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REPORTS > KEYWORD > FACTORING ASSUMPTION:
Reports tagged with factoring assumption:
TR01-007 | 7th December 2000
Vered Rosen

On the Security of Modular Exponentiation

Assuming the inractability of factoring, we show that the
output of the exponentiation modulo a composite function
$f_{N,g}(x)=g^x\bmod N$ (where $N=P\cdot Q$) is pseudorandom,
even when its input is restricted to be half the size.
This result is equivalent to the simultaneous hardness of
the ... more >>>

TR02-049 | 4th August 2002
Oded Goldreich, Vered Rosen

On the Security of Modular Exponentiation with Application to the Construction of Pseudorandom Generators

Assuming the inractability of factoring, we show that
the output of the exponentiation modulo a composite function
$f_{N,g}(x)=g^x\bmod N$ (where $N=P\cdot Q$) is pseudorandom,
even when its input is restricted to be half the size.
This result is equivalent to the simultaneous hardness of the upper
half of the bits ... more >>>

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