Title | Author | International Conference | Volume | Page | Year | Venue |
---|---|---|---|---|---|---|

Uniform Binary Sequence Generated over Odd Characteristic Field | Y. Kodera, T. Miyazaki, T. Kusaka, A. Md. Arshad, Y. Nogami, S. Uehara | International Conference on Information Technology | ICIT2017 | 2017/12/28 | Singapore | |

Solving 114-bit ECDLP for a Barreto-Naehrig Curve | Takuya Kusaka, Sho Joichi, Ken Ikuta, Md. Al-Amin Khandaker, Yasuyuki Nogami, Satoshi Uehara, Nariyoshi Yamai, and Sylvain Duquesne | The 20th Annual International Conference on Information Security and Cryptology | ICISC2017 | 2017/11/30 | Seoul, Korea | |

Study on reduction on average computational complexity of GMD decoding using property of bounded distance decoding | S. Ueda, T. Kusaka | The 8th International Workshop on Advances in Networking and Computing | WANC 2017 | 2017/11/22 | Aomori, Japan | |

An ECC implementation with a twisted Montgomery curve over Fq^32 on an 8-bit microcontroller | Yuta Hashimoto, Md. Al-Amin Khandaker, Yuta Kodera, Taehwan Park, Takuya Kusaka, Howon Kim and Yasuyuki Nogami | 14th International Workshop on Information and Communication Security | WICS 2017 | 2017/11/22 | Aomori, Japan | |

An Efficient Implementation of Trace Calculation over Finite Field for a Pseudorandom Sequence | Y. Kodera, T. Kusaka, T. Miyazaki, M. A. Khandaker, Y. Nogami, S. Uehara | The 8th International Workshop on Advances in Networking and Computing | WICS 2017 | 2017/11/22 | Aomori, Japan | |

Linear Complexity of Pseudo Random Binary Sequence Generated by Trace Function and Legendre Symbol Over Proper Sub Extension Field | A. M. Arshad, T. Miyazaki, S. Heguri, Y. Nogami, S. Uehara, R. H. Morelos-Zaragoza | The 8th International Workshop on Signal Design and Its Applications in Communications | IWSDA 2017 | 84-88 | 2017 | Sapporo, Japan |

Efficient Pairing-based Cryptography on Raspberry pi | Yuki Nanjo, Md. Al-Amin Khandaker, Takuya Kusaka and Yasuyuki Nogami | 2017 the 7th International Conference on Communication and Network Security | ICCNS2017 | 2017 | Tokyo, Japan | |

Effcient Optimal Ate Pairing at 128-bit Security Level | Md. Al-Amin Khandaker, Yuki Nanjo, Loubna Ghammam, Sylvain Duquesne , Yasuyuki Nogami, Yuta Kodera | INDOCRYPT 2017 | Progress in Cryptology – INDOCRYPT 2017 LNCS 10698 | 186-205 | 2017 | Chennai, India |

Some Properties of Z_4 Sequences Obtained by Using the Gray Code Mapping from Two Binary M-Sequences | M. Goto, S. Uehara, Y. Nogami | The 8th International Workshop on Signal Design and Its Applications in Communications | IWSDA 2017 | 182-186 | 2017 | Sapporo, Japan |

Frobenius Map and Skew Frobenius Map for Ate-based Pairing over KSS Curve of Embedding Degree 16 | Md. Al-Amin Khandaker, Yasuyuki Nogami | The 32nd International Technical Conference on Circuits / Systems, Computers and Communications | ITC-CSCC2017 | 599-602 | 2017 | Busan, Korea |

Implementation and Evaluation of Elliptic Curve Discrete Logarithm Problem with Android Smartphone | Sho joichi, Yasuyuki Nogami, Thomas H. Austin | The 32nd International Technical Conference on Circuits / Systems, Computers and Communications | ITC-CSCC2017 | 299-301 | 2017 | Busan, Korea |

Estimation of computational complexity of Pollard's rho method based attack for solving ECDLP over Barreto-Naehrig curves | Ken Ikuta, Takuya Kusaka, Md. Al-Amin Khandaker, Yasuyuki Nogami, and Thomas H. Austin | The 32nd International Technical Conference on Circuits / Systems, Computers and Communications | ITC-CSCC2017 | 592-595 | 2017 | Busan, Korea |

Multi-value Sequence Generated by Trace Function and Power Residue Symbol Over Proper Sub Extension Field | Ali Md. Arshad, Takeru Miyazaki, Yasuyuki Nogami, Satoshi Uehara, and Robert H. Morelos-Zaragoza | International Conference on Consumer Electronics – Taiwan 2017 | ICCE-TW 2017 | CD-ROM | 2017 | Taipei, Taiwan |

