  The problem of multilevel diversity coding with secure regeneration (MDC-SR)
is considered, which includes the problems of multilevel diversity coding with
regeneration (MDC-R) and secure regenerating code (SRC) as special cases. Two
outer bounds are established, showing that separate coding of different
messages using the respective SRCs can achieve the
minimum-bandwidth-regeneration (MBR) point of the achievable normalized
storage-capacity repair-bandwidth tradeoff regions for the general MDC-SR
problem. The core of the new converse results is an exchange lemma, which can
be established using Han's subset inequality.
