International Association
for Cryptologic Research

This paper analyzes group communication within the universally

composable framework. We first propose the group communication

model, identity-based signcrytion model and group key distribution model in the UC framework by

designing the ideal functionality $\\mathcal {F}_{SAGCOM}$, $\\mathcal

{F}_{IDSC}$ and $\\mathcal {F}_{GKD}$, respectively. Then, we construct

a UC secure identity-based signcryption protocol $\\pi_{IDSC}$. Moreover,

we shows that the identity-based signcryption $\\pi_{IDSC}$ securely realizes the ideal functionality $\\mathcal {F}_{IDSC}$ if

and only if the corresponding protocol IDSC is secure. Finally, based on the identity-based protocol, we propose a group communication scheme

$\\pi_{SAGCOM}$, which can securely realizes the ideal functionality

$\\mathcal {F}_{SAGCOM}$ in the $(\\mathcal {F}_{IDSC},\\mathcal

{F}_{GKD})$-hybrid model.