IEEE International Symposium on Information Theory (ISIT)

Efficient oblivious transfer from any non-trivial binary-symmetric channel

Douglas Stebila, Stefan Wolf

Published Jun 25, 2003• 20 citations

Abstract

In 1997, Crepeau proved that the important cryptographic primitive of oblivious transfer can be efficiently realized by using a binary-symmetric channel with symbol-error probability less than 0.1982. We show that this restriction is unnecessary: Oblivious transfer can be realized as efficiently based on any non-trivial binary-symmetric channel between the involved parties.

DOI: 10.1109/isit.2002.1023565

Related papers

Oblivious Transfer Is Symmetric.

Stefan Wolf, Jürg Wullschleger

Abstract. We show that oblivious transfer of bits from A to B can be obtained from a single instance of the same primitive from B to A. Our reduction is perfect and shows that oblivious transfer is in fact a symmetric functionality. This solves an open problem posed by Crépeau and Sántha in 1991. 1

Jan 1, 200415 citations

Coding Constructions for Efficient Oblivious Transfer From Noisy Channels

Frédérique Oggier, Gilles Zémor

We consider oblivious transfer protocols performed over binary symmetric channels in a malicious setting where parties will actively cheat if they can. We provide constructions purely based on coding theory that achieve an explicit positive rate, the essential ingredient being the existence of linear codes whose Schur products are asymptotically good.

arXiv:2008.13551IEEE Transactions on Information TheoryJan 14, 20223 citations

Anonymous Oblivious Transfer

Mueller-Quade, J., Hideki Imai

In this short note we want to introduce {\em anonymous oblivious transfer} a new cryptographic primitive which can be proven to be strictly more powerful than oblivious transfer. We show that all functions can be robustly realized by multi party protocols with {\em anonymous oblivious transfer}. No assumption about possible collusions of cheaters or disruptors have to be made. Furthermore we shortly discuss how to realize anonymous oblivious transfer with oblivious broadcast or by quantum cryptography. The protocol of anonymous oblivious transfer was inspired by a quantum protocol: the anonymous quantum channel.

arXiv:cs/0011004Nov 4, 20005 citations

Oblivious Transfer from Weak Noisy Channels.

Jürg Wullschleger

Abstract. Various results show that oblivious transfer can be implemented using the assumption of noisy channels. Unfortunately, this assumption is not as weak as one might think, because in a cryptographic setting, these noisy channels must satisfy very strong security requirements. Unfair noisy channels, introduced by Damg˚ard, Kilian and Salvail [Eurocrypt ’99], reduce these limitations: They give the adversary an unfair advantage over the honest player, and therefore weaken the security requirements on the noisy channel. However, this model still has many shortcomings: For example, the adversary’s advantage is only allowed to have a very special form, and no error is allowed in the implementation. In this paper we generalize the idea of unfair noisy channels. We introduce two new models of cryptographic noisy channels that we call the weak erasure channel and the weak binary symmetric channel, and show how they can be used to implement oblivious transfer. Our models are more general and use much weaker assumptions than unfair noisy channels, which makes implementation a more realistic prospect. For example, these are the first models that allows the parameters to come from experimental evidence. 1

Jan 1, 20080 citations

On unconditionally secure oblivious transfer from continuous channels

Motohiko Isaka

In this paper, we consider an information theoretically secure cryptographic primitive known as oblivious transfer based on noisy channels. We present a protocol and two approaches to base the primitive on much wider class of signal sets and continuous channels than the existing results on the Gaussian channel. We also evaluate the associated information theoretic efficiency of the protocol for some cases of interest.

IEEE International Symposium on Information Theory (ISIT)Jun 1, 20104 citations

Efficient Cryptographic Protocols based on Noisy Channels

Claude Crépeau

. The Wire-Tap Channel of Wyner [19] shows that a Binary Symmetric Channel may be used as a basis for exchanging a secret key, in a cryptographic scenario of two honest people facing an eavesdropper. Later Cr'epeau and Kilian [9] showed how a BSC may be used to implement Oblivious Transfer in a cryptographic scenario of two possibly dishonest people facing each other. Unfortunately this result is rather impractical as it requires\\Omega (n 11 ) bits to be transmitted through the BSC to accomplish a single OT. The current paper provides efficient protocols to achieve the cryptographic primitives of Bit Commitment and Oblivious Transfer based on the existence of a Binary Symmetric Channel. Our protocols respectively require sending O(n) and O(n 3 ) bits through the BSC. These results are based on a technique known as Generalized Privacy Amplification [1] that allow two people to extract secret information from partially compromised data. 1 Introduction The cryptographic power of a no...

Jan 1, 19960 citations