METHOD AND APPARATUS FOR INTEGER TRANSFORMATION USING A DISCRETE LOGARITHM AND MODULAR FACTORIZATION

Transforming an integer comprises receiving the integer, where the integer can be expressed as a modular factorization. The modular factorization comprises one or more factors, where each factor has an exponent. The integer is expressed as a product of residues. A discrete logarithm of the integer is established from a sum corresponding to the product of residues. A value for an exponent of a factor is determined from the discrete logarithm. The integer is represented as the modular factorization comprising the one or more factors, where each factor has a value for the exponent.