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ORCIDHiroyuki Okazaki
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Journal Articles
- 2024
[j57]Takehiko Mieno
, Hiroyuki Okazaki, Kenichi Arai, Yuichi Futa:
How to Formalize Loop Iterations in Cryptographic Protocols Using ProVerif. IEEE Access 12: 31605-31625 (2024)- 2023
- [j56]Hiroyuki Okazaki:
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors. Formaliz. Math. 31(1): 53-57 (2023) - 2022
- [j55]Hiroyuki Okazaki:
Formalization of Orthogonal Decomposition for Hilbert Spaces. Formaliz. Math. 30(4): 295-299 (2022) - 2021
- [j54]Kazuhisa Nakasho, Hiroyuki Okazaki, Yasunari Shidama:
Real Vector Space and Related NotionsThis study was supported in part by JSPS KAKENHI Grant Numbers 17K00182 and 20K19863. Formaliz. Math. 29(3): 117-127 (2021) - [j53]Kazuhisa Nakasho, Hiroyuki Okazaki, Yasunari Shidama:
Finite Dimensional Real Normed Spaces are Proper Metric Spaces. Formaliz. Math. 29(4): 175-184 (2021) - [j52]Hiroyuki Okazaki, Kazuhisa Nakasho:
The 3-Fold Product Space of Real Normed Spaces and its Properties. Formaliz. Math. 29(4): 241-248 (2021) - 2019
- [j51]Hiroyuki Okazaki, Koh-ichi Nagao, Yuichi Futa:
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm. Formaliz. Math. 27(1): 87-91 (2019) - [j50]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Operations of Points on Elliptic Curve in Affine Coordinates. Formaliz. Math. 27(3): 315-320 (2019) - 2018
- [j49]Hiroyuki Okazaki:
Binary Representation of Natural Numbers. Formaliz. Math. 26(3): 223-229 (2018) - 2016
- [j48]Kazuhisa Nakasho, Hiroshi Yamazaki, Hiroyuki Okazaki, Yasunari Shidama:
Conservation Rules of Direct Sum Decomposition of Groups. Formaliz. Math. 24(1): 81-94 (2016) - 2015
- [j47]Kazuhisa Nakasho, Hiroshi Yamazaki, Hiroyuki Okazaki, Yasunari Shidama:
Definition and Properties of Direct Sum Decomposition of Groups1. Formaliz. Math. 23(1): 15-27 (2015) - [j46]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Matrix of ℤ-module1. Formaliz. Math. 23(1): 29-49 (2015) - [j45]Kazuhisa Nakasho, Hiroyuki Okazaki, Hiroshi Yamazaki, Yasunari Shidama:
Equivalent Expressions of Direct Sum Decomposition of Groups1. Formaliz. Math. 23(1): 67-73 (2015) - [j44]Hiroyuki Okazaki, Yuichi Futa:
Polynomially Bounded Sequences and Polynomial Sequences. Formaliz. Math. 23(3): 205-213 (2015) - [j43]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Torsion Part of ℤ-module. Formaliz. Math. 23(4): 297-307 (2015) - [j42]Hiroyuki Okazaki:
Algebra of Polynomially Bounded Sequences and Negligible Functions. Formaliz. Math. 23(4): 371-378 (2015) - 2014
- [j41]Kazuhisa Nakasho, Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module. Formaliz. Math. 22(3): 189-198 (2014) - [j40]Kenichi Arai, Ken Wakabayashi, Hiroyuki Okazaki:
Difference of Function on Vector Space over F. Formaliz. Math. 22(3): 269-275 (2014) - [j39]Yuichi Futa, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama:
Torsion Z-module and Torsion-free Z-module. Formaliz. Math. 22(4): 277-289 (2014) - 2013
- [j38]Hiroyuki Okazaki, Yuichi Futa, Yasunari Shidama:
Formal definition of probability on finite and discrete sample space for proving security of cryptographic systems using Mizar. Artif. Intell. Res. 2(4): 37-48 (2013) - [j37]Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama:
The Ck Space. Formaliz. Math. 21(1): 25-31 (2013) - [j36]Hiroyuki Okazaki, Yasunari Shidama:
Random Variables and Product of Probability Spaces. Formaliz. Math. 21(1): 33-39 (2013) - [j35]Hiroyuki Okazaki, Hiroshi Yamazaki, Yasunari Shidama:
