## Cryptology ePrint Archive: Report 2005/380

**Breaking RSA May Be As Difficult As Factoring**

*Daniel R. L. Brown*

**Abstract: **If factoring is hard, this paper shows that straight line programs cannot efficiently solve the low public exponent RSA problem. More precisely, no efficient algorithm can take an RSA public key as input and then output a straight line program that efficiently solves the low public exponent RSA problem for the given public key --- unless factoring is easy.

**Category / Keywords: **public-key cryptography / RSA Problem, Factoring, Straight Line Programs

**Date: **received 20 Oct 2005, last revised 7 Jan 2008

**Contact author: **dbrown at certicom com

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

**Note: **Slight correction: alternative strategy if g(X) not square-free.

**Version: **20080107:205109 (All versions of this report)

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