text: abstract—this paper employs equal-image-size source partitioning techniques to derive the capacities of the general discrete
  memoryless wiretap channel (dm-wtc) under four different
  secrecy criteria. these criteria respectively specify requirements
  on the expected values and tail probabilities of the differences,
  in absolute value and in exponent, between the joint probability
  of the secret message and the eavesdropper’s observation and
  the corresponding probability if they were independent. some of
  these criteria reduce back to the standard leakage and variation
  distance constraints that have been previously considered in the
  literature. the capacities under these secrecy criteria are found to
  be different when non-vanishing error and secrecy tolerances are
  allowed. based on these new results, we are able to conclude that
  the strong converse property generally holds for the dm-wtc
  only under the two secrecy criteria based on constraining the tail
  probabilities. under the secrecy criteria based on the expected
  values, an interesting phase change phenomenon is observed as
  the tolerance values vary.