An Efficient CP-ABE with Constant Size Secret Keys using ECC for Lightweight Devices

The energy cost of asymmetric cryptography is a vital component of modern secure communications, which inhibits its wide spread adoption within the ultra-low energy regimes such as Implantable Medical Devices (IMDs) and Radio Frequency Identification (RFID) tags. The ciphertext-policy attribute-based encryption (CP-ABE) is a promising cryptographic tool, where an encryptor can decide the access policy that who can decrypt the data. Thus, the data will be protected from the unauthorized users. However, most of the existing CP-ABE schemes require huge storage and computational overheads. Moreover, CP-ABE schemes based on bilinear map loose the high efficiency over the elliptic curve cryptography because of the requirement of the security parameters of larger size. These drawbacks prevent the use of ultra-low energy devices in practice. In this paper, we aim to propose a novel expressive AND-gate access structured CP-ABE scheme with constant-size secret keys (CSSK) with the cost efficient solutions for the encryption and decryption using ECC, called the CP-ABE-CSSK scheme. In the proposed CP-ABE-CSSK, the size of secret key is as small as 320 bits. In addition, ECC is efficient and more suitable for the lightweight devices as compared to the bilinear pairing based cryptosystem. Thus, the proposed CP-ABE-CSSK scheme provides the low computation and storage overheads with an expressive AND-gate access structure as compared to the related existing schemes in the literature. As a result, our scheme is very suitable for CP-ABE key storage and computation cost in the ultra-low energy devices

Identity-based traitor tracing with short private key and short ciphertext

Identity-based traitor tracing (IBTT) scheme can be utilized to identify a private (decryption) key of any identity that is illegally used in an identity-based broadcast encryption scheme. In PKC\u2707, Abdalla et al. proposed the first IBTT construction with short private key. In CCS\u2708, Boneh and Naor proposed a public-key traitor tracing, which can be extended to IBTT with short ciphertext. With a further exploration, in this paper, we propose the first IBTT with short private key and short ciphertext. Private key and ciphertext are both order of O(l 1+l 2), where l 1 is the bit length of codeword of fingerprint codes and l 2 is the bit length of group element. To present our IBTT scheme, we introduce a new primitive called identity-based set encryption (IBSE), and then describe our IBTT scheme from IBSE and fingerprint codes based on the Boneh-Naor paradigm. Our IBSE scheme is provably secure in the random oracle model under the variant of q-BDHE assumption. © 2012 Springer-Verlag

Identity-based traitor tracing with short private key and short ciphertext

Identity-based traitor tracing (IBTT) scheme can be utilized to identify a private (decryption) key of any identity that is illegally used in an identity-based broadcast encryption scheme. In PKC\u2707, Abdalla et al. proposed the first IBTT construction with short private key. In CCS\u2708, Boneh and Naor proposed a public-key traitor tracing, which can be extended to IBTT with short ciphertext. With a further exploration, in this paper, we propose the first IBTT with short private key and short ciphertext. Private key and ciphertext are both order of O(l 1+l 2), where l 1 is the bit length of codeword of fingerprint codes and l 2 is the bit length of group element. To present our IBTT scheme, we introduce a new primitive called identity-based set encryption (IBSE), and then describe our IBTT scheme from IBSE and fingerprint codes based on the Boneh-Naor paradigm. Our IBSE scheme is provably secure in the random oracle model under the variant of q-BDHE assumption