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The problem of $A$ privately transmitting information to $B$ by a public announcement overheard by an eavesdropper $C$ is considered. To do so by a deterministic protocol, their inputs must be correlated. Dependent inputs are represented…

Cryptography and Security · Computer Science 2020-09-30 Sergio Rajsbaum

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

In the generalized Russian cards problem, we have a card deck $X$ of $n$ cards and three participants, Alice, Bob, and Cathy, dealt $a$, $b$, and $c$ cards, respectively. Once the cards are dealt, Alice and Bob wish to privately communicate…

Cryptography and Security · Computer Science 2014-08-06 Colleen M. Swanson , Douglas R. Stinson

In the Russian cards problem, Alice, Bob and Cath draw $a$, $b$ and $c$ cards, respectively, from a publicly known deck. Alice and Bob must then communicate their cards to each other without Cath learning who holds a single card. Solutions…

Cryptography and Security · Computer Science 2015-06-23 Esteban Landerreche , David Fernández-Duque

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

In the generalized Russian cards problem, the three players Alice, Bob and Cath draw a,b and c cards, respectively, from a deck of a+b+c cards. Players only know their own cards and what the deck of cards is. Alice and Bob are then required…

Cryptography and Security · Computer Science 2013-01-25 Andrés Cordón-Franco , Hans van Ditmarsch , David Fernández-Duque , Fernando Soler-Toscano

Consider three players Alice, Bob and Cath who hold a, b and c cards, respectively, from a deck of d=a+b+c cards. The cards are all different and players only know their own cards. Suppose Alice and Bob wish to communicate their cards to…

Discrete Mathematics · Computer Science 2013-02-27 Andres Cordon-Franco , Hans van Ditmarsch , David Fernandez-Duque , Joost J. Joosten , Fernando Soler-Toscano

We present the first formal mathematical presentation of the generalized Russian cards problem, and provide rigorous security definitions that capture both basic and extended versions of weak and perfect security notions. In the generalized…

Combinatorics · Mathematics 2012-07-06 Colleen M. Swanson , Douglas R. Stinson

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

We study a general scenario where confidential information is distributed among a group of agents who wish to share it in such a way that the data becomes common knowledge among them but an eavesdropper intercepting their communications…

Cryptography and Security · Computer Science 2015-07-03 David Fernández-Duque

Coin flipping is a cryptographic primitive in which two spatially separated players, who in principle do not trust each other, wish to establish a common random bit. If we limit ourselves to classical communication, this task requires…

Quantum Physics · Physics 2013-05-29 Guido Berlin , Gilles Brassard , Felix Bussieres , Nicolas Godbout

Card-based cryptography uses physical playing cards to construct protocols for secure multi-party computation. Existing card-based protocols employ various types of shuffles, some of which are easy to implement in practice while others are…

Cryptography and Security · Computer Science 2026-05-15 Tomoki Ono , Suthee Ruangwises

In this paper we proposed an authentication technique based on the user cards, to improve the authentication process in systems that allows remote access for the users, and raise the security rate during an exchange of their messages. in…

Cryptography and Security · Computer Science 2021-08-17 Ibrahim Obeidat , Ahmed AL Arjan , Rula AL Amrat , Rathaa AL Ajmi

We present a new protocol and two lower bounds for quantum coin flipping. In our protocol, no dishonest party can achieve one outcome with probability more than 0.75. Then, we show that our protocol is optimal for a certain type of quantum…

Quantum Physics · Physics 2008-05-12 Andris Ambainis

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

Coin flipping is a cryptographic primitive in which two distrustful parties wish to generate a random bit in order to choose between two alternatives. This task is impossible to realize when it relies solely on the asynchronous exchange of…

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…

Cryptography and Security · Computer Science 2025-07-08 Kazumasa Shinagawa , Koji Nuida

Coin-flipping is a fundamental task in two-party cryptography where two remote mistrustful parties wish to generate a shared uniformly random bit. While quantum protocols promising near-perfect security exist for weak coin-flipping -- when…

Quantum Physics · Physics 2025-10-06 Atul Singh Arora , Carl A. Miller , Mauro E. S. Morales , Jamie Sikora

We consider a problem, which we call secure grouping, of dividing a number of parties into some subsets (groups) in the following manner: Each party has to know the other members of his/her group, while he/she may not know anything about…

Cryptography and Security · Computer Science 2018-10-17 Yuji Hashimoto , Kazumasa Shinagawa , Koji Nuida , Masaki Inamura , Goichiro Hanaoka

This paper introduces mathematical optimization as a new method for proving impossibility results in the field of card-based cryptography. While previous impossibility proofs were often limited to cases involving a small number of cards,…

Cryptography and Security · Computer Science 2025-11-07 Shunnosuke Ikeda , Kazumasa Shinagawa
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