Distribution of Bit Patterns on Multi-value Sequence over Odd Characteristics Field | Y. Kodera, T. Miyazaki, Md. A. Khandaker, A. Md. Arshad, Y. Nogami, S. Uehara | International Conference on Consumer Electronics – Taiwan 2017 | ICCE-TW2017 | CD-ROM | 2017 | Taipei, Taiwan |

Linear Complexity of Generalized NTU Sequences | K. Tsuchiya, C. Ogawa, Y. Nogami, S. Uehara | The 8th International Workshop on Signal Design and Its Applications in Communications | IWSDA 2017 | 74-78 | 2017 | Sapporo, Japan |

A Consideration of an Efficient Calculation over the Extension Field of Degree 3 and 4 for Elliptic Curve Pairing Cryptography | Yuta Kodera, Akihiro Sanada, Sylvain Duquesne，Masaaki Shirase, Yasuyuki Nogami | ISITA2016 | 2016 | Monterey | ||

Parallel Implementations of LEA, Revisited | H. Seo, Y. Nogami, et al. | The 17th Workshop on Information Security Applications | WISA2016 | preprint | 2016 | Jeju, Korea |

Isomorphic Mapping for Ate-Based Pairing over KSS Curve of Embedding Degree 18. | Md. Al-Amin Khandaker, Yasuyuki Nogami | Third International Symposium on Computing and Networking CANDAR2016 | CANDAR2016 | 629-634 | 2016 | Hiroshima, Japan |

Linear Complexity of Signed Binary Sequence Over Odd Characteristic Field | Ali Md. Arshad, Hiroto Ino, Chiaki Ogawa, and Yasuyuki Nogami | The 19th International Conference on Computer and Information Technology | ICCIT 2016 | 266-269 | 2016 | Dhaka, Bangladesh |

Auto and Cross Correlation of Well Balanced Sequence over Odd Characteristic Field. | Ali Md. Arshad, Yasuyuki Nogami, Hiroto Ino, Satoshi Uehara | Third International Symposium on Computing and Networking | CANDAR2016 | 604-609 | 2016 | Hiroshima, Japan |

A New Approach for Generating Well Balanced Pseudo-random Signed Binary Sequence Over Odd Characteristic Field | A. Md. Arshad, Y. Nogami, C. Ogawa, H. Ino, S. Uehara, R. Morelos-Zaragoza, and K. Tsuchiya | International Symposium on Information Theory and its Applications 2016 | ISITA2016 | preprint | 2016 | Monterey, USA |

Pseudo Random Binary Sequence Generated by Trace and Legendre Symbol with Non Primitive Element in Fp2 | C. Ogawa, A. Md. Arshad, Y. Nogami, S. Uehara, K. Tsuchiya, and R. Morelos-Zaragoza | 2016 International Symposium on Nonlinear Theory and Its Applications | NOLTA2016 | preprint | 2016 | Shizuoka, Japan |

An Improvement of Optimal Ate Pairing on KSS Curve with Pseudo 12-Sparse Multiplication. | Md. Al-Amin Khandaker, Hirotaka Ono, Yasuyuki Nogami, Masaaki Shirase, Sylvain Duquesne | International Conference on Information Security and Cryptology 2016 | ICISC 2016 | 208-219 | 2016 | Seoul, Korea |

Efficient Scalar Multiplication for Ate Based Pairing over KSS Curve of Embedding Degree 18 | K. Md. Al-Amin, Y. Nogami, H. Seo, and S. Duquesne | The 17th Workshop on Information Security Applications | WISA2016 | preprint | 2016 | Jeju, Korea |

Periodic Autocorrelation of a Signed Binary Sequence Additively Generated With Trace Over Odd Characteristic Extension Field | Y. Nogami and S. Uehara | The 31th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2016 | 633-636 | 2016 | Okinawa, Japan |

Efficient Operation over F(2^4)^2 for Security Technologies | N. Jitsui, Y. Nogami, H. Seo, and N. Begum | International Conference on Consumer Electronics – Taiwan 2016 | ICCE-TW2016 | online | 2016 | Nantou, Taiwan |

A Pseudo-random Binary Sequence Generated by Using Primitive Polynomial of Degree 2 over Odd Characteristic Field Fp | Ali. Md. Arshad and Y. Nogami | International Conference on Consumer Electronics – Taiwan 2016 | ICCE-TW2016 | online | 2016 | Nantou, Taiwan |

