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A Randomized Protocol for Signing Contracts

Shimon Even, Oded Goldreich, Abraham Lempel

Published Jan 1, 1983• 1,453 citations
Publisher

Abstract

Randomized protocols for signing contracts, certified mail, and flipping a coin are presented. The protocols use a 1-out-of-2 oblivious transfer subprotocol which is axiomatically defined. The 1-out-of-2 oblivious transfer allows one party to transfer exactly one secret, out of two recognizable secrets, to his counterpart. The first (second) secret is received with probability one half, while the sender is ignorant of which secret has been received. An implementation of the 1-out-of-2 oblivious transfer, using any public key cryptosystem, is presented.

DOI
10.1007/978-1-4757-0602-4_19

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If two parties want to sign a contract C over a communication network, they must “simultaneously” exchange their commitments to C Since simultaneous exchange is usually impossible in practice, protocols are needed to approximate simultaneity by exchange partial commitments in a piece by piece manner The party of secondly sending commitments may have a slight advantage; a “fair” protocol must keep this advantage within acceptable limits The protocol for signing a contract is improved based on the research result of secure multiparty computation In this protocol, the parties obliviously transfer the signed bit and the committed bit; the other parties can prove the validity of this bit based on the confirming sub protocol, but he can't gain more information about the whole signature by accumulating the signed bit or the committed bit After the parties exchange the whole signed information, they declare the commitment about the signature respectively, and gain the whole signature of the other party At this moment, the party doesn't care about the advance quit of the other party, because he has gained the whole signed information Finally, it is proved that this protocol is quit fairness

Journal of Computer Research and Development•Jan 1, 2003•0 citations
Randomized protocols for signing contracts, certified mail, and flipping a coin are presented. The protocols use a 1-out-of-2 oblivious transfer subprotocol which is axiomatically defined. The 1-out-of-2 oblivious transfer allows one party to transfer exactly one secret, out of two recognizable secrets, to his counterpart. The first (second) secret is received with probability one half, while the sender is ignorant of which secret has been received. An implementation of the 1-out-of-2 oblivious transfer, using any public key cryptosystem, is presented.
Oblivious transfer protocol is an important primitive in modern cryptography. Since its introduction, the subject has attracted a lot of attentions and has become the basis for realizing a broad class of cryptographic protocols, such as secret key exchange, contract signing, secure function evaluation, oblivious keyword search, etc. This work describes protocols for proxy oblivious transfer, in which the role of the sender is divided between two proxies, and a receiver (chooser) must contact one proxy in order to run the oblivious transfer protocol and another for some extra information. This proxy oblivious transfer protocol provides a method for the sender to delegate a proxy to transfer one of his messages to a receiver on behalf of him. The proxy oblivious transfer protocol has the same security properties as the oblivious transfer protocol using in our protocol.
Oblivious transfer protocol,which is an important and useful cryptographic protocol,has been widely applied in cryptographic field,especially in construction of secure multi-party computation protocol.However,all of present oblivious transfer protocols have two drawbacks for requirement of their secrets: ① the receiver does not know whether message received is one of the messages held by the sender;② the sender does not know whether message received by the receiver is one of the messages designated by himself.In order to conquer these drawbacks,we firstly introduce the notion of verifiable oblivious transfer protocol,and firstly construct it by using proof protocol of knowledge,i.e.,∑-protocol,as main tool.
Key-exchange protocols have been overlooked as a possible means for implementing oblivious transfer (OT). In this article, we present protocols for mutual exchange of secrets, 1-out-of-2 OT and coin-flipping similar to the Diffie-Hellman protocol using the idea of obliviously exchanging encryption keys. Since the Diffie-Hellman scheme is widely used, our protocol may provide a useful alternative to the conventional methods for implementation of oblivious transfer and a useful primitive in building larger cryptographic schemes.
The simultaneous secret exchange protocol is the key tool for contract signing protocols and certified mail protocols. This paper proposes efficient simultaneous secret exchange protocols (or gradual secret releasing protocols) that are based on general assumptions such as the existence of one-way permutations and one-way functions, while the existing efficient simultaneous secret exchange protocols are based on more constrained assumptions such as specific number theoretic problems and the existence of oblivious transfer primitives (or trap-door one-way permutations). Moreover, while the existing simultaneous secret exchange protocols have an additional requirement that the underlying commit (encryption) function is “ideal”, the above-mentioned “general assumptions” are provably sufficient for our schemes. Therefore, our protocols are provably secure under the general assumptions. In addition, our protocols are at least as efficient as the existing practical protocols, when efficient one-way permutations and one-way functions are used.
Oblivious transfer (OT) protocol is an essential tool in cryptography that provides a wide range of applications such as secure multi-party computation, private information retrieval, private set intersection, contract signing, and privacy-preserving location-based services. The OT protocol has different variants such as one-out-of-2, one-out-of- n , k -out-of- n , and OT extension. In the OT (one-out-of-2, one-out-of- n , and OT extension) protocol, the sender has a set of messages, whereas the receiver has a key. The receiver sends that key to the sender in a secure way; the sender cannot get any information about the received key. The sender encrypts every message by operating on every message using the received key and sends all the encrypted messages to the receiver. The receiver is able to extract only the required message using his key. However, in the k -out-of- n OT protocol, the receiver sends a set of k keys to the sender, and in replay, the sender sends all the encrypted messages. The receiver uses his keys and extracts the required messages, but it cannot gain any information about the messages that it has not requested. Generally, the OT protocol requires high communication and computation cost if we transfer millions of oblivious messages. The OT extension protocol provides a solution for this, where the receiver transfers a set of keys to the sender by executing a few numbers of OT protocols. Then, the sender encrypts all the messages using cheap symmetric key cryptography with the help of a received set of keys and transfers millions of oblivious messages to the receiver. In this work, we present different variants of OT protocols such as one-out-of-2, one-out-of- n , k -out-of- n , and OT extension. Furthermore, we cover various aspects of theoretical security guarantees such as semi-honest and malicious adversaries, universally composable, used techniques, computation, and communication efficiency aspects. From the analysis, we found that the semi-honest adversary-based OT protocols required low communication and computation costs as compared to malicious adversary-based OT protocols.
If two parties want to sign a contract C over a communication network, they must “simultaneously” exchange their commitments to C Since simultaneous exchange is usually impossible in practice, protocols are needed to approximate simultaneity by exchange partial commitments in a piece by piece manner The party of secondly sending commitments may have a slight advantage; a “fair” protocol must keep this advantage within acceptable limits The protocol for signing a contract is improved based on the research result of secure multiparty computation In this protocol, the parties obliviously transfer the signed bit and the committed bit; the other parties can prove the validity of this bit based on the confirming sub protocol, but he can't gain more information about the whole signature by accumulating the signed bit or the committed bit After the parties exchange the whole signed information, they declare the commitment about the signature respectively, and gain the whole signature of the other party At this moment, the party doesn't care about the advance quit of the other party, because he has gained the whole signed information Finally, it is proved that this protocol is quit fairness