By Carmit Hazay
The authors current a finished research of effective protocols and methods for safe two-party computation – either common buildings that may be used to soundly compute any performance, and protocols for particular difficulties of curiosity. The publication makes a speciality of thoughts for developing effective protocols and proving them safe. additionally, the authors research diverse definitional paradigms and examine the potency of protocols accomplished lower than those various definitions.
The publication opens with a basic advent to safe computation after which offers definitions of defense for a few diversified adversary types and definitional paradigms. within the moment half, the ebook indicates how any performance should be securely computed in an effective manner within the presence of semi-honest, malicious and covert adversaries. those basic buildings supply a foundation for knowing the feasibility of safe computation, and they're an outstanding advent to layout paradigms and evidence recommendations for effective protocols. within the ultimate half, the publication offers particular structures of value. The authors commence with an in-depth research of sigma protocols and 0 wisdom, concentrating on safe computation, and so they then supply a complete research of the basic oblivious move functionality. ranging from protocols that in achieving privateness basically, they exhibit hugely effective buildings that in achieving safety within the presence of malicious adversaries for either a unmarried and a number of batch executions. Oblivious pseudorandom functionality overview is then offered as a right away software of oblivious move. ultimately, the e-book concludes with examples of high-level protocol difficulties that show how particular homes of an issue should be exploited to achieve excessive potency: securely computing the kth-ranked aspect, and safe database and textual content seek.
This publication is key for practitioners and researchers within the box of safe protocols, rather people with a spotlight on potency, and for researchers within the quarter of privacy-preserving info mining. This publication is additionally used as a textbook for a sophisticated path on safe protocols.
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Efficient Secure Two-Party Protocols: Techniques and Constructions
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Extra resources for Efficient Secure Two-Party Protocols: Techniques and Constructions
Example text
We remark that in the case of semi-honest adversaries, this definition is equivalent to the (simpler) simulation-based definition presented here; see [32]. This formulation of security will be used for defining security in the presence of malicious adversaries below. Augmented semi-honest adversaries. Observe that by the definition above, a semi-honest party always inputs its prescribed input value, even if it is corrupted. We argue that it often makes sense to allow a corrupted semihonest party to modify its input, as long as it does so before the execution begins.
We stress that this only holds for the augmented semi-honest case, because S may change the corrupted party’s inputs (we have no control over S) and so the semi-honest simulator can only run S if it too can change the corrupted party’s inputs. We stress that if ϵ = 0 (or is negligible) then the definition of covert adversaries requires nothing, and so the proposition does not hold for this case. We conclude that, as one may expect, security in the presence of covert adversaries with ϵ-deterrent lies in between security in the presence of malicious adversaries and security in the presence of semi-honest adversaries.
In the malicious ideal model, S can choose whatever input it wishes for the corrupted party; since S ′ is augmented semi-honest, it too can modify the input. In addition, S can cause the honest party to output abort. However, S ′ cannot do this. Nevertheless, this is not a problem because when S is the simulator for an augmented semi-honest A it can cause the honest party to output abort with at most negligible probability. In order to see this, note that when two honest parties run the protocol, neither outputs abort with non-negligible probability.