ANOTHER PROOF OF WIENER'S SHORT SECRET EXPONENT
DOI:
https://doi.org/10.22452/mjs.sp2019no1.6Keywords:
RSA cryptosystem, continued fractions, secret exponent, cryptanalysis, Wiener’s theoremAbstract
Wiener’s short secret exponent attack is a well-known crypt-analytical result upon the RSA cryptosystem using a Diophantine’s method called continued fractions. We recall that Wiener’s attack works efficiently on RSA with the condition that the secret exponent . Later, the upper bound was improved satisfying
. In this work, we present another proof to Wiener’s short secret exponent satisfying
. We remark that our result is slightly better than the previously mentioned attacks.
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