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Low-rate and short-packet transmissions are important for ultra-reliable low-latency communications (URLLC). In this paper, we put forth a new family of sparse superposition codes for URLLC, called block orthogonal sparse superposition…

Information Theory · Computer Science 2022-08-16 Donghwa Han , Jeonghun Park , Youngjoo Lee , H. Vincent Poor , Namyoon Lee

We present a constraint-coding scheme to correct asymmetric magnitude-$1$ errors in multi-level non-volatile memories. For large numbers of such errors, the scheme is shown to deliver better correction capability compared to known…

Information Theory · Computer Science 2017-09-12 Evyatar Hemo , Yuval Cassuto

While the channel capacity reflects a theoretical upper bound on the achievable information transmission rate in the limit of infinitely many bits, it does not characterise the information transfer of a given encoding routine with finitely…

Neurons and Cognition · Quantitative Biology 2017-04-05 Sebastian Weichwald , Tatiana Fomina , Bernhard Schölkopf , Moritz Grosse-Wentrup

This letter introduces a novel channel coding design framework for short-length codewords that permits balancing the tradeoff between the bit error rate floor and waterfall region by modifying a single real-valued parameter. The proposed…

Information Theory · Computer Science 2016-11-17 Mikel Hernaez , Pedro M. crespo , Javier Del Ser

This paper considers the problem of end-end security enhancement by resorting to deliberate noise injected in ciphertexts. The main goal is to generate a degraded wiretap channel in application layer over which Wyner-type secrecy encoding…

Cryptography and Security · Computer Science 2012-04-03 Yahya S. Khiabani , Shuangqing Wei , Jian Yuan , Jian Wang

We introduce a new family of codes, termed weighted superimposed codes (WSCs). This family generalizes the class of Euclidean superimposed codes (ESCs), used in multiuser identification systems. WSCs allow for discriminating all bounded,…

Information Theory · Computer Science 2008-12-18 Wei Dai , Olgica Milenkovic

In this paper, we propose a capacity-approaching analog fountain code (AFC) for wireless channels. In AFC, the number of generated coded symbols is potentially limitless. In contrast to the conventional binary rateless codes, each coded…

Information Theory · Computer Science 2016-11-15 Mahyar Shirvanimoghaddam , Yonghui Li , Branka Vucetic

Designing channel codes under low-latency constraints is one of the most demanding requirements in 5G standards. However, a sharp characterization of the performance of traditional codes is available only in the large block-length limit.…

Signal Processing · Electrical Eng. & Systems 2020-07-27 Yihan Jiang , Hyeji Kim , Himanshu Asnani , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

Recently, automorphism ensemble decoding (AED) has drawn research interest as a more computationally efficient alternative to successive cancellation list (SCL) decoding of polar codes. Although AED has demonstrated superior performance for…

Information Theory · Computer Science 2023-05-03 Marvin Geiselhart , Jannis Clausius , Stephan ten Brink

In this paper, we investigate the performance of a class of spatially coupled codes, namely partially information coupled turbo codes (PIC-TCs) over the binary erasure channel (BEC). This class of codes enjoy flexible code rate adjustment…

Information Theory · Computer Science 2019-06-18 Min Qiu , Xiaowei Wu , Yixuan Xie , Jinhong Yuan

This paper presents a polar coding scheme to achieve secrecy in block fading binary symmetric wiretap channels without the knowledge of instantaneous channel state information (CSI) at the transmitter. For this model, a coding scheme that…

Information Theory · Computer Science 2015-11-05 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

Linear complementary dual (LCD) cyclic codes were referred historically to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD…

Information Theory · Computer Science 2017-09-12 Claude Carlet , Sihem Mesnager , Chunming Tang , Yanfeng Qi

We derive bounds on the asymptotic density of parity-check matrices and the achievable rates of binary linear block codes transmitted over memoryless binary-input output-symmetric (MBIOS) channels. The lower bounds on the density of…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason

Topological color codes defined by the 4.8.8 semiregular lattice feature geometrically local check operators and admit transversal implementation of the entire Clifford group, making them promising candidates for fault-tolerant quantum…

Quantum Physics · Physics 2014-02-14 Ashley M. Stephens

Lattices possess elegant mathematical properties which have been previously used in the literature to show that structured codes can be efficient in a variety of communication scenarios, including coding for the additive white Gaussian…

Information Theory · Computer Science 2017-12-19 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

In this paper we consider a Metzner-Kapturowski-like decoding algorithm for high-order interleaved sum-rank-metric codes, offering a novel perspective on the decoding process through the concept of an error code. The error code, defined as…

Information Theory · Computer Science 2024-09-30 Thomas Jerkovits , Felicitas Hörmann , Hannes Bartz

In this paper, we consider a semi-deterministic wiretap channel where the main channel is noiseless and the eavesdropper's channel is a binary erasure channel (BEC). We provide a lower bound for the achievable secrecy rates of polar and…

Information Theory · Computer Science 2021-05-25 Mahdi Shakiba-Herfeh , Laura Luzzi , Arsenia Chorti

Ternary channels can be used to model the behavior of some memory devices, where information is stored in three different levels. In this paper, error correcting coding for a ternary channel where some of the error transitions are not…

Information Theory · Computer Science 2011-05-31 Nicolas Bitouze , Alexandre Graell i Amat , Eirik Rosnes

Quantum error correction is necessary to perform large-scale quantum computations in the presence of noise and decoherence. As a result, several aspects of quantum error correction have already been explored. These have been primarily…

Quantum Physics · Physics 2021-08-05 Ariel Shlosberg , Anthony M. Polloreno , Graeme Smith

Increasing network utilization is often considered as the holy grail of communications. In this article, the concept of sub-rate coding and decoding in the framework of linear network coding (LNC) is discussed for single-source…

Information Theory · Computer Science 2022-05-27 Ben Grinboim , Itay Shrem , Ofer Amrani