Isomorphisms of Direct Products of Finite Commutative Groups. Formaliz. Math. 21(1): 65-74 (2013) - [j34]Kenichi Arai, Hiroyuki Okazaki:
N-Dimensional Binary Vector Spaces. Formaliz. Math. 21(2): 75-81 (2013) - [j33]Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama:
Gaussian Integers. Formaliz. Math. 21(2): 115-125 (2013) - [j32]Hiroyuki Okazaki, Yuichi Futa, Yasunari Shidama:
Constructing Binary Huffman Tree. Formaliz. Math. 21(2): 133-143 (2013) - [j31]Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama:
Double Sequences and Limits. Formaliz. Math. 21(3): 163-170 (2013) - [j30]Kenichi Arai, Hiroyuki Okazaki:
Formalization of the Advanced Encryption Standard. Part I. Formaliz. Math. 21(3): 171-184 (2013) - [j29]Hiroshi Yamazaki, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama:
Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order. Formaliz. Math. 21(3): 207-211 (2013) - [j28]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Submodule of free Z-module. Formaliz. Math. 21(4): 273-282 (2013) - [j27]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Formalization of Definitions and Theorems Related to an Elliptic Curve Over a Finite Prime Field by Using Mizar. J. Autom. Reason. 50(2): 161-172 (2013) - 2012
- [j26]Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama:
Functional Space C(ω), C0(ω). Formaliz. Math. 20(1): 15-22 (2012) - [j25]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Z-modules. Formaliz. Math. 20(1): 47-59 (2012) - [j24]Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama:
Operations of Points on Elliptic Curve in Projective Coordinates. Formaliz. Math. 20(1): 87-95 (2012) - [j23]Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama:
Higher-Order Partial Differentiation. Formaliz. Math. 20(2): 113-124 (2012) - [j22]Hiroyuki Okazaki, Yasunari Shidama:
Formalization of the Data Encryption Standard. Formaliz. Math. 20(2): 125-146 (2012) - [j21]Hiroyuki Okazaki, Yosiki Aoki, Yasunari Shidama:
Extended Euclidean Algorithm and CRT Algorithm. Formaliz. Math. 20(2): 175-179 (2012) - [j20]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Quotient Module of Z-module. Formaliz. Math. 20(3): 205-214 (2012) - [j19]Hiroyuki Okazaki:
Posterior Probability on Finite Set. Formaliz. Math. 20(4): 257-263 (2012) - [j18]Hideki Sakurai, Hiroyuki Okazaki, Yasunari Shidama:
Banach's Continuous Inverse Theorem and Closed Graph Theorem. Formaliz. Math. 20(4): 271-274 (2012) - [j17]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Free ℤ-module. Formaliz. Math. 20(4): 275-280 (2012) - [j16]Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama:
Isomorphisms of Direct Products of Finite Cyclic Groups. Formaliz. Math. 20(4): 343-347 (2012) - 2011
- [j15]Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama:
Normal Subgroup of Product of Groups. Formaliz. Math. 19(1): 23-26 (2011) - [j14]Hiroyuki Okazaki, Noboru Endou, Yasunari Shidama:
More on Continuous Functions on Normed Linear Spaces. Formaliz. Math. 19(1): 45-49 (2011) - [j13]Hiroyuki Okazaki, Noboru Endou, Yasunari Shidama:
Cartesian Products of Family of Real Linear Spaces. Formaliz. Math. 19(1): 51-59 (2011) - [j12]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Formalization of Integral Linear Space. Formaliz. Math. 19(1): 61-64 (2011) - [j11]Hiroyuki Okazaki, Noboru Endou, Keiko Narita, Yasunari Shidama:
Differentiable Functions into Real Normed Spaces. Formaliz. Math. 19(2): 69-72 (2011) - [j10]Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama:
