In a wireless communication system, a method and system for implementing an FO function in a KASUMI algorithm for accelerating cryptography in GSM/GPRS/EDGE compliant handsets are provided. An efficient implementation of the FO function may comprise circuitry provided for a pipeline state machine, an FI function, a controller, a pipe register, and an XOR operation. Signals may be generated to control each round of FI processing and to indicate when each round is complete. The pipeline state machine may provide data input and subkey to the FI function for processing. A first and a second round FI processing outputs may be transferred to the pipe register. The second round output may be clocked from the pipe register to generate a portion of the FO function output and may also be XORed with a third round output of FI processing to generate the remaining portion of the FO function output.