In cryptography, the open vote network (or OV-net) is a secure multi-party computation protocol to compute the boolean-count function: namely, given a set of binary values 0/1 in the input, compute the total count of ones without revealing each individual value. This protocol was proposed by Feng Hao, Peter Ryan, and Piotr Zieliński in 2010. It extends Hao and Zieliński's anonymous veto network protocol by allowing each participant to count the number of veto votes (i.e., input one in a boolean-OR function) while preserving the anonymity of those who have voted. The protocol can be generalized to support a wider range of inputs beyond just the binary values 0 and 1.
Description All participants agree on a group G {\displaystyle \scriptstyle G} with a generator g {\displaystyle \scriptstyle g} of prime order q {\displaystyle \scriptstyle q} in which the discrete logarithm problem is hard. For example, a Schnorr group can be used. Assume there are n {\displaystyle \scriptstyle n} participants. Unlike other secure multi-party computation protocols that typically require pairwise secret and authenticated channels between participants in addition to an authenticated public channel, OV-net only requires an authenticated public channel available to every participant. Such a channel may be realized by using digital signatures. The protocol runs in two rounds. Round 1: each participant i {\displaystyle \scriptstyle i} selects a random value x i ∈ R Z q {\displaystyle \scriptstyle x_{i}\,\in _{R}\,\mathbb {Z} _{q}} and publishes the ephemeral public key g x i {\displaystyle \scriptstyle g^{x_{i}}} together with a zero-knowledge proof for the proof of the knowledge of the exponent x i {\displaystyle \scriptstyle x_{i}} . Such proofs may be realized by using Schnorr non-interactive zero-knowledge proofs as described in RFC 8235. After this round, each participant computes:
g y i = ∏ j < i g x j / ∏ j > i g x j {\displaystyle g^{y_{i}}=\prod _{j<i}g^{x_{j}}/\prod _{j>i}g^{x_{j}}}
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