Computing devices and techniques for performing modular exponentiation for a data encryption process are described. In one embodiment, for example, an apparatus may include at least one memory logic for an encryption unit to perform encryption according to RSA encryption using a parallel reduction multiplier (PRM) MM process, at least a portion of the logic comprised in hardware coupled to the at least one memory and the at least one wireless transmitter, the logic to precompute a reduction coefficient, determine an operand product and a reduction product in parallel, the reduction product based on the reduction coefficient, and generate a MM result for the PRM MM process based on the operand product and the reduction product. Other embodiments are described and claimed.