of the 18th International Conference on Security and Cryptography, 2021

2020
Analysis on Boolean Function in a Restricted (Biased) Domain.
IEEE Trans. Inf. Theory, 2020

Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application.
IEEE Trans. Inf. Theory, 2020

C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity.
IEEE Trans. Inf. Theory, 2020

A quantum algorithm to estimate the Gowers U<sub>2</sub> norm and linearity testing of Boolean functions.
Quantum Inf. Process., 2020

Post-quantum protocol for computing set intersection cardinality with linear complexity.
IET Inf. Secur., 2020

On the sensitivity of some APN permutations to swapping points.
IACR Cryptol. ePrint Arch., 2020

Partially APN functions with APN-like polynomial representations.
Des. Codes Cryptogr., 2020

Generalized bent Boolean functions and strongly regular Cayley graphs.
Discret. Appl. Math., 2020

Low c-differential and c-boomerang uniformity of the swapped inverse function.
CoRR, 2020

Using double Weil sums in finding the Boomerang and the c-Boomerang Connectivity Table for monomial functions on finite fields.
CoRR, 2020

Some c-(almost) perfect nonlinear functions.
CoRR, 2020

Root-Hadamard transforms and complementary sequences.
Cryptogr. Commun., 2020

Partially APN Boolean functions and classes of functions that are not APN infinitely often.
Cryptogr. Commun., 2020

2019
Perfect Squares as Concatenation of Consecutive Integers.
Am. Math. Mon., 2019

Transparency order for Boolean functions: analysis and construction.
Des. Codes Cryptogr., 2019

A trigonometric sum sharp estimate and new bounds on the nonlinearity of some cryptographic Boolean functions.
Des. Codes Cryptogr., 2019

New bounds on the covering radius of the second order Reed-Muller code of length 128.
Cryptogr. Commun., 2019

Multiple characters transforms and generalized Boolean functions.
Cryptogr. Commun., 2019

New classes of p-ary bent functions.
Cryptogr. Commun., 2019

Landscape Boolean functions.
Adv. Math. Commun., 2019

The connection between quadratic bent-negabent functions and the Kerdock code.
Appl. Algebra Eng. Commun. Comput., 2019

Analysis of the Strict Avalanche Criterion in Variants of Arbiter-Based Physically Unclonable Functions.
Proceedings of the Progress in Cryptology - INDOCRYPT 2019, 2019

2018
Gowers U<sub>3</sub> norm of some classes of bent Boolean functions.
Des. Codes Cryptogr., 2018

Generalized nonlinearity of S-boxes.
Adv. Math. Commun., 2018

Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent.
Appl. Algebra Eng. Commun. Comput., 2018

On Symmetry and Differential Properties of Generalized Boolean Functions.
Proceedings of the Arithmetic of Finite Fields - 7th International Workshop, 2018

Tools in Analyzing Linear Approximation for Boolean Functions Related to FLIP.
Proceedings of the Progress in Cryptology - INDOCRYPT 2018, 2018

A Complete Characterization of Plateaued Boolean Functions in Terms of Their Cayley Graphs.
Proceedings of the Progress in Cryptology - AFRICACRYPT 2018, 2018

2017
Decomposing Generalized Bent and Hyperbent Functions.
IEEE Trans. Inf. Theory, 2017

A note on non-splitting Z-bent functions.
Inf. Process. Lett., 2017

Cubic Maiorana-McFarland bent functions with no affine derivative.
Int. J. Comput. Math. Comput. Syst. Theory, 2017

Partial spread and vectorial generalized bent functions.
Des. Codes Cryptogr., 2017

Bisecting binomial coefficients.
Discret. Appl. Math., 2017

Cryptographic Boolean functions with biased inputs.
Cryptogr. Commun., 2017

Counting permutation equivalent degree six binary polynomials invariant under the cyclic group.
Appl. Algebra Eng. Commun. Comput., 2017

Quantum Algorithms Related to \textitHN -Transforms of Boolean Functions.
Proceedings of the Codes, Cryptology and Information Security, 2017

2016
On Weak and Strong 2<sup>k</sup>-Bent Boolean Functions.
IEEE Trans. Inf. Theory, 2016

On Fibonacci numbers which are elliptic Carmichael.
Period. Math. Hung., 2016

Cryptographic properties of monotone Boolean functions.
J. Math. Cryptol., 2016

A Parallel Approach in Computing Correlation Immunity up to Six Variables.
Int. J. Found. Comput. Sci., 2016

