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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

A card-based secure computation protocol is a method for $n$ parties to compute a function $f$ on their private inputs $(x_1,\ldots,x_n)$ using physical playing cards, in such a way that the suits of revealed cards leak no information…

Cryptography and Security · Computer Science 2025-10-21 Reo Eriguchi , Kazumasa Shinagawa

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

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

When working with joint collections of confidential data from multiple sources, e.g., in cloud-based multi-party computation scenarios, the ownership relation between data providers and their inputs itself is confidential information.…

Cryptography and Security · Computer Science 2020-02-14 Kilian Becher , Thorsten Strufe

Research in secure multi-party computation using a deck of playing cards, often called card-based cryptography, dates back to 1989 when Den Boer introduced the "five-card trick" to compute the logical AND function. Since then, many…

Cryptography and Security · Computer Science 2022-10-26 Suthee Ruangwises

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 this paper we study the computational complexity of functions that have efficient card-based protocols. Card-based protocols were proposed by den Boer [EUROCRYPT '89] as a means for secure two-party computation. Our contribution is…

Computational Complexity · Computer Science 2020-10-19 Pavel Dvořák , Michal Koucký

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

This paper considers the effect of riffle shuffling on decks of cards, allowing for some cards to be indistinguishable from other cards. The dual problem of dealing a game with hands, such as bridge or poker, is also considered. The…

Probability · Mathematics 2010-02-10 Mark Conger , Jason Howald

We study the question of how to shuffle $n$ cards when faced with an opponent who knows the initial position of all the cards {\em and} can track every card when permuted, {\em except} when one takes $K< n$ cards at a time and shuffles them…

Data Structures and Algorithms · Computer Science 2012-06-29 Michael T. Goodrich , Michael Mitzenmacher

We consider a card guessing game with complete feedback. An ordered deck of $n$ cards labeled $1$ up to $n$ is shelf-shuffled exactly one time. One after the other a single card is drawn from the shuffled deck. The guesser makes has guess…

Combinatorics · Mathematics 2026-02-24 Markus Kuba

The shuffle model of differential privacy was proposed as a viable model for performing distributed differentially private computations. Informally, the model consists of an untrusted analyzer that receives messages sent by participating…

Cryptography and Security · Computer Science 2020-09-29 Amos Beimel , Iftach Haitner , Kobbi Nissim , Uri Stemmer

We consider a card guessing game with complete feedback. An ordered deck of $n$ cards labeled $1$ up to $n$ is riffle-shuffled exactly one time. Given a value $p\in(0{,}1)\setminus\{\frac12\}$, the riffle shuffle is assumed to be…

Combinatorics · Mathematics 2026-02-13 Markus Kuba

Multiparty computation is raising importance because it's primary objective is to replace any trusted third party in the distributed computation. This work presents two multiparty shuffling protocols where each party, possesses a private…

Cryptography and Security · Computer Science 2021-03-10 Dhaneshwar Mardi , Surbhi Tanwar , Jaydeep Howlader

We outline the need for stricter requirements for unconditionally secure cryptographic protocols inspired by the Russian Cards problem. A new requirement CA4 is proposed that checks for bias in single card occurrence in announcements…

Cryptography and Security · Computer Science 2011-11-02 M. D. Atkinson , H. P. van Ditmarsch , S. Roehling

When shuffling a deck of cards, one probably wants to make sure it is thoroughly shuffled. A way to do this is by sifting through the cards to ensure that no adjacent cards are the same number, because surely this is a poorly shuffled deck.…

Combinatorics · Mathematics 2019-11-19 James Enouen

Frequently, randomly organized data is needed to avoid an anomalous operation of other algorithms and computational processes. An analogy is that a deck of cards is ordered within the pack, but before a game of poker or solitaire the deck…

Data Structures and Algorithms · Computer Science 2008-11-24 William F. Gilreath

Consider a randomly shuffled deck of $2n$ cards with $n$ red cards and $n$ black cards. We study the average number of moves it takes to go from a randomly shuffled deck to a deck that alternates in color by performing the following move:…

Probability · Mathematics 2024-10-09 Joel Brewster Lewis , Mehr Rai

Consider n cards that are labeled 1 through n with n an even integer. The cards are put face down and their ordering starts with card labeled 1 on top through card labeled n at the bottom. The cards are top to random shuffled m times and…

Probability · Mathematics 2010-06-08 Lerna Pehlivan
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