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An Efficient Homomorphic MAC with Small Key Size for
Authentication in Network Coding
Abstract
Recently, homomorphic message authentication code (MAC) schemes have been
proposed to resist against pollution attacks in network coding. However, existing
methods face a common challenge: the generated MAC $t$ belongs to a small finite field
$mathbb{F}_{q}$, which means that an adversary could attack by randomly guessing the
value of $t$, and succeed with probability $1/q$. Since $q$ is a predetermined system
parameter which is typically set as $2^8$, the resulted security $1/256$ could be
unsatisfactory in practice. In this paper, we propose an efficient homomorphic MAC for
authentication in network coding. The proposed method achieves a reliable security
parameter $1/q^l$ using only one key, where $l$ could be chosen according to different
security requirements. Compared with previous approaches that using multiple tags, the
proposed homomorphic MAC has both low computation and communication overheads.
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