Naofumi Takagi

N. Takagi, "A Radix-4 Modular Multiplication Hardware Algorithm Efficient for Iterative Modular Multiplications", Proceedings of the 10th IEEE Symposium on Computer Arithmetic, Grenoble, France, June 26-28, 1991

N. Takagi, "A Modular Multiplication Algorithim with Triangle Additions", Proceedings of the 11th IEEE Symposium on Computer Arithmetic, Windsor, Ontario, Canada, June 29 - July 2, 1993

M. Ito, N. Takagi, S. Yajima, "Efficient Initial Approximation and Fast Converging Methods for Division and Square Root", Proceedings of the 12th IEEE Symposium on Computer Arithmetic, Bath, England, July 19-21, 1995

H. Hassler, N. Takagi, "Function Evaluation by Table Look-up and Addition", Proceedings of the 12th IEEE Symposium on Computer Arithmetic, Bath, England, July 19-21, 1995

T. Hamano, N. Takagi, S. Yajima, F. P. Preparata, "O(n)-depth Circuit Algorithm for Modular Exponentiation", Proceedings of the 12th IEEE Symposium on Computer Arithmetic, Bath, England, July 19-21, 1995

T. Lang, J. -M. Muller, N. Takagi, S. Vassiliadis, "Thirteenth IEEE Symposium on Computer Arithmetic: Foreword", Proceedings of the 13th IEEE Symposium on Computer Arithmetic, Asilomar, California, July 6-9, 1997

N. Takagi, "Generating a Power of an Operand by a Table Look-up and a Multiplication", Proceedings of the 13th IEEE Symposium on Computer Arithmetic, Asilomar, California, July 6-9, 1997

N. Takagi, S. Kuwahara, "Digit-Recurrence Algorithm for Computing Euclidean Norm of a 3-D Vector", Proceedings of the 14th IEEE Symposium on Computer Arithmetic, Adelaide, Australia, April 14-16, 1999

N. Takagi, "A Hardware Algorithm for Computing Reciprocal Square Root", Proceedings of the 15th IEEE Symposium on Computer Arithmetic, Vail, Colorado, June 11-13, 2001

Marcelo Kaihara and Naofumi Takagi, "A VLSI Algorithm for Modular Multiplication/Division", Proceedings of the 16th IEEE Symposium on Computer Arithmetic, Santiago de Compostela, Spain, June 15-18, 2003

N. Takagi, S. Kadowaki, K. Takagi, "A Hardware Algorithm for Integer Division", Proceedings of the 17th IEEE Symposium on Computer Arithmetic, Cape Cod, Massachusetts, June 27-29, 2005

K. Kobayashi, N. Takagi, K. Takagi, "An Algorithm for Inversion in GF(2^m) Suitable for Implementation Using a Polynomial Multiply Instruction on GF(2)", Proceedings of the 18th IEEE Symposium on Computer Arithmetic, Montpellier, France, June 25-27, 2007