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We consider the problem of encoding information in a system of N=K+R processors that operate in a decentralized manner, i.e., without a central processor which orchestrates the operation. The system involves K source processors, each…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-26 Canran Wang , Netanel Raviv

Sparse regression codes with approximate message passing (AMP) decoding have gained much attention in recent times. The concepts underlying this coding scheme extend to unsourced random access with coded compressed sensing (CCS), as first…

Information Theory · Computer Science 2020-10-12 Vamsi K. Amalladinne , Asit Kumar Pradhan , Cynthia Rush , Jean-Francois Chamberland , Krishna R. Narayanan

We construct general schemes for multi-partite quantum secret sharing using multi-level systems, and find that the consistent conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using the very…

Quantum Physics · Physics 2015-07-22 I-Ching Yu , Feng-Li Lin , Ching-Yu Huang

We consider the leakage resilience of AG code-based ramp secret sharing schemes extending the leakage resilience of linear threshold secret sharing schemes over prime fields done by Benhamouda et al. Since there is not any explicit…

Information Theory · Computer Science 2021-06-01 Ivan Tjuawinata , Chaoping Xing

The security of code-based cryptography relies primarily on the hardness of generic decoding with linear codes. The best generic decoding algorithms are all improvements of an old algorithm due to Prange: they are known under the name of…

Cryptography and Security · Computer Science 2022-10-18 Kevin Carrier , Thomas Debris-Alazard , Charles Meyer-Hilfiger , Jean-Pierre Tillich

This paper considers the problem of distributed source coding for a large network. A major obstacle that poses an existential threat to practical deployment of conventional approaches to distributed coding is the exponential growth of the…

Information Theory · Computer Science 2013-01-08 Kumar Viswanatha , Sharadh Ramaswamy , Ankur Saxena , Emrah Akyol , Kenneth Rose

We study the problem of efficient compression of a stochastic source of probability distributions. It can be viewed as a generalization of Shannon's source coding problem. It has relation to the theory of common randomness, as well as to…

Quantum Physics · Physics 2016-09-08 Andreas Winter

An unconventional encoding scheme called concurrent coding, has recently been demonstrated and shown to offer interesting features and benefits in comparison to conventional techniques, e.g. robustness against burst errors and improved…

Information Theory · Computer Science 2020-06-29 David M Benton

The information spectrum approach gives general formulae for optimal rates of various information theoretic protocols, under minimal assumptions on the nature of the sources, channels and entanglement resources involved. This paper…

Quantum Physics · Physics 2007-05-23 Garry Bowen , Nilanjana Datta

In this paper, we introduce a new coding and decoding structure for enhancing the reliability and performance of polar codes, specifically at low error rates. We achieve this by concatenating two polar codes in series to create robust…

Information Theory · Computer Science 2023-11-07 Mohammed Mensouri , Mustapha Eddahibi

Harnessing a block-sparse prior to recover signals through underdetermined linear measurements has been extensively shown to allow exact recovery in conditions where classical compressed sensing would provably fail. We exploit this result…

Information Theory · Computer Science 2021-10-12 Maxime Ferreira Da Costa , Urbashi Mitra

We investigate dense coding by imposing various locality restrictions to our decoder by employing the resource theory of asymmetry framework. In this task, the sender Alice and the receiver Bob share an entangled state. She encodes the…

Quantum Physics · Physics 2024-09-10 Masahito Hayashi , Kun Wang

We consider a distributed source coding system in which several observations are communicated to the decoder using limited transmission rate. The observations must be separately coded. We introduce a robust distributed coding scheme which…

Information Theory · Computer Science 2007-07-13 Jun Chen , Toby Berger

The maximum operational range of continuous variable quantum key distribution protocols has shown to be improved by employing high-efficiency forward error correction codes. Typically, the secret key rate model for such protocols is…

In the literature there exists analytical expressions for the probability of a receiver decoding a transmitted source message that has been encoded using random linear network coding. In this work, we look into the probability that the…

Information Theory · Computer Science 2022-03-08 Jessica Claridge , Ioannis Chatzigeorgiou

Many multivariate data such as social and biological data exhibit complex dependencies that are best characterized by graphs. Unlike sequential data, graphs are, in general, unordered structures. This means we can no longer use classic,…

Information Theory · Computer Science 2021-10-05 Mojtaba Abolfazli , Anders Host-Madsen , June Zhang , Andras Bratincsak

This paper shows that structured transmission schemes are a good choice for secret communication over interference networks with an eavesdropper. Structured transmission is shown to exploit channel asymmetries and thus perform better than…

Information Theory · Computer Science 2009-05-14 Shweta Agrawal , Sriram Vishwanath

With the wide/rapid spread of distributed systems for information processing, such as cloud computing and social networking, not only transmission but also processing is done on the internet. Therefore, a lot of studies on secure, efficient…

Cryptography and Security · Computer Science 2018-11-27 Hitoshi Kiya

We show strongly secret achievable rate regions for two different wiretap multiple-access channel coding problems. In the first problem, each encoder has a private message and both together have a common message to transmit. The encoders…

Information Theory · Computer Science 2014-06-05 Moritz Wiese , Holger Boche

Synchronization codes are frequently used in numerical data transmission and storage. Compression by Substring Enumeration (CSE) is a new lossless compression scheme that has turned into a new and unusual application for synchronization…

Information Theory · Computer Science 2016-05-27 Dany Vohl , Claude-Guy Quimper , Danny Dubé