An Improvement of Scalar Multiplication on Elliptic Curve Defined over Extension Field Fq2 | K. Md. Al-Amin and Y. Nogami | International Conference on Consumer Electronics – Taiwan 2016 | ICCE-TW2016 | CD-ROM | 2016 | Nantou, Taiwan |

A Consideration of Towering Scheme for Efficient Arithmetic Operation over Extension Field of Degree 18 | Md. Al-Amin Khandaker, Yasuyuki Nogami | The 19th International Conference on Computer and Information Technology (ICCIT) | ICCIT-2016 IEEE Explore | 276-281 | 2016 | Dhaka, Bangladesh |

Secure Binary Field Multiplication | H. Seo, C. Chen, Z. Liu, Y. Nogami, T. Park, J. Choi, and H. Kim | Workshop on Information Security Applications 2015 | WISA2015 | 161-173 | 2015 | Jeju Island, Korea |

Binary Field Multiplication on ARMv8. | Hwajeong Seo, Zhe Liu, Yasuyuki Nogami, Jongseok Choi, Howon Kim: | IACR Cryptology ePrint Archive 2015 | IACR Cryptology 2015 | 688 (2015) | 2015 | |

Long Period Sequences Generated by the Logistic Map over Finite Fields with Control Parameter Four. | Kazuyoshi Tsuchiya, Yasuyuki Nogami | CoRR abs/1510.03650 (2015) | 2015 | |||

An Implementation of Credibility-based Job Scheduling Method in Volunteer Computing Systems | S. Tani, K. Watanabe, Y. Nogami, and M. Fukushi | 2015 IEEE International Conference on Consumer Electronics – Taiwan | ICCE-TW2015 | 37-38 | 2015 | Taiwan |

Examining the Linear Complexity of Multi-value Sequence generated by Power Residue Symbol | H. Ino, Y. Nogami, N. Begum, S. Uehara, R. Morelos-Zaragoza, and K. Tsuchiya | 2015 International Conference on Information Science and Security | ICISS2015 | CD-ROM | 2015 | Seoul, Korea |

A Dynamic Job Scheduling Method for Reliable and High-Performance Volunteer Computing | S. Yasuda, Y. Nogami, and M. Fukushi | 2015 International Conference on Information Science and Security | ICISS2015 | CD-ROM | 2015 | Seoul, Korea |

A Consideration on Crosscorrelation of a Kind of Trace Sequences over Finite Field | H. Ino, Y. Nogami, N. Begum, S. Uehara, R. Morelos-Zaragoza, and K. Tsuchiya | Third International Symposium on Computing and Networking CANDAR2015 | CANDAR2015 | 484-486 | 2015 | Sapporo, Japan |

Volunteer Computing for Solving an Elliptic Curve Discrete Logarithm Problem | S. Kajitani, Y. Nogami, S. Miyoshi, and T. Austin | Third International Symposium on Computing and Networking CANDAR2015 | CANDAR2015 | 122-126 | 2015 | Sapporo, Japan |

Faster ECC over F2^521-1 (feat. NEON) | H. Seo, Z. Liu, Y. Nogami, J. Choi, and H. Kim | International Conference on Information Security and Cryptology 2015 | ICISC2015 | 169-181 | 2015 | Seoul, Korea |

Faster ECC over F2571 (feat. PMULL). | Hwajeong Seo, Zhe Liu, Yasuyuki Nogami, Jongseok Choi, Howon Kim | IACR Cryptology ePrint Archive 2015 | IACR Cryptology 2015 | 745 (2015) | 2015 | |

Periods of Sequences Generated by the Logistic Map over Finite Fields with Control Parameter Four | K. Tsuchiya and Y. Nogami | Seventh International Workshop on Signal Design and its Applications in Communications | IWSDA2015 | 155-159 | 2015 | Bengaluru, India |

Highly Efficient GF(28) Inversion Circuit Based on Redundant GF Arithmetic and Its Application to AES Design | R. Ueno, N. Homma, Y. Sugawara, Y. Nogami, and T. Aoki | Workshop on Cryptographic Hardware and Embedded Systems 2015 | CHES2015 | 63-80 | 2015 | Saint Malo, France |

Dynamic Switching of Job Selection Methods in Volunteer Computing | S. Yasuda, Y. Nogami, and M. Fukushi | The 30th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2015 | CD-ROM | 2015 | Seoul, Korea |

