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In this paper, an algorithm for determining 3-colorability, i.e. the decision problem (YES/NO), in planar graphs is presented. The algorithm, although not exact (it could produce false positives) has two very important features: (i) it has…

Discrete Mathematics · Computer Science 2011-02-01 Jose Antonio Martin H

A Zero-Knowledge Protocol (ZKP) allows one party to convince another party of a fact without disclosing any extra knowledge except the validity of the fact. For example, it could be used to allow a customer to prove their identity to a…

Quantum Physics · Physics 2023-04-20 Claude Crépeau , John Stuart

The no-cloning property of quantum mechanics allows unforgeability of quantum banknotes and credit cards. Quantum credit card protocols involve a bank, a client and a payment terminal, and their practical implementation typically relies on…

Quantum Physics · Physics 2019-02-28 Mathieu Bozzio , Eleni Diamanti , Frédéric Grosshans

Zero-knowledge proofs (ZKPs) have evolved from a theoretical cryptographic concept into a powerful tool for implementing privacy-preserving and verifiable applications without requiring trust assumptions. Despite significant progress in the…

Cryptography and Security · Computer Science 2025-05-01 Stefanos Chaliasos , Imam Al-Fath , Alastair Donaldson

Secure multi-party computation is an area in cryptography which studies how multiple parties can compare their private information without revealing it. Besides digital protocols, many unconventional protocols for secure multi-party…

Cryptography and Security · Computer Science 2026-03-18 Suthee Ruangwises

Distributed certification is a set of mechanisms that allows an all-knowing prover to convince the units of a communication network that the network's state has some desired property, such as being 3-colorable or triangle-free. Classical…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-12 Alex B. Grilo , Ami Paz , Mor Perry

Zero-knowledge proof (ZKP) is a fundamental cryptographic primitive that allows a prover to convince a verifier of the validity of a statement without leaking any further information. As an efficient variant of ZKP, non-interactive…

We live in an era of information and it is very important to handle the exchange of information. While sending data to an authorized source, we need to protect it from unauthorized sources, changes, and authentication. ZKP technique can be…

Cryptography and Security · Computer Science 2019-11-22 Lavish Saluja , Ashutosh Bhatia

In the generalized Russian cards problem, Alice, Bob and Cath draw $a$, $b$ and $c$ cards, respectively, from a deck of size $a+b+c$. Alice and Bob must then communicate their entire hand to each other, without Cath learning the owner of a…

Information Theory · Computer Science 2014-03-27 Andrés Cordón-Franco , Hans van Ditmarsch , David Fernández-Duque , Fernando Soler-Toscano

Zero-knowledge proof (ZKP) systems have surged attention and held a fundamental role in contemporary cryptography. Zero-knowledge succinct non-interactive argument of knowledge (zk-SNARK) protocols dominate the ZKP usage, implemented…

Software Engineering · Computer Science 2025-12-23 Qizhe Yang , Boxuan Liang , Hao Chen , Guoqiang Li

A proof of quantumness (PoQ) allows a classical verifier to efficiently test if a quantum machine is performing a computation that is infeasible for any classical machine. In this work, we propose a new approach for constructing PoQ…

Quantum Physics · Physics 2025-06-02 Giulio Malavolta , Tamer Mour

This paper studies the problem of Zero-Knowledge Protocol (ZKP) and elliptic curve cryptographic implementation in a computationally limited environment, such as, the smart cards, using Java Card. Besides that, it is explained how the…

Cryptography and Security · Computer Science 2023-09-01 Carlos Andres Agudelo Serna

A new interactive quantum zero-knowledge protocol for identity authentication implementable in currently available quantum cryptographic devices is proposed and demonstrated. The protocol design involves a verifier and a prover knowing a…

This paper introduces quantum analogues of non-interactive perfect and statistical zero-knowledge proof systems. Similar to the classical cases, it is shown that sharing randomness or entanglement is necessary for non-trivial protocols of…

Quantum Physics · Physics 2007-05-23 Hirotada Kobayashi

The research described in this abstract was initiated by discussions between the author and Giovanni Di Crescenzo in Barcelona in early 2004. It was during Advanced Course on Contemporary Cryptology that Di Crescenzo gave a course on zero…

Cryptography and Security · Computer Science 2007-08-24 Kamil Kulesza

Identity verification is the process of confirming an individual's claimed identity, which is essential in sectors like finance, healthcare, and online services to ensure security and prevent fraud. However, current password/PIN-based…

Cryptography and Security · Computer Science 2025-07-22 Yao Ma , Wen Yu Kon , Jefferson Chu , Kevin Han Yong Loh , Kaushik Chakraborty , Charles Lim

In this paper, we present a simple bare-bones solution of a Zero-Knowledge authentication protocol which uses non-commutative algebra and a variation of the generalized symmetric decomposition problem (GSDP) as a one-way function. The…

Cryptography and Security · Computer Science 2017-03-28 Pedro Hecht

UNO is a popular multiplayer card game. In each turn, a player has to play a card in their hand having the same number or color as the most recently played card. When having few people, adding virtual players to play the game can easily be…

Cryptography and Security · Computer Science 2026-03-18 Suthee Ruangwises , Kazumasa Shinagawa

Zero-knowledge proofs are mathematical cryptographic methods to demonstrate the validity of a claim while providing no further information beyond the claim itself. The possibility of using such proofs to process classified and other…

Instrumentation and Detectors · Physics 2016-12-02 Sébastien Philippe , Robert J. Goldston , Alexander Glaser , Francesco d'Errico

This study proposes a lightweight Zero-Knowledge authentication model supported by QR codes. The approach is based on the Schnorr authentication protocol and provides an additional security layer against replay attacks through nonce and…

Cryptography and Security · Computer Science 2026-05-19 Hüseyin Bodur