Okazaki, Hiroyuki | Shinshu University Researcher Directory

Academic Organization	Academic Assembly　School of Science and Technology　Institute of Engineering	TEL
Education and Research Organization	Graduate School of Science and Technology	FAX
Position	Associate Professor	Mail Address
Address	4-17-1,Wakasato Nagano-City, Nagano, Japan	Web site

Profile

Research Field: Information Security(Cryptology)
Formal Verification
Keywords:Cryptology , Security

Current Subject: Formal verification of cryptosystem
Keywords:Formal Method , 形式的手法 , cryptology

Academic Societies: Academic Societies
Japanese Society for Software Science and Technology
Japan Society for Industrial and Applied Mathematics
The Institute of Electronics, Information and Communication Engineers

Academic Background: Graduate School
Kyoto Institute of Technology , (Division of Information and Production Science , Graduate School of Science and Technology) , 2004
Kyoto Institute of Technology , (Division of Electronics and Information Science , Graduate School of Science and Technology) , 2001

College
Kyoto Institute of Technology , (Faculty of Engineering and Design) , 1999

Degree
doctorate in engineering , Kyoto Institute of Technology(Japan)

Research Career: Research Career
2021- , GraduateSchoolof Science and Technology, Shinshu University (Associate Professor)
2007-2021 , GraduateSchoolof Science and Technology, Shinshu University (Assistant Professor)
2005-2007 , Graduate School of Science and Technology, Shinshu University (Research Associate)

Research

Books, Articles, etc.: Articles
The 3-Fold Product Space of Real Normed Spaces and its Properties
Formalized Mathematics,29(4):245-253 2021
Author:Hiroyuki Okazaki, Kazuhisa Nakasho

Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Formalized Mathematics,29(4):177-186 2021
Author:Kazuhisa Nakasho, Hiroyuki Okazaki

Real Vector Space and Related Notions
Formalized Mathematics,29(3):117-127 2021
Author:Kazuhisa Nakasho,Hiroyuki Okazaki,Yasunari Shidama

Formal Verification of Merkle-Damgård Construction in ProVerif
Proc of The International Symposium on Information Theory and Its Applications(ISITA2020),:602-606 2021
Author:Mieno Takehiko, Yoshimura Togo, Hiroyuki Okazaki, Yuichi Futa, Kenichi Arai

Virtual Environment for Analysis and Evaluation of DDoS Attacks
Lecture Notes in Networks and Systems,227(3):459-468 2021
Author:Ryo Tokuyama, Yuichi Futa, Hikofumi Suzuki, Hiroyuki Okazaki

Operations of Points on Elliptic Curve in Affine Coordinates
Formalized Mathematics,27(3):315-320 2019
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Formalization of Security Requirements and Attack Models for Cryptographic Hash Functions in ProVerif
The 2019 International Conference on Security and Management (SAM'19),:23-29 2019
Author:Togo Yoshimura, Kenichi Arai, Hiroyuki Okazaki, Yuichi Futa

Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Formalized Mathematics,27(1):87-91 2019
Author:Hiroyuki Okazaki,Koh-ichi Nagao,Yuichi Futa

Suitable Models for Formal Security Verification of Cryptosystems in ProVerif
The International Symposium on Information Theory and Its Applications(ISITA2018),:326-330 2018
Author:Hiroyuki Okazaki, Yuichi Futa, Kenichi Arai

Binary Representation of Natural Numbers
Formalized Mathematics,26(3):223-229 2018
Author:Hiroyuki Okazaki

Formalization of Statistical Indistinguishability of Probability Distribution Ensembles in Mizar
The International Symposium on Information Theory and Its Applications,:517-521 2016
Author:Hiroyuki Okazaki

Privacy Preserving Logic Formula Calculation in Cloud
2016 IEEE Tenth International Conference on Semantic Computing (ICSC),:329-332 2016
Author:Hiroshi Yamaguchi, Shigeo Tsujii, Hiroyuki Okazaki, Yasunari Shidama

