  We present a new quasigroup based block encryption system with and without
cipher-block-chaining. We compare its performance against Advanced Encryption
Standard-256 (AES256) bit algorithm using the NIST statistical test suite
(NIST-STS) that tests for randomness of a sequence. Since it is well known that
a good encryption algorithm must destroy any statistical properties of the
input sequence and produce an output close to a true random sequence, the
NIST-STS suite results provide a good test bench. In almost all tests from the
suite the proposed algorithm performs better than AES256.
