By N Fazio
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Additional resources for On Cryptographic Techniques for Digital Rights Management
In the first 47 case, the idea is to introduce a suitable number of clones of the universe of keys, and for each key that a user was supposed to get in the original scheme, he now receives a random key-clone from the corresponding set. Tracing is then based on the fact that different users are not likely to share the same random key-clones. 2). In the second case (adding revocation to traitor tracing schemes), the universe of keys is again cloned, but this time each user gets all the key-clones corresponding to his original set of keys, so that the storage per user increases.
In , Berkovits proposed a broadcast scheme that, although requiring communication, encryption and decryption complexity linear in the number of recipients N − r, introduces an approach largely employed (in a revised form) in subsequent work. The scheme of  is based on Shamir’s “k out of m” secret sharing scheme : a secret s from a finite field Fp is encoded as the constant term of some polynomial P over Fp of degree k, and each participant gets a “share” consisting of the value of P at some point xi (where the points assigned to all the users are assumed to be pairwise distinct).
Thus, the restriction on Corrupt queries from Phase 2 also holds in Phase 1. Definition 16 (Chosen-Ciphertext Security for IBE). An IBE scheme EIBE is (τ, qID , qC , εIBE )-IND-ID-CCA (resp. IND-ID-CCA (resp. IND-sID-CCA) adversary A that makes at most qID chosen Corrupt queries and at most qC chosen Decrypt queries, it holds that AdvIBE,A < εIBE . We define chosen-plaintext security for an IBE scheme according to an attack game that is defined exactly as described above, except that the adversary is not allowed to issue Decrypt queries.
On Cryptographic Techniques for Digital Rights Management by N Fazio