Conservation Rules of Direct Sum Decomposition of Groups
Formalized Mathematics,24(1):81-94 2016
Author:Kazuhisa Nakasho, Hiroshi Yamazaki, Hiroyuki Okazaki, Yasunari Shidama

Algebra of Polynomially Bounded Sequences and Negligible Functions
Formalized Mathematics,23(4):371-378 2016
Author:Hiroyuki Okazaki

Torsion Part of ℤ-module
Formalized Mathematics,23(4):297-307 2016
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Polynomially Bounded Sequences and Polynomial Sequences
Formalized Mathematics,23(3):205-213 2015
Author:Hiroyuki Okazaki, Yuichi Futa

Equivalent Expressions of Direct Sum Decomposition of Groups
Formalized Mathematics,23(1):67-73 2015
Author:Kazuhisa Nakasho, Hiroyuki Okazaki, Hiroshi Yamazaki, Yasunari Shidama

Matrix of Z-module
Formalized Mathematics,23(1):29-49 2015
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Definition and Properties of Direct Sum Decomposition of Groups
Formalized Mathematics,23(1):15-27 2015
Author:Kazuhisa Nakasho, Hiroshi Yamazaki, Hiroyuki Okazaki, Yasunari Shidama

Torsion Z-module and Torsion-free Z-module
Formalized Mathematics,22(4):271-283 2014
Author:Yuichi Futa, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama

Difference of Function on Vector Space over F
Formalized Mathematics,22(3):265-270 2014
Author:Kenichi Arai, Ken Wakabayashi, Hiroyuki Okazaki

Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Formalized Mathematics,22(3):189-198 2014
Author:Kazuhisa Nakasho, Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Formal definition of probability on finite and discrete sample space for proving security of cryptographic systems using Mizar
Artificial Intelligence Research,2(4):37-48 2013(Aug.)
Author:Okazaki, H; Futa, Y; Shidama, Y

Formalization of Definitions and Theorems Related to an Elliptic Curve Over a Finite Prime Field by Using Mizar
JOURNAL OF AUTOMATED REASONING,50(2):161-172 2013(Feb.)
Author:Futa, Y; Okazaki, H; Shidama, Y

Formalization of Binary Fields and N-dimensional Binary Vector Spaces Using the Mizar Proof Checker
2013 International Conference on Foundations of Computer Science (FCS'13),:71-77 2013
Author:Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama

Formalization Description of Huffman Coding Trees Using the Mizar
2013 International Conference on Foundations of Computer Science (FCS'13),:59-65 2013
Author:Takaya Ido, Hiroyuki Okazaki, Yasunari Shidama

Content Development for Distance Education in Advanced University Mathematics Using Mizar
The 2013 International Conference on e-Learning, e-Business, Enterprise Information Systems, and e-Government(EEE'13),:312-326 2013
Author:Takaya Ido, Hiroyuki Okazaki, Hiroshi YAMAZAKI, Pauline Naomi KAWAMOTO, Katsumi WASAKI, Yasunari Shidama

Submodule of free Z-module
Formalized Mathematics,21(4):273-282 2013
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Isomorphisms of Direct Products of Cyclic Groups of Prime-power Order
Formalized Mathematics,21(3):207-211 2013
Author:Hiroshi Yamazaki, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama

Double Sequences and Limits
Formalized Mathematics,21(3):163-170 2013
Author:Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama

Formalization of the Advanced Encryption Standard. Part I
Formalized Mathematics,21(3):171-184 2013
Author:Kenichi Arai, Hiroyuki Okazaki

Gaussian Integers
Formalized Mathematics,21(2):115-125 2013
Author:Yuichi Futa, Hiroyuki Okazaki, Daich Mizushima, Yasunari Shidama

Constructing Binary Huffman Tree
Formalized Mathematics,21(2):133-143 2013
Author:Hiroyuki Okazaki, Yuichi Futa, Yasunari Shidama

N-dimensional Binary Vector Spaces
Formalized Mathematics,21(2):75-81 2013
Author:Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama

Isomorphisms of Direct Products of Finite Commutative Groups
Formalized Mathematics,21(1):65-74 2013
Author:Hiroyuki Okazaki, Hiroshi Yamazaki, Yasunari Shidama

