[Resource Topic] 2009/570: Achieving Oblivious Transfer Capacity of Generalized Erasure Channels in the Malicious Model

Welcome to the resource topic for 2009/570

Title:
Achieving Oblivious Transfer Capacity of Generalized Erasure Channels in the Malicious Model

Authors: Adriana C. B. Pinto, Rafael Dowsley, Kirill Morozov, Anderson C. A. Nascimento

Abstract:

Information-theoretically secure string oblivious transfer (OT) can be constructed based on discrete memoryless channel (DMC). The oblivious transfer capacity of a channel characterizes – similarly to the (standard) information capacity – how efficiently it can be exploited for secure oblivious transfer of strings. The OT capacity of a Generalized Erasure Channel (GEC) - which is a combination of a (general) DMC with the erasure channel - has been established by Ahlswede and Csizar at ISIT’07 in the case of passive adversaries. In this paper, we present the protocol that achieves this capacity against malicious adversaries for GEC with erasure probability at least 1/2. Our construction is based on the protocol of Crépeau and Savvides from Eurocrypt’06 which uses interactive hashing (IH). We solve an open question posed by the above paper, by basing it upon a constant round IH scheme (previously proposed by Ding et al at TCC’04). As a side result, we show that Ding et al IH protocol can deal with transmission errors.

ePrint: https://eprint.iacr.org/2009/570

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .