We show universally attainable exponents for the decoding error and the mutual information for the broadcast channels with confidential messages. The error exponents are the same as ones given by Körner and Sgarro for the broadcast channels with degraded message sets.

In this paper, we consider a status updating system where updates are generated at constant rate $K$ sources and sent to the corresponding recipients through noise-free broadcast channel. We assume that perfect channel state informati...