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We analyze the exact exponential decay rate of the expected amount of information leaked to the wiretapper in Wyner's wiretap channel setting using wiretap channel codes constructed from both i.i.d. and constant-composition random codes.…

Information Theory · Computer Science 2016-11-30 Mani Bastani Parizi , Emre Telatar , Neri Merhav

We study random linear network coding for broadcasting in time division duplexing channels. We assume a packet erasure channel with nodes that cannot transmit and receive information simultaneously. The sender transmits coded data packets…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

This work addresses the physical layer channel code design for an uncoordinated, frame- and slot-asynchronous random access protocol. Starting from the observation that collisions between two users yield very specific interference patterns,…

Information Theory · Computer Science 2019-08-06 Federico Clazzer , Balazs Matuz , Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Sarah J. Johnson

In this paper, we analyze several critical issues in semi-device independent quantum information processing protocol. In practical experimental realization randomness generation in that scenario is possible only if the efficiency of the…

Quantum Physics · Physics 2015-06-23 Hong-Wei Li , Zhen-Qiang Yin , Marcin Pawlowski , Guang-Can Guo , Zheng-Fu Han

Due to its longevity and enormous information density, DNA is an attractive medium for archival data storage. Thanks to rapid technological advances, DNA storage is becoming practically feasible, as demonstrated by a number of experimental…

Information Theory · Computer Science 2022-11-11 Ilan Shomorony , Reinhard Heckel

Randomized response is attractive for privacy preserving data collection because the provided privacy can be quantified by means such as differential privacy. However, recovering and analyzing statistics involving multiple dependent…

Cryptography and Security · Computer Science 2018-07-16 Staal A. Vinterbo

The number of random bits required to approximate a target distribution in terms of un-normalized informational divergence is considered. It is shown that for a variable-to-variable length encoder, this number is lower bounded by the…

Information Theory · Computer Science 2013-08-02 Georg Böcherer , Rana Ali Amjad

One key requirement for fountain (rateless) coding schemes is to achieve a high intermediate symbol recovery rate. Recent coding schemes have incorporated the use of a feedback channel to improve intermediate performance of traditional…

Information Theory · Computer Science 2016-11-17 Morteza Hashemi , Yuval Cassuto , Ari Trachtenberg

We describe properties and constructions of constraint-based codes for DNA-based data storage which account for the maximum repetition length and AT/GC balance. We present algorithms for computing the number of sequences with maximum…

Information Theory · Computer Science 2018-12-18 Kees A. Schouhamer Immink , Kui Cai

A new perspective is introduced regarding the analysis of Multiple Sequence Alignments (MSA), representing aligned data defined over a finite alphabet of symbols. The framework is designed to produce a block decomposition of an MSA, where…

Information Theory · Computer Science 2024-01-11 Christopher Barrett , Andrei Bura , Fenix Huang , Christian Reidys

Random linear codes (RLCs) are well known to have nice combinatorial properties and near-optimal parameters in many different settings. However, getting explicit constructions matching the parameters of RLCs is challenging, and RLCs are…

Information Theory · Computer Science 2023-08-31 Xue Chen , Kuan Cheng , Xin Li , Songtao Mao

Regenerating codes are a class of codes for distributed storage networks that provide reliability and availability of data, and also perform efficient node repair. Another important aspect of a distributed storage network is its security.…

Information Theory · Computer Science 2015-03-19 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar

LLM text decoding is key component for perceived LLM quality. We demonstrate two experiments showing that decoding methods could be improved by manipulation of token probabilities. First, we test few LLM on SummEval summary scoring dataset,…

Computation and Language · Computer Science 2024-09-27 Krystian Zawistowski

To equip DNA-based data storage with random-access capabilities, Yazdi et al. (2018) prepended DNA strands with specially chosen address sequences called primers and provided certain design criteria for these primers. We provide explicit…

Information Theory · Computer Science 2019-01-07 Yeow Meng Chee , Han Mao Kiah , Hengjia Wei

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

The spectra of random feature matrices provide essential information on the conditioning of the linear system used in random feature regression problems and are thus connected to the consistency and generalization of random feature models.…

Machine Learning · Statistics 2022-12-13 Zhijun Chen , Hayden Schaeffer , Rachel Ward

We consider error-correcting coding for DNA-based storage. We model the DNA storage channel as a multi-draw IDS channel where the input data is chunked into $M$ short DNA strands, which are copied a random number of times, and the channel…

Information Theory · Computer Science 2023-06-22 Lorenz Welter , Issam Maarouf , Andreas Lenz , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

We define the error exponent of the typical random code as the long-block limit of the negative normalized expectation of the logarithm of the error probability of the random code, as opposed to the traditional random coding error exponent,…

Information Theory · Computer Science 2017-08-25 Neri Merhav

Random linear network codes can be designed and implemented in a distributed manner, with low computational complexity. However, these codes are classically implemented over finite fields whose size depends on some global network parameters…

Information Theory · Computer Science 2010-08-04 Tracey Ho , Sidharth Jaggi , Svitlana Vyetrenko , Lingxiao Xia

Due to its longevity and enormous information density, DNA is an attractive medium for archival storage. In this work, we study the fundamental limits and tradeoffs of DNA-based storage systems under a simple model, motivated by current…

Information Theory · Computer Science 2017-05-16 Reinhard Heckel , Ilan Shomorony , Kannan Ramchandran , David N. C. Tse