Computer arithmetic for cryptographic use, Computational methods of applied number theory
Journal Articles
(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
(2019)
On the Cipolla-Lehmer type algorithms in finite fields.
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING.
30,
2
(2016)
ON NONLINEAR POLYNOMIAL SELECTION AND GEOMETRIC PROGRESSION (MOD N) FOR NUMBER FIELD SIEVE.
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY.
53,
1
(2016)
On r-th Root Extraction Algorithm in F_q for q=lr^s+1 (mod r^(s+1)) with 0<l<r and Small s.
IEEE TRANSACTIONS ON COMPUTERS.
65,
1
(2015)
New cube root algorithm based on the third order linear recurrence relations in finite fields.
DESIGNS CODES AND CRYPTOGRAPHY.
75,
3
(2014)
Remarks on the Pocklington and Padro-Saez cube root algorithm in F-q.
ELECTRONICS LETTERS.
50,
14
(2013)
Square root algorithm in F-q for q equivalent to 2(s)+1 (mod 2(s+1)).
ELECTRONICS LETTERS.
49,
7
Publications
(2005)
미적분학.
경문사.
Co-author
(2002)
대학미적분학.
성균관대출판부.
Co-author
Conference Paper
(2023)
On the Functions Which are CCZ-equivalent but not EA-equivalent to Quadratic Function.
FQ15 (Finite Fields and Their Applications).
EU
