We propose an efficient technique for the detection of errors in cryptographic circuits introduced by strong adversaries. Previously a number of linear and non-linear error detection schemes were proposed. Linear codes provide protection only against primitive adversaries which no longer represents practice. On the other hand non-linear codes provide protection against strong adversaries, but at the price of high overhead. Here we propose a novel error detection technique, based on the random selection of linear codes. Under mild assumptions the proposed construction achieves near non-linear code error detection performance at much lower cost due to the fact that no non-linear operations are needed for the encoder and decoder.