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Cryptanalysis of Lin et al.’s Digital Multi-Signature Scheme on the Generalized Conic Curve Over Zn |
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PP: 63-68 |
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Author(s) |
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SK Hafizul Islam,
G. P. Biswas,
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Abstract |
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In 2009, Lin et al. proposed a digital multi-signature scheme based on the concepts of generalized conic curves over Zn.
They claimed that the multi-signature scheme is well secured and the forgery attack is infeasible on it. Unfortunately, three weaknesses
on their proposed multi-signature have been observed and it has been shown that an attacker can compute the secret pairs of all signers
using the technique to solve the linear Diophantine equation, a malicious signer can generate a forged signature based on the signatures
of other signers, called inside forgery attack, which is very difficult to disproof by the verifier. Also an outsider can compute a forged
signature against the valid multi-signature, may be termed as outsider forgery attack. |
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