Efficient Calculation of Pairing with Supersingular Curve on 2-dimentional Extension Field | A. Kumano, Y. Nogami, and M. Shirase | The 30th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2015 | CD-ROM | 2015 | Seoul, Korea |

An Application of Power Residue Symbol for Generating Multi-value Sequence over Odd Characteristic Field | H. Ino, Y. Nogami, and S. Uehara | The 30th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2015 | CD-ROM | 2015 | Seoul, Korea |

Solving 94-bit ECDLP with 70 Computers in Parallel | S. Miyoshi, Y. Nogami, T. Kusaka, N. Yamai | 2015 International Conference of Pairing Based Cryptography | ICPBC2015 | CD-ROM | 2015 | Paris, France |

An Efficiency Improvement in an Anonymous Credential System for CNF Formulas on Attributes with Constant-size Proofs | N. Begum, T. Nakanishi, and Y. Nogami | 2015 International Conference on Electrical Engineering and Information & Communication Technology | ICEEICT2015 | CD-ROM | 2015 | Dhaka, Bangladesh |

Efficient Implementation of NTRU over All One Polynomial Ring with CVMA | K. Misumi and Y. Nogami | 2015 IEEE International Conference on Consumer Electronics – Taiwan | ICCE-TW2015 | 384-385 | 2015 | Taiwan |

Reduction of Authentication Time in an Anonymous Credential System with Proofs for Monotone Formulas on Attributes | N. Begum, T. Nakanishi, and Y. Nogami | 2015 IEEE International Conference on Consumer Electronics – Taiwan | ICCE-TW2015 | 376-377 | 2015 | Taiwan |

A Performance Evaluation of Web-based Volunteer Computing using Applications with GMP | S. Kajitani, Y. Nogami, M. Fukushi, and N. Amano | 2015 IEEE International Conference on Consumer Electronics – Taiwan | ICCE-TW2015 | 41-42 | 2015 | Taiwan |

An Improvement of Tate Pairing with Supersingular Curve | A. Kumano and Y. Nogami | 2015 International Conference on Information Science and Security | ICISS2015 | CD-ROM | 2015 | Seoul, Korea |

Experimental Evaluation of the Efficiency of Associative Rational Points for Random Walks on ECDLP | Y. Kono, Y. Nogami, and T. Kusaka | 14th International Symposium on Communications and Information Technologies | ISCIT2014 | 366-367 | 2014 | Seoul, Korea |

Improved Modular Multiplication for Optimal Prime Fields | H. Seo, Z. Liu, Y. Nogami, J. Choi, and H. Kim | Workshop on Information Security Applications 2014 | WISA2014 | 150-161 | 2014 | Seoul, Korea |

An Efficient Generation of Geometric Sequences Defined with Trace and Legendre Symbol | Y. Nogami, K. Tada, and S. Uehara | International Symposium on Information Theory and its Applications 2014 | ISITA2014 | 732-734 | 2014 | Melbourne, Australia |

A Study of an Automorphism on the Logistic Maps Over Prime Fields | T. Miyazaki, S. Araki, S. Uehara, and Y. Nogami | International Symposium on Information Theory and its Applications 2014 | ISITA2014 | 727-731 | 2014 | Melbourne, Australia |

Pairing-based Cryptography for Homomorphic Cryptography | Y. Nogami and S. Miyoshi | International Symposium on Information Theory and its Applications 2014 | ISITA2014 | 318-321 | 2014 | Melbourne, Australia |

Discrete Logarithms for Torsion Points on Elliptic Curve of Embedding Degree 1 | Y. Nogami and H. Seo | International Conference on Information Security and Cryptology 2014 | ICISC2014 | 69-83 | 2014 | Seoul, Korea |

An Application of XTR for the Discrete Logarithm Problem on Barreto-Naehrig Curve | Y. Kono and Y. Nogami | Second International Symposium on Computing and Networking | CANDAR2014 | 519-524 | 2014 | Shizuoka, Japan |

Collision Detection with DNS in Rho Method on BN Curve | S. Miyoshi and Y. Nogami | 2014 IEEE International Conference on Consumer Electronics – Taiwan | ICCE-TW2014 | CD-ROM | 2014 | Taipei, Taiwan |

A Peer-to-Peer Communication Function among Web Browsers for Web-based Volunteer Computing | M. Kuhara, S. Hukushi, N. Amano, and Y. Nogami | 14th International Symposium on Communications and Information Technologies | ISCIT2014 | 383-387 | 2014 | Seoul, Korea |

