Definition and Properties of Direct Sum Decomposition of Groups1
Nakasho, Kazuhisa, Yamazaki, Hiroshi, Okazaki, Hiroyuki, Shidama, Yasunari
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki
Quotient Module of Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*
Okazaki, Hiroyuki, Shidama, Yasunari
Polynomially Bounded Sequences and Polynomial Sequences
Okazaki, Hiroyuki, Futa, Yuichi
The Ck Space
Kanazashi, Katuhiko, Okazaki, Hiroyuki, Shidama, Yasunari
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki