Computer arithmetic for cryptographic use, Computational methods of applied number theory
Journal Articles
(2026)
On Differential and Boomerang Properties of a Class of Binomials over Finite Fields of Odd Characteristic.
IEEE TRANSACTIONS ON INFORMATION THEORY.
72,
3
(2026)
The second-order zero differential uniformity of the swapped inverse functions over finite fields.
DISCRETE MATHEMATICS.
349,
1
(2025)
On the functions which are CCZ-equivalent but not EA-equivalent to quadratic functions over Fpn.
FINITE FIELDS AND THEIR APPLICATIONS.
103,
1
(2024)
On the computation of r-th roots in finite fields.
FINITE FIELDS AND THEIR APPLICATIONS.
99,
1
(2023)
Low c-differential uniformity of the swapped inverse function in odd characteristic.
DISCRETE APPLIED MATHEMATICS.
336,
1
(2023)
On non-monomial APcN permutations over finite fields of even characteristic.
FINITE FIELDS AND THEIR APPLICATIONS.
89,
1
(2023)
Investigations of c-differential uniformity of permutations with Carlitz rank 3.
FINITE FIELDS AND THEIR APPLICATIONS.
86,
1
(2022)
ON THE POCKLINGTON-PERALTA SQUARE ROOT ALGORITHM IN FINITE FIELDS.
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY.
59,
6
(2022)
On Cryptographic Parameters of Permutation Polynomials of the form x(r)h(x((2n-1)/d)).
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES.
E105,
8
(2022)
On the boomerang uniformity of permutations of low Carlitz rank.
FINITE FIELDS AND THEIR APPLICATIONS.
81,
(2022)
Constructing differentially 4-uniform involutions over F-22k by using Carlitz form.
FINITE FIELDS AND THEIR APPLICATIONS.
78,
-
(2022)
New differentially 4-uniform permutations from modifications of the inverse function.
FINITE FIELDS AND THEIR APPLICATIONS.
77,
1
(2021)
The number of representations of integers by 4-dimensional strongly N-modular lattices.
RAMANUJAN JOURNAL.
57,
4
(2020)
A refinement of Muller's cube root algorithm.
FINITE FIELDS AND THEIR APPLICATIONS.
67,
1
(2020)
Partially APN Boolean functions and classes of functions that are not APN infinitely often.
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES.
12,
1
(2020)
TRACE EXPRESSION OF r-TH ROOT OVER FINITE FIELD.
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY.
57,
4
(2019)
Modularity of Galois traces of Weber's resolvents.
JOURNAL OF NUMBER THEORY.
203,
-
(2019)
Representations of Bell-Type Quaternary Quadratic Forms.
RESULTS IN MATHEMATICS.
74,
75
(2010)
Area-Time Efficient Implementation of the Elliptic Curve Method of Factoring in Reconfigurable Hardware for Application in the Number Field Sieve.
IEEE TRANSACTIONS ON COMPUTERS.
59,
9
(2009)
Reconfigurable Computing Approach for Tate Pairing Cryptosystems over Binary Fields.
IEEE TRANSACTIONS ON COMPUTERS.
58,
8
