Communication and Storage Complexity Clause Samples

Communication and Storage Complexity. ‌ The participants of the proposed protocol exchange short-term (session-specific) and long-term public keys. Each key is modelled by an integer element of an elliptic curve group, and are much smaller in size than keys used in traditional public key cryptosys- tems (i.e. RSA). For instance, in providing the security equivalent of a ▇▇▇▇-▇▇▇ ▇▇▇ key, only a 160-bit elliptic curve key is needed. The long-term public keys only comprise one group element (PA = XA = xAP for entity A), whereas each public key in Al-Riyami and Paterson’s [1] (AP) certificateless key agreement protocol consist of two group elements (PA = ⟨XA, YA⟩ = ⟨xAP, xAsP⟩ for entity A). Not only does this reduce the overall bandwidth, but it also reduces the space required by each user in storing public keys by one half5. In these respects, the proposed protocol can be considered more efficient than AP’s protocol. Moreover, if many keys are agreed or the protocol is used in a client/server setting (in which the server public key is known), only fresh short-term keys need to be exchanged in each protocol run. Thus, the protocol can be considered just as efficient as identity-based schemes where public keys are always known. Table 2 provides an overview of the exchanged messages and the established session key in certificateless and identity-based protocols. Ideally, we want to compare the cer- tificateless schemes to escrowless identity-based schemes in order to prove their benefit in this area. Note that the only real difference between identity-based and certificateless schemes here is that public keys are exchanged in the certificateless setting.
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