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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

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

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

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

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

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

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

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

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

A novel secure communication protocol is presented, based on an entangled pair of qubits and allowing asymptotically secure key distribution and quasi-secure direct communication. Since the information is transferred in a deterministic…

Quantum Physics · Physics 2009-11-07 Kim Bostroem , Timo Felbinger

In distributed interactive proofs, the nodes of a graph G interact with a powerful but untrustable prover who tries to convince them, in a small number of rounds and through short messages, that G satisfies some property. This series of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Pedro Montealegre , Diego Ramírez-Romero , Ivan Rapaport

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

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

We consider the problems of deterministic broadcasting and gossiping in completely unknown ad-hoc radio networks. We assume that nothing is known to the nodes about the topology or even the size of the network, $n$, except that $n > 1$.…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-31 Shailesh Vaya

A secret can be an encrypted message or a private key to decrypt the ciphertext. One of the main issues in cryptography is keeping this secret safe. Entrusting secret to one person or saving it in a computer can conclude betrayal of the…

Cryptography and Security · Computer Science 2017-05-10 Mohsen Moradi

As large-scale theft of data from corporate servers is becoming increasingly common, it becomes interesting to examine alternatives to the paradigm of centralizing sensitive data into large databases. Instead, one could use cryptography and…

Artificial Intelligence · Computer Science 2014-07-15 Thomas Leaute , Boi Faltings

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

This paper studies the problem of multi-agent computation under the differential privacy requirement of the agents' local datasets against eavesdroppers having node-to-node communications. We first propose for the network equipped with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-06 Lei Wang , Yang Liu , Ian Manchester , Guodong Shi

In large-scale Internet of things networks, efficient medium access control (MAC) is critical due to the growing number of devices competing for limited communication resources. In this work, we consider a new challenge in which a set of…

Networking and Internet Architecture · Computer Science 2025-11-11 Lorenzo Mario Amorosa , Zhan Gao , Roberto Verdone , Petar Popovski , Deniz Gündüz
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