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Secure multi-party computation using a deck of playing cards has been a subject of research since the "five-card trick" introduced by den Boer in 1989. One of the main problems in card-based cryptography is to design committed-format…

Cryptography and Security · Computer Science 2019-07-31 Suthee Ruangwises , Toshiya Itoh

In a recently introduced coset guessing game, Alice plays against Bob and Charlie, aiming to meet a joint winning condition. Bob and Charlie can only communicate before the game starts to devise a joint strategy. The game we consider begins…

Quantum Physics · Physics 2025-10-01 Michael Schleppy , Emina Soljanin , Nicolas Swanson

In the conditional disclosure of secrets (CDS) problem, Alice and Bob (each holds an input and a common secret) wish to disclose, as efficiently as possible, the secret to Carol if and only if their inputs satisfy some function. The…

Information Theory · Computer Science 2020-02-14 Zhou Li , Hua Sun

In quantum weak oblivious transfer, Alice sends Bob two bits and Bob can learn one of the bits at his choice. It was found that the security of such a protocol is bounded by $2P_{Alice}^{\ast }+P_{Bob}^{\ast }\geq 2$, where $P_{Alice}^{\ast…

Quantum Physics · Physics 2015-06-15 Guang Ping He

In the game of Matching Pennies, Alice and Bob each hold a penny, and at every tick of the clock they simultaneously display the head or the tail sides of their coins. If they both display the same side, then Alice wins Bob's penny; if they…

Computer Science and Game Theory · Computer Science 2018-02-05 Dusko Pavlovic , Peter-Michael Seidel , Muzamil Yahia

Alice and Bob are connected via a two-way channel, and Alice wants to send a message of $L$ bits to Bob. An adversary flips an arbitrary but finite number of bits, $T$, on the channel. This adversary knows our algorithm and Alice's message,…

Cryptography and Security · Computer Science 2017-07-27 Abhinav Aggarwal , Varsha Dani , Thomas Hayes , Jared Saia

We consider a card guessing strategy for a stack of cards with two different types of cards, say $m_1$ cards of type red (heart or diamond) and $m_2$ cards of type black (clubs or spades). Given a deck of $M=m_1+m_2$ cards, we propose a…

Combinatorics · Mathematics 2023-03-09 Markus Kuba , Alois Panholzer

Wireless secret sharing is crucial to information security in the era of Internet of Things. One method is to utilize the effect of the randomness of the wireless channel in the data link layer to generate the common secret between two…

Networking and Internet Architecture · Computer Science 2021-01-28 Lei Miao , Dingde Jiang

We start with the well-known game below: Two players hold a sheet of paper to their forehead on which a positive integer is written. The numbers are consecutive and each player can only see the number of the other one. In each time step,…

Combinatorics · Mathematics 2013-02-26 Felix Günther , Irina Mustata

If Alice must communicate with Bob over a channel shared with the adversarial Eve, then Bob must be able to validate the authenticity of the message. In particular we consider the model where Alice and Eve share a discrete memoryless…

Information Theory · Computer Science 2016-09-30 Eric Graves , Paul Yu , Predrag Spasojevic

We consider the generic problem of Secure Aggregation of Distributed Information (SADI), where several agents acting as a team have information distributed among them, modeled by means of a publicly known deck of cards distributed among the…

Cryptography and Security · Computer Science 2015-04-29 David Fernández-Duque , Valentin Goranko

In communication complexity the input of a function $f:X\times Y\rightarrow Z$ is distributed between two players Alice and Bob. If Alice knows only $x\in X$ and Bob only $y\in Y$, how much information must Alice and Bob share to be able to…

Computational Complexity · Computer Science 2026-04-15 Simon Mackenzie , Abdallah Saffidine

Oblivious transfer is a fundamental cryptographic primitive in which Bob transfers one of two bits to Alice in such a way that Bob cannot know which of the two bits Alice has learned. We present an optimal security bound for quantum…

Quantum Physics · Physics 2016-08-31 André Chailloux , Gus Gutoski , Jamie Sikora

Consider the following experiment: a deck with $m$ copies of $n$ different card types is randomly shuffled, and a guesser attempts to guess the cards sequentially as they are drawn. Each time a guess is made, some amount of "feedback" is…

Probability · Mathematics 2023-06-22 Persi Diaconis , Ron Graham , Xiaoyu He , Sam Spiro

In a variant of communication tasks, players cooperate in choosing their local strategies to compute a given task later, working separately. Utilizing quantum bits for communication and sharing entanglement between parties is a recognized…

Quantum Physics · Physics 2024-10-01 Ryszard Kukulski , Paulina Lewandowska , Karol Życzkowski

In this paper, we investigate joint information theoretic secrecy and covert communication in a single-input multi-output (SIMO) system where a transmitter (Alice) is communicating with two legitimate users (Bob and Carol). We consider that…

Signal Processing · Electrical Eng. & Systems 2020-07-13 Moslem Forouzesh , Paeiz Azmi , Ali Kuhestani , Phee Lep Yeoh

We propose a new classical bit commitment protocol using the relativistic constraint that signals cannot travel faster than the speed of light $c$. This protocol is unconditionally secure against both classical or quantum attacks. The…

Quantum Physics · Physics 2014-04-29 Chi-Yee Cheung

We consider a setup in which the channel from Alice to Bob is less noisy than the channel from Eve to Bob. We show that there exist encoding and decoding which accomplish error correction and authentication simultaneously; that is, Bob is…

Information Theory · Computer Science 2018-04-06 Dimiter Ostrev

In this paper, we provide a probabilistic analysis of the confidentiality in a card-based protocol. We focus on Bert den Boer's original Five Card Trick to develop our approach. Five Card Trick was formulated as a secure two-party…

Cryptography and Security · Computer Science 2025-11-10 Do Hyun Kim , Ahmet Cetinkaya

Alice holds an random variable $X$, and Bob is trying to guess its value by asking questions of the form "is $X=x$?". Alice answers truthfully and the game terminates once Bob guesses correctly. Before the game begins, Bob is allowed to…

Information Theory · Computer Science 2018-06-15 Amir Burin , Ofer Shayevitz