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Okazaki Hiroyuki

Academic OrganizationAcademic Assembly School of Science and Technology Institute of EngineeringTEL
Education and Research OrganizationGraduate School of Science and TechnologyFAX
PositionAssociate ProfessorMail Address
Address4-17-1,Wakasato Nagano-City, Nagano, JapanWeb 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