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Subspace codes have received an increasing interest recently due to their application in error-correction for random network coding. In particular, cyclic subspace codes are possible candidates for large codes with efficient encoding and…

Information Theory · Computer Science 2015-04-14 Eli Ben-Sasson , Tuvi Etzion , Ariel Gabizon , Netanel Raviv

Spatially coupled, parallel concatenated codes (SC-PCCs) have been shown to approach channel capacity when decoded using optimal iterative methods. However, under complexity constraints such decoding strategies can result in unacceptable…

Information Theory · Computer Science 2021-09-07 Andrew D. Cummins , David G. M. Mitchell , Daniel J. Costello,

We consider the locality of encoding and decoding operations in distributed storage systems (DSS), and propose a new class of codes, called locally encodable and decodable codes (LEDC), that provides a higher degree of operational locality…

Information Theory · Computer Science 2015-04-21 Son Hoang Dau , Han Mao Kiah , Wentu Song , Chau Yuen

Distributed space-time block coding is a diversity technique to mitigate the effects of fading in multi-hop wireless networks, where multiple relay stages are used by a source to communicate with its destination. This paper proposes a new…

Information Theory · Computer Science 2008-05-06 Rahul Vaze , Robert W. Heath

The rapid variation of the wireless channel (short channel coherence time) and the phase noise are two prominent concerns in Millimeter-wave (mmWave) and sub-Terahertz systems communication systems. Equalizing the channel effect and…

Information Theory · Computer Science 2025-09-03 Mohaned Chraiti , Ozgur Ercetin , Ali Ghrayeb , Ali Gorcin

In this paper we propose constellations with suitable structure which allow one to construct codes with excellent diversity using geometrical symmetry and numerical methods. We also demonstrate how these structured constellations…

Optimization and Control · Mathematics 2007-05-23 Guangyue Han , Joachim Rosenthal

Complete complementary codes (CCCs) are highly valuable in the fields of information security, radar and communication. The spectrally null constrained (SNC) problem arises in radar and modern communication systems due to the reservation or…

Information Theory · Computer Science 2025-08-27 Rajen Kumar , Palash Sarkar , Prashant Kumar Srivastava , Sudhan Majhi

Optimal zero-delay coding (quantization) of $\mathbb{R}^d$-valued linearly generated Markov sources is studied under quadratic distortion. The structure and existence of deterministic and stationary coding policies that are optimal for the…

Information Theory · Computer Science 2022-01-17 Meysam Ghomi , Tamas Linder , Serdar Yuksel

Symbol-pair code is a new coding framework which is proposed to correct errors in the symbol-pair read channel. In particular, maximum distance separable (MDS) symbol-pair codes are a kind of symbol-pair codes with the best possible…

Information Theory · Computer Science 2016-08-10 Shuxing Li , Gennian Ge

In this paper, we introduce the concept of spatially coupled turbo-like codes (SC-TCs) as the spatial coupling of a number of turbo-like code ensembles. In particular, we consider the spatial coupling of Berrou et al. parallel concatenated…

Information Theory · Computer Science 2017-10-03 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or use fixed step-sizes that depend on and decrease with an upper bound of the delays. Not only are such delay…

Optimization and Control · Mathematics 2024-11-08 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

This paper proposes a low decoding complexity, full-diversity and full-rate space-time block code (STBC) for 4 transmit and 2 receive ($4\times 2$) multiple-input multiple-output (MIMO) systems. For such systems, the best code known is the…

Information Theory · Computer Science 2008-06-12 K. Pavan Srinath , B. Sundar Rajan

In this paper, we consider a multiple-input-multiple-output optical wireless communication (MIMO-OWC) system in the presence of log-normal fading. In this scenario, a general criterion for the design of full-diversity space code (FDSC) with…

Information Theory · Computer Science 2015-09-25 Yan-Yu Zhang , Hong-Yi Yu , Jian-Kang Zhang , Yi-Jun Zhu , Jin-Long Wang , Tao Wang

Z-complementary code sets (ZCCSs) are used in multicarrier code-division multiple access (MC-CDMA) systems, for interference-free communication over multiuser and quasi-asynchronous environments. In this letter, we propose three new…

Information Theory · Computer Science 2023-02-23 Gobinda Ghosh , Sudhan Majhi , Shubabrata Paul

Because of their excellent asymptotic and finite-length performance, spatially-coupled (SC) codes are a class of low-density parity-check codes that is gaining increasing attention. Multi-dimensional (MD) SC codes are constructed by…

Information Theory · Computer Science 2025-10-08 Canberk İrimağzı , Ata Tanrıkulu , Ahmed Hareedy

Diversity coding is a network restoration technique which offers near-hitless restoration, while other state-of-the art techniques are significantly slower. Furthermore, the extra spare capacity requirement of diversity coding is…

Networking and Internet Architecture · Computer Science 2016-11-11 Serhat Nazim Avci , Ender Ayanoglu

We study the optimal design of heterogeneous Coded Elastic Computing (CEC) where machines have varying computation speeds and storage. CEC introduced by Yang et al. in 2018 is a framework that mitigates the impact of elastic events, where…

Information Theory · Computer Science 2020-08-13 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

Streaming codes (SCs) are packet-level codes that recover erased packets within a strict decoding-delay deadline. Streaming codes for various packet erasure channel models such as sliding-window (SW) channel models that admit random or…

Information Theory · Computer Science 2024-05-13 Shobhit Bhatnagar , P. Vijay Kumar

An equivalent model for a multi-input multi-output (MIMO) communication system with orthogonal space-time block codes (OSTBCs) is proposed based on a newly revealed connection between OSTBCs and Euclidean codes. Examples of distance…

Information Theory · Computer Science 2016-03-03 Alex E. Geyer , Reza Nikjah , Sergiy A. Vorobyov , Norman C. Beaulieu

Optimal delay-throughput trade-offs for two-dimensional i.i.d mobility models have been established in [23], where we showed that the optimal trade-offs can be achieved using rate-less codes when the required delay guarantees are sufficient…

Networking and Internet Architecture · Computer Science 2007-07-13 Lei Ying , R. Srikant