An Analysis of the 풞 Class of Bent Functions.
Fundam. Informaticae, 2016

Further results on constructions of generalized bent Boolean functions.
Sci. China Inf. Sci., 2016

Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension.
Cryptogr. Commun., 2016

Generalized Bent Functions and Their Gray Images.
Proceedings of the Arithmetic of Finite Fields - 6th International Workshop, 2016

2015
Affine equivalence of quartic monomial rotation symmetric Boolean functions in prime power dimension.
Inf. Sci., 2015

A construction of Boolean functions with good cryptographic properties.
Int. J. Comput. Math., 2015

An analysis of the C class of bent functions.
IACR Cryptol. ePrint Arch., 2015

Circulant matrices and affine equivalence of monomial rotation symmetric Boolean functions.
Discret. Math., 2015

2014
Extended Closed-Form Expressions for the Robust Symmetrical Number System Dynamic Range and an Efficient Algorithm for Its Computation.
IEEE Trans. Inf. Theory, 2014

The Fourier Entropy-Influence conjecture holds for a log-density 1 class of cryptographic Boolean functions.
IACR Cryptol. ePrint Arch., 2014

Cryptographic properties of the hidden weighted bit function.
Discret. Appl. Math., 2014

Concatenations of the hidden weighted bit function and their cryptographic properties.
Adv. Math. Commun., 2014

2013
A Note on Generalized Bent Criteria for Boolean Functions.
IEEE Trans. Inf. Theory, 2013

The inverse of banded matrices.
J. Comput. Appl. Math., 2013

Counting Heron triangles with Constraints.
Integers, 2013

Bent and generalized bent Boolean functions.
Des. Codes Cryptogr., 2013

2012
Investigations on Bent and Negabent Functions via the Nega-Hadamard Transform.
IEEE Trans. Inf. Theory, 2012

The Independence Number for the Generalized Petersen Graphs.
Ars Comb., 2012

2011
On a Combinatorial Conjecture.
Integers, 2011

Octal Bent Generalized Boolean Functions.
IACR Cryptol. ePrint Arch., 2011

Some Results Concerning Generalized Bent Functions.
IACR Cryptol. ePrint Arch., 2011

Laced Boolean functions and subset sum problems in finite fields.
Discret. Appl. Math., 2011

Third-order family of methods in Banach spaces.
Comput. Math. Appl., 2011

The spectrum of generalized Petersen graphs.
Australas. J Comb., 2011

2010
Nega-Hadamard Transform, Bent and Negabent Functions.
Proceedings of the Sequences and Their Applications - SETA 2010, 2010

Enumeration of Bent Boolean Functions by Reconfigurable Computer.
Proceedings of the 18th IEEE Annual International Symposium on Field-Programmable Custom Computing Machines, 2010

2009
On a conjecture for balanced symmetric Boolean functions.
J. Math. Cryptol., 2009

Nontrivial Solutions to the Cubic Sieve Congruence Problem.
Computación y Sistemas, 2009

Cube-Type Algebraic Attacks on Wireless Encryption Protocols.
Computer, 2009

2008
Balanced Symmetric Functions Over GF(p).
IEEE Trans. Inf. Theory, 2008

2007
On the delta sequence of the Thue-Morse sequence.
Australas. J Comb., 2007

Remarks on a Sequence of Minimal Niven Numbers.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

2004
Boolean Functions with Five Controllable Cryptographic Properties.
Des. Codes Cryptogr., 2004

Almost Boolean Functions: The Design of Boolean Functions by Spectral Inversion.
Comput. Intell., 2004

Results on Rotation Symmetric Bent and Correlation Immune Boolean Functions.
Proceedings of the Fast Software Encryption, 11th International Workshop, 2004

2003
A constructive count of rotation symmetric functions.
Inf. Process. Lett., 2003

Rotation Symmetric Boolean Functions -; Count and Cryptographic Properties.
Electron. Notes Discret. Math., 2003

2002
A Binomial Coefficient Estimate: 10819.
Am. Math. Mon., 2002

Nonlinearity, local and global avalanche characteristics of balanced Boolean functions.
Discret. Math., 2002

Fast evaluation, weights and nonlinearity of rotation-symmetric functions.
Discret. Math., 2002

2001
Improving the nonlinearity of certain balanced Boolean functions with good local and global avalanche characteristics.
Inf. Process. Lett., 2001

1997
Counting the n-Chromos of I. J. Schoenberg.
J. Comb. Theory, Ser. A, 1997

1996
Bounds on the Number of Functions Satisfying the Strict Avalanche Criterion.
Inf. Process. Lett., 1996


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