Abstract: A method of securely downloading at least one of conditional access software (CAS), Digital Rights Management software (DRMS), Trusted Domain Software (TDS), and Gaming Security Software (GSS) includes presenting a specialized entitlement management message (EMM) to initiate the download to a receiver security device using a supervisory logon key (SLK) split to logon with a second split contained inside the receiver security device, presenting a receiver digitally signed random challenge from the receiver security device to a sender security server to establish authentication of the receiver security device to the sender security server, and signing and returning the receiver random challenge from the sender security server to the receiver security device with a sender random challenge to establish authentication of the sender security server to the receiver security device.

Abstract: A modular exponentiator is adapted to receive a first communicated signal and derive a second signal therefrom by computation of a modular exponentiation of the form be mod n based on the first signal. The modular exponentiator divides the modular exponentiation according to the Chinese remainder theorem into first and second portions respectively having modulus values p and q of approximately half of an original modulus value n of the modular exponentiation. Each portion of the modular exponentiation is factored into respective pluralities of smaller modular exponentiations having precalculated exponent values. The respective pluralities of smaller modular exponentiations are then multiplied together to provide respective intermediate products. The intermediate products are then recombined to yield the modular exponentiation result.