A High-Speed Square Root Algorithm in Extension Fields. - Hidehiro Katou; Feng Wang; Yasuyuki Nogami; Yoshitaka Morikawa (ICISC, 2006)

Skew Frobenius Map and Efficient Scalar Multiplication for Pairing-Based Cryptography. - Yumi Sakemi; Yasuyuki Nogami; Katsuyuki Okeya; Hidehiro Katou; Yoshitaka Morikawa (CANS, 2008)

Integer Variable chi-Based Ate Pairing. - Yasuyuki Nogami; Masataka Akane; Yumi Sakemi; Hidehiro Katou; Yoshitaka Morikawa (Pairing, 2008)

Cross twisted Xate pairing with Barreto-Naehrig curve for multi-pairing technique. - Yumi Sakemi; Yoshitaka Morikawa; Yasuyuki Nogami; Hidehiro Kato (ISIT, 2009)

A Multiplication Algorithm in Fpm Such That p>m with a Special Class of Gauss Period Normal Bases. - Hidehiro Katou; Yasuyuki Nogami; Tomoki Yoshida; Yoshitaka Morikawa (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2009)

Integer Variable chi-Based Cross Twisted Ate Pairing and Its Optimization for Barreto-Naehrig Curve. - Yasuyuki Nogami; Yumi Sakemi; Hidehiro Kato; Masataka Akane; Yoshitaka Morikawa (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2009)

Width-3 Joint Sparse Form. - Katsuyuki Okeya; Hidehiro Katou; Yasuyuki Nogami (ISPEC, 2010)

Two Improvements of Twisted Ate Pairing with Barreto-Naehrig Curve by Dividing Miller's Algorithm. - Yumi Sakemi; Hidehiro Kato; Shoichi Takeuchi; Yasuyuki Nogami; Yoshitaka Morikawa (Adv. Inf. Sci. Serv. Sci., 2010)

Cyclic Vector Multiplication Algorithm and Existence Probability of Gauss Period Normal Basis. - Kenta Nekado; Yasuyuki Nogami; Hidehiro Kato; Yoshitaka Morikawa (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2011)

Finding a Basis Conversion Matrix Using a Polynomial Basis Derived by a Small Multiplicative Cyclic Group. - Yasuyuki Nogami; Hidehiro Kato; Kenta Nekado; Satoshi Uehara; Yoshitaka Morikawa (IEEE Trans. Inf. Theory, 2012)