A Job Scheduling Method Based on Expected Probability of Completion of Voting in Volunteer Computing | Y. Miyakoshi, K. Watanabe, M. Fukushi, and Y. Nogami | Second International Symposium on Computing and Networking | CANDAR2014 | 399-405 | 2014 | Shizuoka, Japan |

Exponentiation Inversion Problem Reduced from Fixed Argument Pairing Inversion on Twistable Ate Pairing and Its Difficulty | S. Akagi and Y. Nogami | The 9th International Workshop on Security | IWSEC2014 | 240-249 | 2014 | Aomori, Japan |

Pseudo 8-Sparse Multiplication for Efficient Ate-based Pairing on Barreto-Naehrig Curve | Y. Mori, S. Akagi, Y. Nogami, and M. Shirase | Pairing 2013 | CD-ROM | 2013 | Beijing, China | |

A Smaller Final Exponentiation for Tate and Ate Pairings with Barreto-Naehrig Curve | Y. Kono, T. Sumo, and Y. Nogami | 16th International Conference on Network-Based Information Systems | NBiS2013 | CD-ROM | 2013 | Gwangju, Korea |

A Binarization of Geometric Sequences with Legendre Symbol and Its Autocorrelation | Y. Nogami, K. Tada, and S. Uehara | Sixth International Workshop on Signal Design and Its Applications in Communications | IWSDA2013 | 28-31 | 2013 | Tokyo, Japan |

Very Short Critical Path Implementation of AES with Direct Logic Gates | K. Nekado, Y. Nogami, and K. Iokibe | The 7th International Workshop on Security | IWSEC2012 | 51-68 | 2012 | Fukuoka, Japan |

The Power Root Calculation for the Exponentiation Inversion Problem | T. Sumo, and Y. Nogami | 7th International Conference on Computing and Convergence Technology | ICCCT2012 | CD-ROM | 2012 | Seoul, Korea |

The Pollard’s Rho Method with XTR Group on G3 over Barreto-Naehrig Curve | Y. Takai, K. Nekado, and Y. Nogami | 7th International Conference on Computing and Convergence Technology | ICCCT2012 | CD-ROM | 2012 | Seoul, Korea |

A Relation between Group Order of Elliptic Curve and Extension Degree of Definition Field | T. Sumo, Y. Mori, Y. Nogami, T. Matsushima, and S. Uehara | World Telecommunications Congress | WTC2012 | CD-ROM | 2012 | Miyazaki, Japan |

A Multiplication Algorithm with Square-free Gauss Period Normal Basis | Y. Nogami and K. Nekado | 8th International Conference on Computing Technology and Information Management | ICCM2012 | 136-140 | 2012 | Seoul, Korea |

Memory Saving Implementation of Pollard's Rho Method | Y. Mori, T. Sumo, K. Nekado, Y. Nogami, and S. Uehara | The 27th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2012 | CD-ROM | 2012 | Sapporo, Japan |

Representative Decision Efficient for Pollard’s Rho Method on G2 over Barreto-Naehrig Curve | K. Nekado, Y. Mori, T. Sumou, and Y. Nogami | The 27th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2012 | CD-ROM | 2012 | Sapporo, Japan |

A Probabilistic Method for Generating Primitive Polynomials of Degree 2n over Odd Characteristic Fields | Y. Nogami, Y. Takai, S. Kobayashi, T. Sugimura, and S. Uehara | The 27th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2012 | CD-ROM | 2012 | Sapporo, Japan |

Pollard’s Rho Method with Skew Frobenius Mapping for Ate Pairing over BW Curve | T. Arii, Y. Nogami, T. Matsushima, and S. Uehara | The 27th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2012 | CD-ROM | 2012 | Sapporo, Japan |

Memory-saving and Efficient Implementation of Cyclic Vector Multiplication Algorithm with Gauss Period Normal Basis | R. Takahashi, Y. Takai, K. Nekado, Y. Nogami, H. Kagotani, and T. Narita | The 27th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2012 | CD-ROM | 2012 | Sapporo, Japan |

Rho Method with Period k on Non-symmetric Ordinary Pairings of Embedding Degree k -Especially for Barreto-Naehrig Curves- | Y. Nogami, Y. Takai, T. Matsushima, and S. Uehara | International Workshop on Advances in Information Security 2011 | WAIS2011 | CD-ROM | 2011 | Seoul, Korea |

Orders of Self-reciprocal Irreducible Polynomials over Odd Characteristic Fields | Y. Takai, Y. Nogami, K. Yoshikawa, S. Kobayashi, and T. Sugimura | The 26th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2011 | 1097-1099 | 2011 | Gyeongju, Korea |

