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New multi-signature and proxy multi-signature schemes from the Weil pairings

There exist two classes of proxy multi-signature. In the first class, different proxy signers delegate different original signers, while in the second class a same proxy signer delegates all of the original signers. Based on the bilinear property of the Weil/Tate pairings, consulting Harn's idea of multi-signature and Zhang's method of constructing proxy signature, we constructed new multi-signature and proxy multi-signature schemes covering the first class and the second class. The schemes' security is detailed in the paper.