Banach Algebra of Bounded Complex-Valued Functionals. Formaliz. Math. 19(2): 121-126 (2011) - [j9]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Set of Points on Elliptic Curve in Projective Coordinates. Formaliz. Math. 19(3): 131-138 (2011) - 2010
- [j8]Hiroyuki Okazaki, Yasunari Shidama:
Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables. Formaliz. Math. 18(1-4): 213-217 (2010) - 2009
- [j7]Hiroyuki Okazaki, Yasunari Shidama:
Probability on Finite Set and Real-Valued Random Variables. Formaliz. Math. 17(1-4): 129-136 (2009) - [j6]Kenichi Arai, Hiroyuki Okazaki:
Properties of Primes and Multiplicative Group of a Field. Formaliz. Math. 17(1-4): 151-155 (2009) - [j5]Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama:
Hopf Extension Theorem of Measure. Formaliz. Math. 17(1-4): 157-162 (2009) - [j4]Hiroyuki Okazaki:
Probability on Finite and Discrete Set and Uniform Distribution. Formaliz. Math. 17(1-4): 173-178 (2009) - 2008
- [j3]Hiroyuki Okazaki, Yasunari Shidama:
Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*. Formaliz. Math. 16(1-4): 103-107 (2008) - 1998
- [j2]Masayoshi Ejiri, Jong-Tae Park, Hiroyuki Okazaki, James Won-Ki Hong:
Managing the New Telecommunications Paradigms: A Report on APNOMS'98. J. Netw. Syst. Manag. 6(4): 497-500 (1998) - 1993
- [j1]Hideki Sakauchi, Yasuyo Okanoue, Hiroyuki Okazaki, Satoshi Hasegawa:
Distributed Self-Healing Control in SONET. J. Netw. Syst. Manag. 1(2): 123-141 (1993)
Conference and Workshop Papers
- 2021
- [c11]Ryo Tokuyama, Yuichi Futa, Hikofumi Suzuki, Hiroyuki Okazaki:
Virtual Environment for Analysis and Evaluation of DDoS Attacks. AINA (3) 2021: 459-468 - 2020
- [c10]Takehiko Mieno, Togo Yoshimura, Hiroyuki Okazaki, Yuichi Futa, Kenichi Arai:
Formal Verification of Merkle-Damgård Construction in ProVerif. ISITA 2020: 602-606 - 2018
- [c9]Hiroyuki Okazaki, Yuichi Futa, Kenichi Arai:
Suitable Symbolic Models for Cryptographic Verification of Secure Protocols in ProVerif. ISITA 2018: 326-330 - 2016
- [c8]Hiroyuki Okazaki, Yuichi Futa:
Formalization of Polynomially Bounded and Negligible Functions Using the Computer-Aided Proof-Checking System Mizar. FM4M/MathUI/ThEdu/DP/WIP@CIKM 2016: 117-131 - [c7]Hiroyuki Okazaki:
Formalization of statistical indistinguishability of probability distribution ensembles in Mizar. ISITA 2016: 517-521 - [c6]Hiroshi Yamaguchi, Shigeo Tsujii, Hiroyuki Okazaki, Yasunari Shidama:
Privacy Preserving Logic Formula Calculation in Cloud. ICSC 2016: 329-332 - 2015
- [c5]Hiroyuki Okazaki, Hiroki Matsumoto, Yoshiki Shibata, Shinichi Motomura, Naoyuki Masada:
Application to Women's Healthcare of Health Management System Using a Tablet Phone. BIH 2015: 262-271 - 2012
- [c4]Yuichi Futa, Daichi Mizushima, Hiroyuki Okazaki:
Formalization of Gaussian integers, Gaussian rational numbers, and their algebraic structures with Mizar. ISITA 2012: 591-595 - 2010
- [c3]Kenichi Arai, Nobuaki Kondo, Hiroyuki Okazaki:
Formalization of Probability and Random Sampling on a Finite and Discrete Sample Space Using the Mizar Proof Checker. FCS 2010: 81-86 - 2007
- [c2]Hernán E. Aguirre, Hiroyuki Okazaki, Yasushi Fuwa:
An evolutionary multiobjective approach to design highly non-linear Boolean functions. GECCO 2007: 749-756 - 1996
- [c1]T. Kawagoe, H. Kawakami, K. Soga, K. Tanaka, Hiroyuki Okazaki, Satoshi Hasegawa:
On the design and an implementation of broadband access management systems. NOMS 1996: 382-391
Informal and Other Publications
- 2005
- [i1]Hiroyuki Okazaki, Ryuichi Sakai, Masao Kasahara:
Meta Ring Signature. IACR Cryptol. ePrint Arch. 2005: 310 (2005)
Coauthor Index
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