Some Properties of Non-Symmetric Pairing-Friendly Curves Whose Order Is Equal to the Extension Degree | T. Sumo, Y. Mori, and Y. Nogami | The 26th International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2011 | 1093-1096 | 2011 | Gyeongju, Korea |

Detailed Cost Estimation of CNTW Attack against EMV Signature Scheme | T. Izu, Y. Morikawa, Y. Nogami, Y. Sakemi, and M. Takenaka | Real-Life Cryptographic Protocols 2011 | RLCP2011 | 13-26 | 2011 | St. Lucia |

A Multiplicative Extension for Discrete Logarithms on Ordinary Pairing-friendly Curves of Embedding Degree 1 | Y. Nogami, E. Yanagi, T. Sumo, T. Matsushima, and S. Uehara | International Workshop on Advances in Information Security 2011 | WAIS2011 | CD-ROM | 2011 | Seoul, Korea |

Ordinary Pairing Friendly Curve of Embedding Degree 1 Whose Order Has Two Large Prime Factors | T. Izuta, Y. Nogami, and Y. Morikawa | TENCON 2010 | CD-ROM | 2010 | Fukuoka, Japan | |

Accelerating Cross Twisted Ate Pairing with Ordinary Pairing Friendly Curve of Composite Order That Has Two Large Prime Factors | Y. Sakemi, K. Nishii, T. Izuta, Y. Nogami, and Y. Morikawa | First International Workshop on Trustworthy Computing | TwC2010 | CD-ROM | 2010 | Gifu, Japan |

Efficient Squaring Algorithm in 2-nd Tower Field Available for Various Pairing-based Cryptographies | K. Nekado, T. Yuasa, Y. Nogami, and Y. Morikawa | First International Workshop on Trustworthy Computing | TwC2010 | CD-ROM | 2010 | Gifu, Japan |

Mixed Bases for Efficient Inversion in F(2^2)^2)^2 and Conversion Matrices of SubBytes of AES | Y. Nogami, K. Nekado, T. Toyota, N. Hongo, and Y. Morikawa | Workshop on Cryptographic Hardware and Embedded Systems 2010 | CHES2010 | 234-247 | 2010 | Santa Barbara, USA |

Width-3 Joint Sparse Form | K. Okeya, H. Kato, and Y. Nogami | 2010 Information Security, Practice and Experience | ISPEC2010 | 67-84 | 2010 | Seoul, Korea |

Accelerating Twisted Ate Pairing with Frobenius Map, Small Scalar Multiplication, and Multi-pairing | Y. Sakemi, S. Takeuchi, Y. Nogami, and Y. Morikawa | The 12th International Conference on Information Security and Cryptology | ICISC2009 | 47-64 | 2009 | Seoul, Korea |

Two Improvements of Twisted Ate Pairing with Barreto-Naehrig Curve by Dividing Miller’s Algorithm | Y. Sakemi, H. Kato, S. Takeuchi, Y. Nogami, and Y. Morikawa | Fourth International Conference on Computer Sciences and Convergence Information Technology | ICCIT2009 | 1180-1186 | 2009 | Jeju, Korea |

A Relation between Self-Reciprocal Transformation and Normal Basis over Odd Characteristic Field | S. Kobayashi, Y. Nogami, and T. Sugimura | Fourth International Conference on Computer Sciences and Convergence Information Technology | ICCIT2009 | 999-1004 | 2009 | Jeju, Korea |

How to Implement Furukawa–Imai Group Signature Scheme with Barreto-Neahrig Curve | S. Takeuchi, Y. Sakemi, T. Okimoto, Y. Nogami, T. Nakanishi, J. Furukawa, and K. Sako | 4th International Workshop on Security | IWSEC2009 | 31-47 | 2009 | Toyama, Japan |

How to Generate a Secure Composite Order Ordinary Pairing-friendly Curve of Embedding Degree 3 | Y. Nogami, K. Nishii, Y. Sakemi, H. Kato, and Y. Morikawa | The 2009 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2009 | 1474-1477 | 2009 | Jeju, Korea |

Inversion with Normal Bases in Tower Field F((2^2)^2)^2 for S-Box of AES | Y. Nogami, M. Hagio, E. Yanagi, and Y. Morikawa | The 2009 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2009 | 1337-1338 | 2009 | Jeju, Korea |

Determining Basis Conversion Matrix without Gauss Period Normal Basis | Y. Nogami, E. Yanagi, M. Hagio, and Y. Morikawa | The 2009 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2009 | 1331-1332 | 2009 | Jeju, Korea |

