… ciphertext size and the private key size implies that if we want to have short ciphertexts, the
private keys … One can verify that skIDi is a valid private key. R then completes the list LH with …

… IBE scheme we present a new and direct identity-based key encapsulation mechanism with
short ciphertexts … Chosen-ciphertext security is obtained at sheer optimal cost. Compared to …

… for short) with the goal of removing the trust parties need to place in the private-key generator
in an IBE … Alice’s ciphertexts using an identity-specific secret key that he obtains from the …

… Generator(PKG) is untrusted, you may suddenly learn that a private key corresponding to …
(IBBE) with constant size ciphertexts and private keys in [6]. As an IBE system, like[7-8],the …

… Next, it generates private keys based on user identities. During … part of the ciphertext and
output it. The recipient decrypts the … (b), the key size generated by AIBE was significantly smaller …

… In this section we give a short overview on the theory of elliptic curves to the extent we use
… Also PKG does not have to store private key of the party unlike in the case of PKI. IBE is …

… second scheme is that its ciphertexts are shorter (it saves precisely the one-time signatures).
… , where KK is the session-key space of the KEM, the running time of B is about that of A plus …

… property on ciphertexts and private keys. Roughly the … rerandomization in that an algorithm
can sample a new short basis, … ,...,Kk} similarly denote the elements of the secret key. Then …

… the private key generation center (PKG, private key generator), a … Decrypt Input params,
private key d and ciphertext c C … more security, higher algorithm efficiency and shorter ciphertext. …

… Enc that outputs K ∈ KK for some specific domain KK rather … one-time secure DEM that
typically yield shorter ciphertext … In the (n, k)-threshold model, the private key sk is shared among …