A survey of pairing-based identity-based signatures tabulates signature sizes on JPBC curves and suggests two compression tricks, one of which makes signatures unverifiable.
Pairing-Friendly Elliptic Cur ves of Prime Order
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Systematization of Knowledge and Implementation: Short Identity-Based Signatures
A survey of pairing-based identity-based signatures tabulates signature sizes on JPBC curves and suggests two compression tricks, one of which makes signatures unverifiable.