Cross Twisted Xate Pairing with Barreto-Naehrig Curve for Multi-pairing Technique | Y. Sakemi, Y. Nogami, H. Kato, and Y. Morikawa | 2009 IEEE International Symposium on Information Theory | ISIT2009 | 2386-2390 | 2009 | Seoul, Korea |

Thread Computing for Miller’s algorithm of Pairing | S. Takeuchi, Y. Sakemi, Y. Nogami, and Y. Morikawa | The 13th IEEE International Symposium on Consumer Electronics | ISCE2009 | 182-186 | 2009 | Kyoto, Japan |

An Improvement of Twisted Ate Pairing with Barreto-Naehrig Curve by using Frobenius Mapping | Y. Sakemi, H. Kato, Y. Nogami, and Y. Morikawa | Third 2008 International Conference on Convergence and Hybrid Information Technology 2008 | ICCIT2008 | 406-410 | 2008 | Busan, Korea |

An Implementation of Anonymous IEEE802.1X Authentication System for Wireless Networks | A. Sudarsono, T. Nakanishi, Y. Nogami, and N. Funabiki | the 10th Industrial Electronics Seminar 2008 | IES2008 | CD-ROM | 2008 | Surabaya, Indonesia |

Skew Frobenius Map and Efficient Scalar Multiplication for Pairing-Based Cryptography | Y. Sakemi, Y. Nogami, K. Okeya, H. Kato, and Y. Morikawa | 7th International Conference Cryptology and Network Security | CANS 2008 | 226-239 | 2008 | Hong Kong, China |

Systematic Generation of an Irreducible Polynomial of An Arbitrary Degree m over Fp Such That p > m | H. Nasu, Y. Nogami, S. Kobayashi, Y. Morikawa, and T. Sugimura | Third 2008 International Conference on Convergence and Hybrid Information Technology 2008 | ICCIT2008 | 478-485 | 2008 | Busan, Korea |

Efficient Pairings on Twisted Elliptic Curve | Y. Nogami, M. Akane, Y. Sakemi, and Y. Morikawa | Third 2008 International Conference on Convergence and Hybrid Information Technology 2008 | ICCIT2008 | 430-439 | 2008 | Busan, Korea |

An Improvement of Cyclic Vector Multiplication Algorithm | H. Kato, Y. Nogami, T. Yoshida, K. Nekado, S. Takeuchi, and Y. Morikawa | Third 2008 International Conference on Convergence and Hybrid Information Technology 2008 | ICCIT2008 | 401-405 | 2008 | Busan, Korea |

Integer Variable X-based Ate Pairing | Y. Nogami, M. Akane, Y. Sakemi, H. Kato, and Y. Morikawa | Pairing 2008 | 178-191 | 2008 | London, England | |

Extension Field for Ate Pairing with Freeman Curve | K. Nekado, H. Kato, M. Akane, Y. Nogami, and Y. Morikawa | The 23rd International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2008 | 653-656 | 2008 | Yamaguchi, Japan |

Fast Squaring in TypeI All One Polynomial Field | H. Kato, Y. Nogami, and Y. Morikawa | The 23rd International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2008 | 273-275 | 2008 | Yamaguchi, Japan |

An Improvement of Twisted Ate Pairing Using Integer Variable with Small Hamming Weight | Y. Sakemi, H. Kato, Y. Nogami, and Y. Morikawa | The 23rd International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2008 | 269-272 | 2008 | Yamaguchi, Japan |

Generating Irreducible Self-reciprocal Polynomials by Using Even Polynomial over Fq | S. Kobayashi, Y. Nogami, and T. Sugimura | The 23rd International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2008 | 121-124 | 2008 | Yamaguchi, Japan |

A Multiplication Algorithm in Fpm for Arbitrary Pairs of Characteristic p and Degree m Such That p > m | T. Yoshida, H. Katou, Y. Nogami, and Y. Morikawa | The 2nd Joint workshop on information security | JWIS2007 | CD-ROM | 2007 | Tokyo, Japan |

A Method for Constructing an Efficient Basis for Trace Calculation | H. Nasu, Y. Nogami, R. Namba, and Y. Morikawa | International Conference on Convergence Information Technology 2007 | ICCIT2007 | 229-234 | 2007 | Gyeongju, Korea |

