Abstract—In healthcare wireless sensor networks (HWSNs), a

lot of personal medical data are collected by wireless sensors.

Given that a medical diagnostic analysis heavily relies on these

medical data, any tampering with medical data may potentially

result in severe consequences. So how to efficiently authenticate

the collected medical data is a challenging work in such resourceconstrained application scenarios. In this paper, we propose

an efficient aggregate signature scheme with designated verifier

based on the Schnorr signature over an elliptic curve group for

HWSNs. In our signature scheme, the set of many individual

signatures on very large amounts of collected medical data can

be compressed into a concise aggregate signature and their

availability can be reduced to the validity of the aggregate signature only believed by a designated verifier. Unauthorized entities

cannot trace the origin of these medical data authenticated by

the aggregate signature. Meanwhile, our proposed scheme can

also stop compressing any invalid individual signature into a

valid aggregate signature even if all signers collude. Malicious

signers are unable to deny the authenticated data by forging

a valid aggregate signature based on several invalid individual

signatures. Experimental simulation shows that the computation

cost of our provably secure aggregate signature scheme is notably

lower than that of existing works.