Random Variables and Product of Probability Spaces
Formalized Mathematics,21(1):33-39 2013
Author:Hiroyuki Okazaki, Yasunari Shidama

The C^k Space
Formalized Mathematics,21(1):25-31 2013
Author:Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama

Signature as Public Key Structured Cryptosystem and its Application
The 11th International Conference on Security and Management(SAM'12),:22-27 2012
Author:Kenichi Arai, Hiroyuki Okazaki

Formalization Verification of Number Theoretic Algorithms Using the Mizar Proof Checker
2012 International Conference on Foundations of Computer Science (FCS'12),:45-50 2012
Author:Hiroyuki Okazaki, Yoshiki Aoki, Yasunari Shidama

Formalization Verification of AES Using the Mizar Proof Checker
2012 International Conference on Foundations of Computer Science (FCS'12),:78-84 2012
Author:Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama

Formalization of Gaussian Integers, Gaussian Rational Numbers, and Their Algebraic Structures with Mizar
2012 International Symposium on Information Theory and its Applications (ISITA2012),:591-595 2012
Author:Yuichi Futa, Daichi Mizushima,Hiroyuki Okazaki

Banach's Continuous Inverse Theorem and Closed Graph Theorem
Formalized Mathematics,20(4):271-274 2012
Author:Hideki Sakurai, Hiroyuki Okazaki, Yasunari Shidama

Free Z-module
Formalized Mathematics,20(4):275-280 2012
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Isomorphisms of Direct Products of Finite Cyclic Groups
Formalized Mathematics,20(4):343-347 2012
Author:Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama

Posterior Probability on Finite Set
Formalized Mathematics,20(4):257-263 2012
Author:Hiroyuki Okazaki

Quotient Module of Z-module
Formalized Mathematics,20(3):205-214 2012
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Extended Euclidean Algorithm and CRT Algorithm
Formalized Mathematics,20(2):175-179 2012
Author:Hiroyuki Okazaki, Yoshiki Aoki,Yasunari Shidama

Higher-Order Partial Differentiation
Formalized Mathematics,20(2):113-124 2012
Author:Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama

Formalization of the Data Encryption Standard
Formalized Mathematics,20(2):125-146 2012
Author:Hiroyuki Okazaki, Yasunari Shidama

Functional Space C(ω), C0(ω)
Formalized Mathematics,20(1):15-22 2012
Author:Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama

Z-modules
Formalized Mathematics,20(1):47-59 2012
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Operations of Points on Elliptic Curve in Projective Coordinates
Formalized Mathematics,20(1):87-95 2012
Author:Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama

Formalization Verification of DES Using the Mizar Proof Checker
2011 International Conference on Foundations of Computer Science,:63-68 2011(Jul.)
Author:Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama

Set of Points on Elliptic Curve in Projective Coordinates
Formalized Mathematics,19(3):131-138 2011
Author:Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama

Banach Algebra of Bounded Complex-Valued Functionals
Formalized Mathematics,19(2):121-126 2011
Author:Katuhiko Kanazashi, Hiroyuki Okazaki and Yasunari Shidama

Differentiable Functions into Real Normed Spaces
Formalized Mathematics,19(2):69-72 2011
Author:Hiroyuki Okazaki, Noboru Endou, Keiko Narita and Yasunari Shidama

Formalization of Integral Linear Space
Formalized Mathematics,19(1):61-64 2011
Author:Hiroyuki Okazaki, Noboru Endou and Yasunari Shidama

Cartesian Products of Family of Real Linear Spaces
Formalized Mathematics,19(1):51-59 2011
Author:Hiroyuki Okazaki, Noboru Endou and Yasunari Shidama

More on Continuous Functions on Normed Linear Spaces
Formalized Mathematics,19(1):45-49 2011
Author:Hiroyuki Okazaki, Noboru Endou and Yasunari Shidama

Normal Subgroup of Product of Groups
Formalized Mathematics,19(1):23-26 2011
Author:Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama

