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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

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

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

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

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

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

Three different quantum cards which are non-orthogonal quantum bits are sent to two different players, Alice and Bob, randomly. Alice receives one of the three cards, and Bob receives the remaining two cards. We find that Bob could know…

Quantum Physics · Physics 2007-05-23 Chih-Lung Chou , Li-Yi Hsu

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 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

We study the one-way two-party communication complexity of Maximum Matching in the semi-robust setting where the edges of a maximum matching are randomly partitioned between Alice and Bob, but all remaining edges of the input graph are…

Data Structures and Algorithms · Computer Science 2025-12-12 Gabriel Cipriani Huete , Adithya Diddapur , Pavel Dvořák , Christian Konrad

A novel scheme for secure direct communication between Alice and Bob is proposed, where there is no need for establishing a shared secret key. The communication is based on Einstein-Podolsky-Rosen pairs and teleportation between Alice and…

Quantum Physics · Physics 2009-11-10 Fengli Yan , Xiaoqiang Zhang

We consider the scenario where Alice wants to send a secret (classical) $n$-bit message to Bob using a classical key, and where only one-way transmission from Alice to Bob is possible. In this case, quantum communication cannot help to…

Quantum Physics · Physics 2007-05-23 Ivan Damgaard , Thomas Pedersen , Louis Salvail

We study the problem of discrete distribution testing in the two-party setting. For example, in the standard closeness testing problem, Alice and Bob each have $t$ samples from, respectively, distributions $a$ and $b$ over $[n]$, and they…

Data Structures and Algorithms · Computer Science 2018-11-12 Alexandr Andoni , Tal Malkin , Negev Shekel Nosatzki

We present a scheme for direct and confidential communication between Alice and Bob, where there is no need for establishing a shared secret key first, and where the key used by Alice even will become known publicly. The communication is…

Quantum Physics · Physics 2007-05-23 Almut Beige , Berthold-Georg Englert , Christian Kurtsiefer , Harald Weinfurter

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

This paper develops a new physical layer framework for secure two-way wireless communication in the presence of a passive eavesdropper, i.e., Eve. Our approach achieves perfect information theoretic secrecy via a novel randomized scheduling…

Information Theory · Computer Science 2009-08-27 Aly El Gamal , Moustafa Youssef , Hesham El Gamal

Quantum key distribution allows two parties, traditionally known as Alice and Bob, to establish a secure random cryptographic key if, firstly, they have access to a quantum communication channel, and secondly, they can exchange classical…

Quantum Physics · Physics 2007-05-23 Matthias Christandl , Renato Renner , Artur Ekert

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 survey the most important results and some recent developments about the secure key exchange protocol where the security is based on the Second Law of Thermodynamics and the robustness of classical physical information. We conclude that…

General Physics · Physics 2010-04-28 Laszlo B. Kish
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