  Second order asymptotics of fixed-length source coding and intrinsic
randomness is discussed with a constant error constraint. There was a
difference between optimal rates of fixed-length source coding and intrinsic
randomness, which never occurred in the first order asymptotics. In addition,
the relation between uniform distribution and compressed data is discussed
based on this fact. These results are valid for general information sources as
well as independent and identical distributions. A universal code attaining the
second order optimal rate is also constructed.