Formalization of Probability and Random Sampling on a Finite and Discrete Sample Space Using the Mizar Proof Checker
2010 International Conference on Foundations of Computer Science 2010(Jul.)
Author:Kenichi Arai, Nobuaki Kondo, Hiroyuki Okazaki

Probability Measure on Discrete Spaces and Algebra of Real Valued Random Variables
Formalized Mathematics,18(4):213-217 2010
Author:Hiroyuki Okazaki, Yasunari Shidama

Properties of Primes and Multiplicative Group of a Field
Formalized Mathematics,17(2):151-155 2009
Author:Kenichi Arai,Hiroyuki Okazaki

Probability on Finite Set and Real-Valued Random Variables
Formalized Mathematics,17(2):129-136 2009
Author:Hiroyuki Okazaki,Yasunari Shidama

Probability on Finite and Discrete Set and Uniform Distribution
Formalized Mathematics,17(2):173-178 2009
Author:Hiroyuki Okazaki

Hopf Extension Theorem of Measure
Formalized Mathematics,17(2):157-162 2009
Author:Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama

Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*
Formalized Mathematics,16(2):103-107 2008
Author:Hiroyuki Okazaki,Yasunari Shidama

An evolutionary multiobjective approach to design highly non-linear Boolean functions
Genetic and Evolutionary Computation Conference (GECCO 2007),:749-756 2007
Author:Hernan E. Aguirre, Hiroyuki Okazaki, Yasushi Fuwa

A watermarking scheme using background pattern to protect printed documents
Proc. International Workshop on Nonlinear Circuits and Signal Processing (NCSP 2007) 2007
Author:Katsuki Kobayashi, Kiyoshi Tanaka, Hernan Aguirre, Hiroyuki Okazaki, Hisayoshi Kunimune,Katsumi Wasaki, Masaaki Niimura, Yasushi Fuwa

Preliminary Study on a Watermarking Scheme Using Background Pattern to Protect Printed Documents
Journal of Signal Processing,11(4):337-340 2007
Author:Katsuki Kobayashi,Heman Aguirre,Hiroyuki Okazaki,Kiyoshi Tanaka

Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers
Formalized Mathematics,15(4):231-235 2007
Author:Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama,Hiroyuki Okazaki

ヴェイユペアリングを用いた署名者の関連付けが可能なグループ署名方式
電子情報通信学会論文誌,J87-A(No.4):563～568 2004
Author:岡崎裕之, 境隆一, 柴山潔, 笠原正雄

合成数Ｐ＾２Ｑの素因数分解に適した楕円曲線
日本応用数理学会論文誌,Vol.12(No.4):9～19 2002
Author:岡崎裕之, 境隆一, 笠原正雄

Presentations
オープンサイエンスにおける研究公正を追求するNextCloudカスタムアプリケーションの有用性の検討とGakuNinRDMとの比較
情報処理学会インターネットと運用技術研究会 2022(Mar. 08)
Presenter:藤岡碧志,岡崎裕之,鈴木彦文

ブロックチェーン技術を用いたDNSキャッシュポイズニング検知方式の評価
電子情報通信学会ICSS研究会 2022(Feb. 28)
Presenter:田中健士朗, 布田裕一, 岡崎裕之, 鈴木彦文

情報セキュリティ人材育成のための形式的安全性検証ツール学習用eラーニング環境の構築
第8回実践的IT教育シンポジウム rePiT2022 2022
Presenter:大町隆人, 岡崎裕之, 布田裕一, 村上恭通

ProVerifによる検索可能暗号の形式的安全性検証について
2022年暗号と情報セキュリティシンポジウム（SCIS2022) 2022
Presenter:鈴木孝誠, 山本博章, 三重野武彦, 荒井研一, 岡崎裕之, 布田裕一

SVMによる工場ネットワークにおける偽装通信の検知手法のリアルタイム性の検証
2022年暗号と情報セキュリティシンポジウム（SCIS2022) 2022
Presenter:原田雄基,布田裕一, 岡崎裕之

SDNを用いたDDoS攻撃に対する防御機構構築
2022年暗号と情報セキュリティシンポジウム（SCIS2022) 2022
Presenter:徳山凌, 布田裕一, 鈴木彦文, 岡崎裕之

