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Generalized Oblivious Transfer Protocols Based on Noisy Channels
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Generalized Oblivious Transfer Protocols Based on Noisy Channels
Valeri Korjik7 and Kirill Morozov8 
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Section of Telecommunications, IPN CINVESTAV, AV. IPN No. 2508 ESQ Ticoman, Col. San Pedro, Zacatenco, C.P. 07000, Mexico D.F., Mexico |
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Telecommunications Security Department, State University of Telecommunications, Moika 65, St. Petersburg, 191186, Russia |
Abstract
The main cryptographic primitives (Bit Commitment (BC) and Oblivious Transfer (OT) protocols) based on noisy channels have
been considered in F[1] for asymptotic case. Non-asymptotic behavior of BC protocol has been demonstrated in [2]. The current paper provides stricter asymptotic conditions on Binary Symmetric Channel (BSC) to be feasible OT protocol
proposed in [1]. We also generalize this protocol using different encoding and decoding methods that require to regain formulas for Renyi
entropy. Nonasymptotic case (finite length of blocks transmitted between parties) is also presented. Some examples are given
to demonstrate that these protocols are in fact reliable and information-theoretically secure. We also discuss the problem
— how to extend ( 1/2)-OT protocol to (1
L)-OT protocol and how to arrange BSC connecting parties. Both BC and OT protocols can be used as components of more complex
and more important for practice protocols like “Digital cash”, “Secure election” or “Distance bounding”.
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