Solving the MQ Problem Using Gr"{o}bner Basis Techniques,'' IEICE Trans. Fundamentals, Vol.E104-A, No.135--142 (2021) (with Takuma Ito, Naoyuki Shinohara)
An Efficient F4-style Based Algorithm to Solve MQ Problems,'' Proc. of IWSEC2019, LNCS11689 , Springer, pp.37 -- 52, (2019) (with Takuma Ito, Naoyuki Shinohara)
Quadratic Frobenius pseudoprimes with respect to $x^{2}+5x+5$, JSIAM Letters, Vol.11, pp.53--55 (2019) (with Saki Nagashima, Naoyuki Shinohara)
A note on the prime factorization method by Nemec et al., JSIAM Letters, Vol.11, pp.41--44 (2019) (with Osamu Kikuchi)
Faster Explicit Formulae for Computing Pairings via Elliptic Nets and Their Parallel Computation, Proc. IWSEC2016, LNCS9836, pp.319--334, Springer (2016) (with Hiroshi Onuki, Tadanori Teruya, Naoki Kanayama)
The optimal ate pairing over the Barreto-Naehrig curve via parallelizing elliptic nets, JSIAM Letters, Vol.8, pp.9--12 (2016) (with Hiroshi Onuki, Tadanori Teruya, Naoki Kanayama)
A small secret exponent attack on cryptosystems using Dickson polynomials, JSIAM Letters, Vol.7, pp.41--43 (2015) (with Akihiko Onishi, Yukihiro Uchida)
Computing fixed argument pairings with the elliptic net algorithm, JSIAM Letters, Vol.6, pp.69--72 (2014) (with Yang Liu, Naoki Kanayama, Kazutaka Saito, Tadanori Teruya, Eiji Okamoto)
Primality testing of Woodall numbers, JSIAM Letters, Vol.6, pp.1--4 (2014) (with kazuki Azami)
Scalar multiplication for twisted Edwards curves using the extended double-base number system, JSIAM Letters, Vol.6, pp.37--39 (2014) (with Yasunori MIneo)
The elliptic curve Diffie-Hellman problem and an equivalent hard problem for elliptic divisibility sequences, JSIAM Letters, Vol.6, pp.5--7 (2014) (with Junichi Yarimizu, Yukihiro Uchida)
The Tate-Lichtenbaum Pairing on a Hyperelliptic Nets, Proceeding of Pairing2012, LNCS7708, pp. 218-233, Springer (2012) (with Yukihiro Uchida)
An integer factoring algorithm based on Elliptic Divisibility Sequences, JSIAM Letters, Vol.4, pp.21--23 (2012) (with Naotoshi Sakurada, Junichi Yarimizu, Naoki Ogura)
A note on the pairing computation using normalized Miller functions, IEICE Trans. Fundamentals, Vol.E95-A, No.1, pp.196--203 (2012) (with Naoki Ogura, Naoki Kanayama, Eiji Okamoto)
An Improvement of Key Generation Algorithm for Gentry's Homomorphic Encryption Scheme from Ideal Lattices, J. of Math-for-Industry, Vol.3 (2011A-1), pp.99--106 (2011) (with Naoki Ogura, Go Yamamoto, Tetsutaro Kobayashi)
On the reduction attack against the algebraic surface public-key cryptosystem(ASC04), JSIAM Letters, Vol.3, pp.53--56 (2011) (with Satoshi Harada, Yuichi Wada, Hiro-o Tokunaga)
A Key Generation Algorithm for Gentry's Lattice-Based Homomorphic Encryption Scheme, Proc. of IWSEC2010, LNCS6434, pp.70-83, Springer-Verlag (2010) (with Naoki Ogura, Go Yamamoto, Tetsutaro Kobayashi)
Cryptanalysis of the Birational Permutation Signature Scheme over a Non-commutative Ring, JSIAM Letters, Vol.2, pp.85-88 (2010) (with Naoki Ogura)
On Patarin's Attack against the $ell$IC Scheme, IEICE Trans. Fundamentals, Vol.E93-A, No.1, pp.34-41 (2010) (with Naoki Ogura)
On the Implementation of the Attack against the Signature Scheme SFLASH, Trans. of the JSIAM, Vol.19, No.4, pp.433-445 (2009) (with Naoki Ogura, Ken Nakamula)
Simple Remarks on Carmichael Numbers, IEICE Trans. Fundamentals, Vol.E92-A, No.1, pp. 326-328 (2009)
Remarks on the Attack of Fouque et al. against the lIC Scheme, Proc. of IWSEC2008, LNCS 5312, pp.34-48, Springer (2008) (with Naoki Ogura)
The Vanstone-Zuccherato Schemes Revisited, IEICE Trans. Fundamentals, Vol.E90-A, No.12, pp.2903-2907 (2007)(with N. Kanayama)
Efficient, Non-Optimistic Secure Circuit Evaluation Based on the ElGamal Encryption and Its Applications, IEICE Trans. Fundamentals, Vol.E90-A, No.1, pp.128-138 (2007) (with Koji Chida, Go Yamamoto, Koutarou Suzuki, Noburou Taniguchi, Osamu Shionoiri and Atsushi Kanai)
Candidate One-Way Functions on Non-Supersingular Elliptic Curves, IEICE Trans. Fundamentals E89-A, No. 1, pp.144-150 (2006) (with Taiichi Saito, Fumitaka Hoshino, Tetsutaro Kobayashi)
Analysys of Baby-Step Giant-Step Algorithms for Non-uniform Distributions,　IEICE Trans. Fundamentals E87-A, No.1, pp.10-17 (2004) (with Koh-ichi Nagao, Naoki Kanayama, Kazuto Matsuo)
Generating Secure Genus Two Hyperelliptic Curves Using Elkies' Point Counting Algorithm, IEICE Trans. Fundamentals E86-A, No.4, pp.919-927 (2003) (with Naoki Kanayama, Koh-ichi Nagao)
Nonuniform polynomial-time algorithm to solve decisional Diffie-Hellman problem in finite fields under conjecture, Proc. CT-RSA 2002, pp.290-299, LNCS2271, Springer-Verlag, pp.290-299 (2002) (with Qi Cheng)
Quantum Public-Key Cryptosystems, Proc. CRYPTO 2000,　LNCS1880, pp.147-165, Springer-Verlag (2000) (with Tatsuaki Okamoto, Keisuke Tanaka)

The 14th International Workshop on Security (IWSEC 2019) Best Paper Award

日本数学会、電子情報通信学会、日本応用数理学会、情報処理学会 各会員
日本応用数理学会 理事、監事、代表会員 歴任
日本応用数理学会「数論アルゴリズムとその応用」研究部会主査

2006-2008年度CRYPTREC暗号技術調査ワーキンググループ（公開鍵暗号）委員

• 応用数理概論Ⅱ
• 応用数理情報概論II
• 応用数理特別講義Ⅲ
• ※応用数理概論（3）
• 応用数理特論2
• 先端応用数理特論2
• 応用数理特別講義1
• 先端応用数理特別講義1
• 応用数理特別講義2
• 先端応用数理特別講義2
• 情報数理科学特論 2
• 情報数理科学特論 2
• 計算の理論

• 組織再編前旧課程の同時開講科目等が含まれており、掲載されている全ての科目を開講するわけではありません。