SVMを用いた制御システムに対する偽装命令攻撃の検知
電子情報通信学会ISEC(研究会(ISEC2021-15) 2021(Jul. 19)
Presenter:原田雄基, 布田裕一, 岡崎裕之

GakuninRDMとオンプレミスNextCloudとの連携による研究不正対策基盤の構築と運用の提案
情報処理学会インターネットと運用技術研究会(IOT54) 2021(Jul. 09)
Presenter:藤岡碧志,岡崎裕之,鈴木彦文

第四世代鍵共有方式ID-NIKS IVを利用した新たな認証アーキテクチャ
第44回情報理論とその応用シンポジウム(SITA2021) 2021
Presenter:三重野武彦, 岡崎裕之, 布田裕一, 村上恭通

ProVerifを用いたスポンジ構造の形式化
2021年暗号と情報セキュリティシンポジウム（SCIS2021) 2021
Presenter:吉村東悟,荒井研一,岡崎裕之,布田裕一,三重野武彦

制御システムにおける異常検知手法とデータセットの評価
2021年暗号と情報セキュリティシンポジウム（SCIS2021) 2021
Presenter:原田雄基, 布田裕一, 岡崎裕之

ProVerifを用いたMD変換の形式化
日本応用数理学会 2020年度年会 2020
Presenter:吉村東悟,荒井研一,岡崎裕之,布田裕一,三重野武彦

Formalization of Security Requirements and Attack Models for Cryptographic Hash Functions in ProVerif
The 2019 International Conference on Security and Management (SAM'19) 2019
Presenter:Togo Yoshimura, Kenichi Arai, Hiroyuki Okazaki, Yuichi Futa

認証ログをライフログとして用いた安否確認システムの開発
ICSS研究会 ICSS2019 6 27-30 2019
Presenter:森田拓哉, アサノデービッド, 鈴木彦文, 岡崎裕之

Formalization of Security Requirements and Attack Models for Cryptographic Hash Functions in ProVerif
The 2019 International Conference on Security and Management (SAM'19) 2019
Presenter:Togo Yoshimura, Kenichi Arai, Hiroyuki Okazaki, Yuichi Futa

e-Learning System for Cryptography on Moodle
Internet Conference 2018 (IC2018) 2018
Presenter:Tatsuki Miyamoto, Shogo Shimura, Tatsuki Watanabe, Hiroyuki Okazaki, Yuichi Futa, Yasuyuki Murakami

Suitable Models for Formal Security Verification of Cryptosystems in ProVerif
The International Symposium on Information Theory and Its Applications(ISITA2018) 2018
Presenter:Hiroyuki Okazaki, Yuichi Futa, Kenichi Arai

Formalization of Statistical Indistinguishability of Probability Distribution Ensembles in Mizar
The International Symposium on Information Theory and Its Applications 517-521 2016
Presenter:Hiroyuki Okazaki

Privacy Preserving Logic Formula Calculation in Cloud
2016 IEEE Tenth International Conference on Semantic Computing (ICSC) 2016
Presenter:Hiroshi Yamaguchi, Shigeo Tsujii, Hiroyuki Okazaki, Yasunari Shidama

Formalization of Binary Fields and N-dimensional Binary Vector Spaces Using the Mizar Proof Checker
2013 International Conference on Foundations of Computer Science (FCS'13) 2013
Presenter:Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama

Formalization Description of Huffman Coding Trees Using the Mizar
2013 International Conference on Foundations of Computer Science (FCS'13) 2013
Presenter:Takaya Ido, Hiroyuki Okazaki, Yasunari Shidama

Content Development for Distance Education in Advanced University Mathematics Using Mizar
The 2013 International Conference on e-Learning, e-Business, Enterprise Information Systems, and e-Government(EEE'13) 2013
Presenter:Takaya Ido, Hiroyuki Okazaki, Hiroshi YAMAZAKI, Pauline Naomi KAWAMOTO, Katsumi WASAKI, Yasunari Shidama

