1. A computer system for executing vectorized Galois field multiplication, the system comprising: a memory; and a processor, communicatively coupled to said memory, the computer system configured to perform a method comprising: inputting, by the processor, first and second input operands of equal sizes into a single hardware tree; calculating a predicted parity as a parity of the first input operand ANDed with a parity of the second input operand; comparing the predicted parity with a parity generated on a final result of a Galois field multiplication of the first and second operands; and raising an error based on a mismatch between the predicted parity and the generated parity.