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This paper studies the parameters for which Reed-Muller (RM) codes over $GF(2)$ can correct random erasures and random errors with high probability, and in particular when can they achieve capacity for these two classical channels.…

Information Theory · Computer Science 2014-11-18 Emmanuel Abbe , Amir Shpilka , Avi Wigderson

Machine-to-Machine (M2M) communications have been introduced to improve the communication capacity in dense wireless networks. One of the most important concerns for network designers is maintaining the high performance of the network when…

Networking and Internet Architecture · Computer Science 2020-10-27 Monireh Allah Gholi Ghasri , Ali Mohammad Afshin Hemmatyar , Siavash Bayat , Mostafa Mahdieh

In this paper, linear index codes with multiple senders are studied, where every receiver receives encoded messages from all senders. A new fitting matrix for the multiple senders is proposed and it is proved that the minimum rank of the…

Information Theory · Computer Science 2019-09-19 Jae-Won Kim , Jong-Seon No

Future 5G cellular networks supporting ultra-reliable, low-latency communications (URLLC) could employ random access communication to reduce the overhead compared to scheduled access techniques used in 4G networks. We consider a wireless…

Information Theory · Computer Science 2018-06-06 Derya Malak , Howard Huang , Jeffrey G. Andrews

For nonnegative integers $n_2, n_3$ and $d$, let $N(n_2,n_3,d)$ denote the maximum cardinality of a code of length $n_2+n_3$, with $n_2$ binary coordinates and $n_3$ ternary coordinates (in this order) and with minimum distance at least…

Combinatorics · Mathematics 2018-04-03 Bart Litjens

A statistical characterization of the fundamental performance bounds of an intelligent reflective surface (IRS) intended for aiding wireless communications is presented. To this end, the outage probability, average symbol error probability,…

Signal Processing · Electrical Eng. & Systems 2020-02-14 Dhanushka Kudathanthirige , Dulaj Gunasinghe , Gayan Amarasuriya

This work provides a comprehensive scaling law and performance analysis for multi-user massive MIMO relay networks, where the relay is equipped with massive antennas and uses MRC/MRT for low-complexity processing. CSI error is considered.…

Networking and Internet Architecture · Computer Science 2016-06-27 Qian Wang , Yindi Jing

Future wireless systems are expected to deliver significantly higher quality-of-service (QoS) albeit with fewer energy resources for diverse, already existing and also novel wireless applications. The optimal resource allocation for a…

Signal Processing · Electrical Eng. & Systems 2024-10-16 Srivardhan Sivadevuni , Kevin Weinberger , Aydin Sezgin

Folded Reed-Solomon (FRS) and univariate multiplicity codes are prominent polynomial codes over finite fields, renowned for achieving list decoding capacity. These codes have found a wide range of applications beyond the traditional scope…

Information Theory · Computer Science 2023-12-29 Itzhak Tamo

In this paper we consider a probabilistic signal-to-interference and-noise ratio (SINR) constrained problem for transmit beamforming design in the presence of imperfect channel state information (CSI), under a multiuser multiple-input…

Information Theory · Computer Science 2011-08-05 Kun-Yu Wang , Anthony Man-Cho So , Tsung-Hui Chang , Wing-Kin Ma , Chong-Yung Chi

The problem of maximum rate achievable with analog network coding for a unicast communication over a layered wireless relay network with directed links is considered. A relay node performing analog network coding scales and forwards the…

Information Theory · Computer Science 2012-05-22 Samar Agnihotri , Sidharth Jaggi , Minghua Chen

Let C be a linear code with length n and minimum distance d. The stopping redundancy of C is defined as the minimum number of rows in a parity-check matrix for C such that the smallest stopping sets in the corresponding Tanner graph have…

Information Theory · Computer Science 2007-07-13 Junsheng Han , Paul H. Siegel

The throughput benefits of random linear network codes have been studied extensively for wirelined and wireless erasure networks. It is often assumed that all nodes within a network perform coding operations. In energy-constrained systems,…

Networking and Internet Architecture · Computer Science 2012-06-05 Xiaomeng Shi , Muriel Medard , Daniel E. Lucani

This paper concerns non-overlapping codes, block codes motivated by synchronisation and DNA-based storage applications. Most existing constructions of these codes do not account for the restrictions posed by the physical properties of…

Information Theory · Computer Science 2025-02-05 Lidija Stanovnik , Miha Moškon , Miha Mraz

In this paper, we consider a general bi-directional relay network with two sources and N relays when neither the source nodes nor the relays know the channel state information (CSI). A joint relay selection and analog network coding using…

Information Theory · Computer Science 2011-12-01 Lingyang Song , Hong Guo , Bingli Jiao , Merouane Debbah

In this paper, we study network coding capacity for random wireless networks. Previous work on network coding capacity for wired and wireless networks have focused on the case where the capacities of links in the network are independent. In…

Information Theory · Computer Science 2007-08-23 Zhenning Kong , Salah A. Aly , Emina Soljanin , Edmund M. Yeh , Andreas Klappenecker

The sum capacity on a symbol-synchronous CDMA system having processing gain $N$ and supporting $K$ power constrained users is achieved by employing at most $2N-1$ sequences. Analogously, the minimum received power (energy-per-chip) on the…

Information Theory · Computer Science 2008-02-27 Rajesh Sundaresan , Arun Padakandla

In this paper we present a multi-user cooperative protocol for wireless networks. Two sources transmit simultaneously their information blocks and relays employ opportunistically successive interference cancellation (SIC) in an effort to…

Networking and Internet Architecture · Computer Science 2016-11-17 Antonios Argyriou

We consider the problem of multiple-node repair in distributed storage systems under the cooperative model, where the repair bandwidth includes the amount of data exchanged between any two different storage nodes. Recently, explicit…

Information Theory · Computer Science 2019-12-02 Min Ye

We study the maximum length of $q$-ary codes as a function of alphabet size, code size, and Singleton defect. For an $(n, M, d)_q$ code with dimension $\kappa = \log_q M \ge 2$ and Singleton defect $s = n - \lceil\kappa\rceil + 1 - d$, we…

Combinatorics · Mathematics 2026-04-07 Tim Alderson
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