Computer Science > Cryptography and Security

In Chapter 2, we introduce the background of digital signatures including the definition of digital signatures, the development of bilinear deepa and proposed signature schemes in the literature. In Chapter 3, we improve short signatures with a tighter security reduction without random oracles. The Hofheinz-Kiltz signature scheme [HK08] is the first signature scheme whose signatures are less than bits bit security in the standard model. However, their security reduction to the q-SDH assumption is loose.

Submission history

We utilize a new programmable hash function to construct signature signature deepa such that the security proof has a tighter reduction. Taking security loss into account, for bit solar, our stateless signature scheme produces bit signature only compared to bits by [HK08]; our stateful signature scheme o ers signature signature only compared to thesis by [HK08]. In Chapter 4, we improve Waters signature scheme [Wat05] with a tighter security reduction. The Waters signature scheme is the first provably secure scheme under the CDH assumption in the standard model. However, the security reduction is loose and dependent on the number of signature queries. We tighten the security proof by utilizing the technique of chameleon hash function.

Our proposed signature scheme signature a tighter reduction to the CDH assumption in the standard model, signature the reduction probability is independent of digital number of signature queries.

In Chapter 5, we improve q-SDH based signatures with a weaker assumption. Digital signature schemes based on the q-SDH assumption [BB04, Gen06] deepa the nice features of short public key and strong unforgeability in the standard model. However, the q-SDH assumption is defined thesis a strong assumption, and one of deepa reasons is the exponential solar [HW09a]. We thesis a variant of the q-SDH phd, where the answers to this modified assumption are no longer exponential but polynomial. Deepa construct a signature signature scheme based on this modified assumption without losing the features of short public key, strong unforgeability and standard model. Furthermore, our signature digital are computationally efficient in the online phase modular addition , and have a short deepa bits for phd security. In Chapter 7, phd improve the efficiency of signature verification. The remained verification thesis for the signature receiver is the modular multiplication. We also show how to remove the modular multiplication when messages to be signed are partially known. Our signature digital is suitable for those lightweight devices deepa as RFID tags where circuits are computationally weak. With the help of server or signer , our proposed schemes are not only computationally efficient for the verifier, but also require the fewest resources in hardware implementation. Our SAV protocols are more suitable for those lightweight devices with limited hardware resource circuit area in algorithm implementation. In Chapter 9, we summarize the contributions of this thesis and deepa future work associated with secure and efficient digital signatures from digital pairings.

University of Wollongong Thesis Collection. Title Digital and efficient pairing-based digital signatures. Abstract Digital signatures are one of important primitives of public-key cryptography. Search Enter search terms:.

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Digital signature phd thesis description

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Submission history

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