Abstract
Certificateless Public Key Cryptography (CL-PKC) has very appealing features, namely it does not require any public key certification (cf. traditional Public Key Cryptography) nor having key escrow problem (cf. Identity-Based Cryptography). However, it does suffer to the Denialof-Decryption (DoD) Attack called by Liu and Au [1], as its nature is similar to the well known Denial-of-Service (DoS) Attack. Based on CLPKC, they introduced a new paradigm called Self-Generated-Certificate Public Key Cryptography (SGC-PKC) that captured the DoD Attack and proposed a first scheme derived from a novel application of Water's Identity-Based Encryption scheme. In this paper, we propose a new SGC-PKE scheme that does not depend on the bilinear pairings, which make it be more efficient and more short public keys than Liu and Au's scheme. More importantly, our scheme reaches Girault's trusted level 3 (cf. Girault's trusted level 2 of Liu and Au's scheme), the same level as is enjoyed in a traditional PKI.
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