- Katsuyuki Takashima, New families of hyperelliptic curves with efficient Gallant-Lambert-Vanstone method, Information Security and Cryptology, ICISC 2004: 7th International Conference, Seoul, Korea, December 2-3, 2004, Lecture Notes in Comput. Sci., vol. 3506, Springer, Berlin, 2005, pp. 279–295.
- Katsuyuki Takashima, A new type of fast endomorphisms on Jacobians of hyperelliptic curves and their cryptographic application, IEICE Trans. Fundamentals E89-A (2006), no. 1, 124–133.
- Katsuyuki Takashima, Scaling security of elliptic curves with fast pairing using efficient endomorphisms, IEICE Trans. Fundamentals E-90A (2007), no. 1, 152–159.
- Katsuyuki Takashima, Efficiently computable distortion maps for supersingular curves, Algorithmic Number Theory, Lecture Notes in Computer Science, vol. 5011, Springer Berlin/Heidelberg, 2008, pp. 88–101.