A Note on Single-Cut Full-Open Protocols

TL;DR

This paper introduces three new single-cut full-open protocols in card-based cryptography, enabling secure computation of three- and four-variable functions through random cuts and card revelations.

Contribution

It presents novel protocols for three- and four-variable functions using single-cut full-open techniques in card-based cryptography.

Findings

Two protocols for three-variable functions

One protocol for four-variable functions

Protocols ensure secure computation with card shuffles

Abstract

Card-based cryptography is a research area that realizes cryptographic protocols such as secure computation by applying shuffles to sequences of cards that encode input values. A single-cut full-open protocol is one that obtains an output value by applying a random cut to an input sequence of cards, after which all cards are opened. In this paper, we propose three single-cut full-open protocols: two protocols for three-variable functions and one protocol for a four-variable function.