Aggregate Message Authentication Code Capable of Non-Adaptive Group-Testing

We introduce group-testing aggregate message authentication code (GTA MAC) and provide its formal study. We first specify its syntax and security requirements. Then, we present a scheme of generic construction which applies non-adaptive group-testing to aggregate MAC. We also confirm the security of the generic construction based on that of underlying aggregate MAC and a useful property of matrices representing non-adaptive group-testing. In addition, we instantiate the generic construction using the aggregate MAC scheme proposed by Katz and Lindell or a scheme using a cryptographic hash function for aggregating tags. Finally, we present some implementation results to show the effectiveness of our proposed GTA MAC.