Cyclic Vector Multiplication Algorithm and Existence Probability of Gauss Period Normal Basis

Author:

NEKADO Kenta1,NOGAMI Yasuyuki1,KATO Hidehiro1,MORIKAWA Yoshitaka1

Affiliation:

1. Graduate School of Natural Science and Technology, Okayama University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Reference14 articles.

1. [1] R. Sakai, K. Ohgishi, and M. Kasahara, “Cryptosystems based on pairings,” SCIS 2000, pp.26-28, 2000.

2. Short Group Signatures

3. [3] S. Takeuchi, Y. Sakemi, T. Okimoto, Y. Nogami, T. Nakanishi, J. Furukawa, and K. Sako, “How to implement Furukawa-Imai group signature scheme with Barreto-Naehrig Curve,” Proc. 4th International Workshop on SECurity (IWSEC2009), pp.31-47, Oct. 2009.

4. [4] D. Bailey and C. Paar, “Optimal extension fields for Fast Arithmetic in public-key algorithms,” Proc. Asiacrypt2000, LNCS 1976, pp.248-258, 2000.

5. [5] Y. Nogami, A. Saito, and Y. Morikawa, “Finite extension field with modulus of all-one polynomial and representation of its elements for fast arithmetic operations,” IEICE Trans. Fundamentals, vol.E86-A, no.9, pp.2376-2387, Sept. 2003.

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