Abstract: Non-transitory computer readable storage mediums have instructions executed by processors to access a first random data element at a first computing device. A first vector and a second vector are generated at a second computing device. A communication channel is utilized to execute a secure multiparty computation protocol between the first computing device and the second computing device. The first computing device alternately identifies a polynomial relations satisfied state and a polynomial relations unsatisfied state. A first selected instruction set is executed at the first computing device in response to the polynomial relations satisfied state. A second selected instruction set is executed at the first computing device in response to the polynomial relations unsatisfied state.