A Method for Constructing a Self-Dual Normal Basis in Odd Characteristic Extension Field | H. Nasu, Y. Nogami, R. Namba, and Y. Morikawa | 8th International Conference on Finite Fields and Applications | Fq8 | CD-ROM | 2007 | Melbourne, Australia |

A High-Speed Square Root Algorithm in Extension Fields | H. Katou, F. Wang, Y. Nogami, and Y. Morikawa | The 9th International Conference on Information Security and Cryptology | ICISC2006 | 94-106 | 2006 | Busan, Korea |

A Method for Checking the Parity of (#Jc-1)/2 | M. Akane, Y. Nogami, and Y. Morikawa | The 2006 International Symposium on Information Theory and its Applications | ISITA2006 | CD-ROM | 2006 | Seoul, Korea |

Cyclic Vector Multiplication Algorithm Makes an Inversion in Fp3 Fastest | Y. Nogami, H. Katou, and Y. Morikawa | The 1st Joint workshop on information security | JWIS2006 | 513-524 | 2006 | Seoul, Korea |

A Basis Translation Matrix between Two Isomorphic Extension Fields via Optimal Normal Basis | R. Namba, Y. Nogami, and Y. Morikawa | The 1st Joint Workshop on Information Security | JWIS2006 | 431-445 | 2006 | Seoul, Korea |

Cyclic Vector Multiplication is Efficient for Small Extension Degrees | H. Katou, F. Wang, Y. Nogami, and Y. Morikawa | Second International Congress on Mathematical Software | ICMS2006 | CD-ROM | 2006 | Castro Urdiales, Spain |

Twist of Elliptic Curve with respect to Variable y | Y. Nogami and Y. Morikawa | The 2006 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2006 | CD-ROM | 2006 | Chiang Mai, Thailand |

A High-Speed Square Root Algorithm in Extension Fields | F. Wang, Y. Nogami, and Y. Morikawa | Second International Congress on Mathematical Software | ICMS2006 | CD-ROM | 2006 | Castro Urdiales, Spain |

A High-Speed Square Root Algorithm in Extension Fields GF(p2d) | F. Wang, Y. Nogami, and Y. Morikawa | The 2005 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2005 | CD-ROM | 2005 | Jeju, Korea |

A Method for Distinguishing the Two Candidate Elliptic Curves in CM Method | Y. Nogami and Y. Morikawa | The 7th International Conference on Information Security and Cryptology | ICISC2004 | 249-260 | 2005 | Seoul, Korea |

An Algorithm for Systematically Generating Irreducible Cubic Trinomials over Prime Field | Y. Nogami and Y. Morikawa | The 2005 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2005 | CD-ROM | 2005 | Jeju, Korea |

The Number of x’s such that x2+u, u ∈ Fp* Becomes a Quadratic Power Residue in Fp | F. Wang, Y. Nogami, and Y. Morikawa | The 2004 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2004 | CD-ROM | 2004 | Sendai, Japan |

A Classification of Irreducible Cubic Polynomials over Prime Field | Y. Nogami and Y. Morikawa | The 2004 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2004 | CD-ROM | 2004 | Sendai, Japan |

The parity of (#E-1)/2 | Y. Nogami and Y. Morikawa | The 2004 International Symposium on Information Theory and Its Applications | ISITA2004 | CD-ROM | 2004 | Parma, Italy |

A Fast Square Root Computation Using the Frobenius Mapping | F. Wang, Y. Nogami, and Y. Morikawa | Fifth International Conference on Information and Communications Security | ICICS2003 | 1-10 | 2003 | Inner-Mongolia, China |

A Fast Square Root Calculation for Elliptic Curve Cryptosystem | Y. Nogami and Y. Morikawa | The 2003 International Technical Conference on Circuits/Systems, Computers and Communications | ITC-CSCC2003 | 1420-1423 | 2003 | Seoul, Korea |

Fast Generation of Elliptic Curves with Prime Order over Extension Field of Even Extension Degree | Y. Nogami and Y. Morikawa | IEEE International Symposium on Information Theory | ISIT2003 | 18 | 2003 | Yokohama, Japan |

Fast Generation of Elliptic Curves with Prime Order over Fp2c | Y. Nogami and Y. Morikawa | Workshop on Coding and Cryptography | WCC2003 | 347-356 | 2003 | Paris, France |

Finite Extension Field with Modulus of All-One Polynomial and Expression of Its Elements for Fast Arithmetic Operations | Y. Nogami, A. Saito, and Y. Morikawa | The International Conference on Fundamentals of Electronics, Communications and Computer Sciences | ICFS2002 | 10-15 | 2002 | Tokyo, Japan |