Relationship between Divisors’ Distribution and Square Root of a RSA Modulus
Keywords:
Cryptography, RSA modulus, square root, divisor distributionAbstract
The article investigates relationship between
divisor’s distribution and the square root of a RSA modulus.With the help of T3 tree, it proves several conclusions that can determine the scope of the small divisor of a semiprime whose divisor-ratio is smaller than 2. The proved conclusions are helpful to judge if a small divisor of a semiprime is on certain level of T3. Numerical experiments inMathematica are made
and the experiments stronglysupport the proved conclusions
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