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Identity-based identification, first formalized independently by Bellare et al. and Kurosawa and Heng in 2004, still had the inherent key escrow problem, as the TA generating the user secret keys had full access to every user's secret key. In 2003, Al-Riyami and Paterson introduced the notion of certificateless cryptography, and subsequently many certificateless encryption, signature and other schemes...
In 2014, Algehawi and Samsuddin proposed a certificateless encryption scheme based on Chebyshev polynomials. The authors based their construction on the Al-Riyami and Paterson original design for certificateless encryption scheme but replaced bilinear pairings with the Chebyshev polynomial and claimed that their scheme is secure because Al-Riyami and Paterson's scheme is secure. In this paper, we...
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