Inefficacious Conditions of the Frobenius Primality Test and Grantham's Problem. - Naoyuki Shinohara (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2008)

Gröbner Basis Technique for Algebraic Formulas in Electron Correlation Theories. - Takeshi Osoekawa; Naoyuki Shinohara; Yuji Mochizuki; Kazuhiro Yokoyama (ICCSA Workshops, 2010)

Solving a 676-bit Discrete Logarithm Problem in GF(36n). - Takuya Hayashi 001; Naoyuki Shinohara; Lihua Wang 001; Shin'ichiro Matsuo; Masaaki Shirase; Tsuyoshi Takagi (IACR Cryptol. ePrint Arch., 2010)

Small Secret CRT-Exponent Attacks on Takagi's RSA. - Naoyuki Shinohara; Tetsuya Izu; Noboru Kunihiro (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2011)

Breaking Pairing-Based Cryptosystems Using η T Pairing over GF(397). - Takuya Hayashi 001; Takeshi Shimoyama; Naoyuki Shinohara; Tsuyoshi Takagi (ASIACRYPT, 2012)

Key Length Estimation of Pairing-Based Cryptosystems Using η T Pairing. - Naoyuki Shinohara; Takeshi Shimoyama; Takuya Hayashi 001; Tsuyoshi Takagi (ISPEC, 2012)

Breaking pairing-based cryptosystems using ηT pairing over GF(397). - Takuya Hayashi 001; Takeshi Shimoyama; Naoyuki Shinohara; Tsuyoshi Takagi (IACR Cryptol. ePrint Arch., 2012)

Key Length Estimation of Pairing-based Cryptosystems using ηT Pairing. - Naoyuki Shinohara; Takeshi Shimoyama; Takuya Hayashi 001; Tsuyoshi Takagi (IACR Cryptol. ePrint Arch., 2012)

Solving a 676-Bit Discrete Logarithm Problem in GF(36n). - Takuya Hayashi 001; Naoyuki Shinohara; Lihua Wang 001; Shin'ichiro Matsuo; Masaaki Shirase; Tsuyoshi Takagi (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2012)

Improvement of Faugère et al.'s Method to Solve ECDLP. - Yun-Ju Huang; Christophe Petit 001; Naoyuki Shinohara; Tsuyoshi Takagi (IWSEC, 2013)

Recovering RSA Secret Keys from Noisy Key Bits with Erasures and Errors. - Noboru Kunihiro; Naoyuki Shinohara; Tetsuya Izu (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2014)

A Unified Framework for Small Secret Exponent Attack on RSA. - Noboru Kunihiro; Naoyuki Shinohara; Tetsuya Izu (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2014)

Key Length Estimation of Pairing-Based Cryptosystems Using ηT Pairing over GF(3n). - Naoyuki Shinohara; Takeshi Shimoyama; Takuya Hayashi 001; Tsuyoshi Takagi (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2014)

On Generalized First Fall Degree Assumptions. - Yun-Ju Huang; Christophe Petit 001; Naoyuki Shinohara; Tsuyoshi Takagi (IACR Cryptol. ePrint Arch., 2015)

ECC Atomic Block against Strong Side-Channel Attacks Using Binary Curves. - Yusuke Takemura; Keisuke Hakuta; Naoyuki Shinohara (CANDAR Workshops, 2019)

An Efficient F_4 -style Based Algorithm to Solve MQ Problems. - Takuma Ito; Naoyuki Shinohara; Shigenori Uchiyama (IWSEC, 2019)

Quadratic Frobenius pseudoprimes with respect to $x^{2}+5x+5$. - Saki Nagashima; Naoyuki Shinohara; Shigenori Uchiyama (JSIAM Lett., 2019)

ECC Atomic Block with NAF against Strong Side-Channel Attacks on Binary Curves. - Yusuke Takemura; Keisuke Hakuta; Naoyuki Shinohara (Int. J. Netw. Comput., 2020)

The Present and Future of Discrete Logarithm Problems on Noisy Quantum Computers. - Yoshinori Aono; Sitong Liu; Tomoki Tanaka; Shumpei Uno; Rodney Van Meter; Naoyuki Shinohara; Ryo Nojima (CoRR, 2021)

Solving the MQ Problem Using Gröbner Basis Techniques. - Takuma Ito; Naoyuki Shinohara; Shigenori Uchiyama (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2021)

Polynomial selection for computing Gröbner bases. - Takuma Ito; Atsushi Nitta; Yuta Hoshi; Naoyuki Shinohara; Shigenori Uchiyama (JSIAM Lett., 2021)

Polynomial selection of F4 for solving the MQ problem. - Takuma Ito; Yuta Hoshi; Naoyuki Shinohara; Shigenori Uchiyama (JSIAM Lett., 2022)

A technique to reduce memory usage of M4GB algorithm. - Takuma Ito; Koutaro Kobayashi; Takashi Kurokawa 001; Naoyuki Shinohara; Shigenori Uchiyama (JSIAM Lett., 2023)

Selection Strategy of F4-Style Algorithm to Solve MQ Problems Related to MPKC. - Takashi Kurokawa 001; Takuma Ito; Naoyuki Shinohara; Akihiro Yamamura; Shigenori Uchiyama (Cryptogr., 2023)