General transformations from single-generation to multi-generation for homomorphic message authentication schemes in network coding

Homomorphic (broadcast) message authentication code (MAC for short) scheme is a powerful tool for network coding to resist the pollution attack. However, many existing schemes only support the single-generation transmission and hence, potentially are vulnerable to multi-generation pollution attacks considered by Cheng et al. in 2016. In this paper, we consider how to securely convert the single-generation homomorphic (broadcast) MAC schemes into multi-generation ones so that they can resist the multi-generation attacks. Concretely,