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We initiate the study of language generation in the limit, a model recently introduced by Kleinberg and Mullainathan [KM24], under the constraint of differential privacy. We consider the continual release model, where a generator must…

Machine Learning · Statistics 2026-04-10 Anay Mehrotra , Grigoris Velegkas , Xifan Yu , Felix Zhou

Practical implementations of secret-key generation are often based on sequential strategies, which handle reliability and secrecy in two successive steps, called reconciliation and privacy amplification. In this paper, we propose an…

Information Theory · Computer Science 2015-08-07 Remi A. Chou , Matthieu R. Bloch , Emmanuel Abbe

In the multiterminal secret key agreement problem, a set of users want to discuss with each other until they share a common secret key independent of their discussion. We want to characterize the maximum secret key rate, called the secrecy…

Information Theory · Computer Science 2018-02-15 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

In this paper, we consider the problem of secret key generation for multiple parties. Multi-user networks usually require a trusted party to efficiently distribute keys to the legitimate users and this process is a weakness against…

Cryptography and Security · Computer Science 2022-08-30 Ufuk Altun , Semiha T. Basaran , Gunes K. Kurt , Enver Ozdemir

A basic two-terminal secret key generation model is considered, where the interactive communication rate between the terminals may be limited, and in particular may not be enough to achieve the maximum key rate. We first prove a…

Information Theory · Computer Science 2017-03-29 Jingbo Liu , Paul Cuff , Sergio Verdú

This work considers the problem of multiterminal secret key agreement by limited total public discussion under the hypergraphical source model. The secrecy capacity as a function of the total discussion rate is completely characterized by a…

Information Theory · Computer Science 2019-11-28 Chung Chan

In this work, we consider a complete covert communication system, which includes the source-model of a stealthy secret key generation (SSKG) as the first phase. The generated key will be used for the covert communication in the second phase…

Information Theory · Computer Science 2017-03-01 Pin-Hsun Lin , Carsten Rudolf Janda , Eduard Axel Jorswieck

We consider secret key generation from relative localization information of a pair of nodes in a mobile wireless network in the presence of a mobile eavesdropper. Our problem can be categorized under the source models of information…

Information Theory · Computer Science 2015-03-19 Onur Gungor , Fangzhou Chen , C. Emre Koksal

In distributed differential privacy, the parties perform analysis over their joint data while preserving the privacy for both datasets. Interestingly, for a few fundamental two-party functions such as inner product and Hamming distance, the…

Cryptography and Security · Computer Science 2022-06-20 Iftach Haitner , Noam Mazor , Jad Silbak , Eliad Tsfadia

We consider problems of authentication using secret key generation under a privacy constraint on the enrolled source data. An adversary who has access to the stored description and correlated side information tries to deceive the…

Cryptography and Security · Computer Science 2015-04-08 Kittipong Kittichokechai , Giuseppe Caire

The multiterminal secret key agreement problem by public discussion is formulated with an additional source compression step where, prior to the public discussion phase, users independently compress their private sources to filter out…

Information Theory · Computer Science 2017-11-22 Chung Chan

Communication complexity refers to the minimum rate of public communication required for generating a maximal-rate secret key (SK) in the multiterminal source model of Csiszar and Narayan. Tyagi recently characterized this communication…

Information Theory · Computer Science 2014-01-14 Manuj Mukherjee , Navin Kashyap

The key-leakage-storage region is derived for a generalization of a classic two-terminal key agreement model. The additions to the model are that the encoder observes a hidden, or noisy, version of the identifier, and that the encoder and…

Information Theory · Computer Science 2020-02-27 Onur Günlü , Gerhard Kramer

We study channel resolvability for the discrete memoryless multiple-access channel with cribbing, i.e., the characterization of the amount of randomness required at the inputs to approximately produce a chosen i.i.d. output distribution…

Information Theory · Computer Science 2018-11-29 Noha Helal , Matthieu Bloch , Aria Nosratinia

A general multi-terminal source code and a general multi-terminal channel code are presented. Constrained-random-number generators with sparse matrices, which are building blocks for the code construction, are used in the construction of…

Information Theory · Computer Science 2018-01-11 Jun Muramatsu , Shigeki Miyake

For the multiterminal secret key agreement problem, new single-letter lower bounds are obtained on the public discussion rate required to achieve any given secret key rate below the secrecy capacity. The results apply to general source…

Information Theory · Computer Science 2017-01-20 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

We study common randomness where two parties have access to i.i.d. samples from a known random source, and wish to generate a shared random key using limited (or no) communication with the largest possible probability of agreement. This…

Computational Complexity · Computer Science 2017-07-26 Badih Ghazi , T. S. Jayram

We consider the generation of a secret key (SK) by the inputs and the output of a secure multipleaccess channel (MAC) that additionally have access to a noiseless public communication channel. Under specific restrictions on the protocols,…

Information Theory · Computer Science 2019-02-26 Himanshu Tyagi , Shun Watanabe

We consider in this paper the information-theoretic secure key distribution problem over main and wire-tap noise channels with a public discussion in presence of an active adversary. In contrast to the solution proposed by ourselves for a…

Information Theory · Computer Science 2010-05-19 Viktor Yakovlev , Valery Korzhik , Guillermo Morales-Luna , Mihail Bakaev

A secret key agreement setup between three users is considered in which each of the users 1 and 2 intends to share a secret key with user 3 and users 1 and 2 are eavesdroppers with respect to each other. The three users observe i.i.d.…

Information Theory · Computer Science 2012-04-16 Somayeh Salimi , Mikael Skoglund