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Merge pull request #20 from private-attribution/eriktaubeneck-patch-1
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martinthomson authored Jul 8, 2024
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6 changes: 3 additions & 3 deletions draft-savage-ppm-3phm-mpc.md
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Expand Up @@ -115,7 +115,7 @@ Concretely, this means that a single dishonest party cannot cause the value of
inputs to be revealed. Also, a single dishonest party cannot alter the output of
any operation without detection. The protocol is aborted if honest parties
detect an error that might indicate the actions of a dishonest party. This means
that a dishonest party can disrupt the protocol
that a dishonest party can disrupt the protocol.


## MPC Protocol Prerequisites
Expand Down Expand Up @@ -153,7 +153,7 @@ A simple realization of a ring is formed of integers modulo a chosen integer
that is greater than 1.

The validation protocol described in this document (see {{validation}}) uses a
modulo 2 ring. This ring is referred to throughput as a binary field as it is
modulo 2 ring. This ring is referred to throughout as a binary field as it is
also a field and it contains two values: 0 and 1. Addition and multiplication in
a binary field correspond to Boolean operations. Addition in a binary field is
equivalent to the Boolean exclusive OR (XOR) operation. Multiplication in a
Expand Down Expand Up @@ -369,7 +369,7 @@ masking does not alter the result. Importantly, the value of `r_+` is not
known to P<sub>-</sub>, which ensures that `z_-` cannot be used by P<sub>-</sub>
to recover `x` or `y`. Thus, `z_-` is safe to send to P<sub>-</sub>.

Upon receiving a value from its right -- which the recipient names `z_+` — each
Upon receiving a value from its right which the recipient names `z_+` — each
helper is now in possession of two-of-three shares, (`z_-`, `z_+`), which is a
replicated secret sharing of the product of `x` and `y`.

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