Rates for bit commitment and coin tossing from noisy correlation
Hiroyuki Imai, Joern Mueller-Quade, Anderson C. A. Nascimento, Andreas Winter
Abstract
Hiroyuki Imai, Joern Mueller-Quade, Anderson C. A. Nascimento, Andreas Winter
Abstract
This paper studies the optimisation of the channel with cryptographic primitives such as coin tossing and oblivious transfer by committing to a set of strings. The main contribution of this paper is that the commitment is possible from any nontrivial correlation at rates when the sender is Alice and Bob, those rates are optimal. Also the coin tossing capacity is infinite for every channel having a positive bit commitment rate.
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This paper studies the optimisation of the channel with cryptographic primitives such as coin tossing and oblivious transfer by committing to a set of strings. The main contribution of this paper is that the commitment is possible from any nontrivial correlation at rates when the sender is Alice and Bob, those rates are optimal. Also the coin tossing capacity is infinite for every channel having a positive bit commitment rate.
Key concepts: Coin flipping, Communication source, Oblivious transfer, Alice and Bob, Computer science, Commitment scheme, Bit (key), Set (abstract data type)