## Cryptology ePrint Archive: Report 2009/058

**On Generalization of Cheon's Algorithm**

*Takakazu Satoh*

**Abstract: **We consider a generalization of Cheon's algorithm on the strong Diffie-Hellman problem.
More specifically, we consider the circumstance that p^k-1 has a small divisor for k>=3, where p is the order of group on which we consider the strong Diffie-Hellman problem.
It seems that our algorithm is only effective for k=1, 2, that is, the original Cheon's algorithm.

**Category / Keywords: **public-key cryptography / strong Diffie-Hellman problem

**Publication Info: **None.

**Date: **received 4 Feb 2009, last revised 11 Oct 2010

**Contact author: **satohcgn at mathpc-satoh math titech ac jp

**Available format(s): **PDF | BibTeX Citation

**Note: **The exponent in (5) and the proof of Lemma 2 are corrected.
The author would like to thank Dr. Sungwook Kim for pointing out them.

**Version: **20101011:080005 (All versions of this report)

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