Mizarによる大学数学向け高度遠隔教育用コンテンツ開発
教育工学研究会 ET2012 55 13～17 2012
Presenter:井戸貴也,岡崎裕之,山崎浩,師玉康成

Signature as Public Key Structured Cryptosystem and its Application
The 11th International Conference on Security and Management(SAM'12) 2012
Presenter:Kenichi Arai, Hiroyuki Okazaki

Formalization Verification of Number Theoretic Algorithms Using the Mizar Proof Checker
2012 International Conference on Foundations of Computer Science (FCS'12) 2012
Presenter:Hiroyuki Okazaki, Yoshiki Aoki, Yasunari Shidama

Formalization Verification of AES Using the Mizar Proof Checker
2012 International Conference on Foundations of Computer Science (FCS'12) 2012
Presenter:Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama

Formalization of Gaussian Integers, Gaussian Rational Numbers, and Their Algebraic Structures with Mizar
2012 International Symposium on Information Theory and its Applications (ISITA2012) 2012
Presenter:Yuichi Futa, Daichi Mizushima,Hiroyuki Okazaki

ProVerif を用いたPolicy-based Chameleon Hashによる修正可能なブロックチェーンの形式化
日本応用数理学会 2021年度年会 2011(Sep. 07)
Presenter:杉山航平, 荒井研一,岡崎裕之,布田裕一,三重野武彦

Formalization Verification of DES Using the Mizar Proof Checker
2011 International Conference on Foundations of Computer Science 2011(Jul.)
Presenter:Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama

Mizarによる数論アルゴリズムの形式化と検証
ライフインテリジェンスとオフィス情報システム研究会 LOIS2011 38 69～74 2011
Presenter:青木祥希,岡崎裕之,師玉康成

Formalization of Probability and Random Sampling on a Finite and Discrete Sample Space Using the Mizar Proof Checker
2010 International Conference on Foundations of Computer Science 2010(Jul.)
Presenter:Kenichi Arai, Nobuaki Kondo, Hiroyuki Okazaki

An evolutionary multiobjective approach to design highly non-linear Boolean functions
Genetic and Evolutionary Computation Conference (GECCO 2007) 2007
Presenter:Hernan E. Aguirre, Hiroyuki Okazaki, Yasushi Fuwa

A watermarking scheme using background pattern to protect printed documents
Proc. International Workshop on Nonlinear Circuits and Signal Processing (NCSP 2007) 2007
Presenter:Katsuki Kobayashi, Kiyoshi Tanaka, Hernan Aguirre, Hiroyuki Okazaki, Hisayoshi Kunimune,Katsumi Wasaki, Masaaki Niimura, Yasushi Fuwa

メタリング署名
情報セキュリティ研究会 ISEC2005 36 201～204 2005
Presenter:岡崎裕之, 境隆一, 笠原正雄

リンク可能なグループ署名に関する考察
情報セキュリティ研究会 ISEC2003 55 35～38 2003
Presenter:岡崎裕之, 境隆一, 柴山潔, 笠原正雄

ペアリングを用いたグループ署名に関する2，3の考察
情報セキュリティ研究会 ISEC2002 64 53～60 2002
Presenter:岡崎裕之, 境隆一, 柴山潔, 笠原正雄

ベイユ・テイトペアリングを用いたグループ署名
情報セキュリティ研究会 ISEC2001 108 105～108 2001
Presenter:境隆一, 岡崎裕之, 笠原正雄

MISC
Formal Definition of Probability and Probabilistic Function on Finite and Discrete Sample Space for Proving Security of Cryptographic Systems Using Mizar.
2011 Joint Mathematics Meetings (JMM2011),(1067-94-740):156 2011(Jan. 09)
Author:Hiroyuki Okazaki, Yasunari Shidama,Yuichi Futa

Meta Ring Signature Scheme
Cryptology ePrint Archive,(2005/310) 2005
Author:H. Okazaki, R. Sakai and M.Kasahara

Research Activities: Journal Reviewer
2006- , 電子情報通信学会
2006- , 日本応用数理学会

Shinshu University Researcher Directory

Okazaki Hiroyuki

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Okazaki　Hiroyuki