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In this paper we characterize sharp time-data tradeoffs for optimization problems used for solving linear inverse problems. We focus on the minimization of a least-squares objective subject to a constraint defined as the sub-level set of a…

Information Theory · Computer Science 2016-01-06 Samet Oymak , Benjamin Recht , Mahdi Soltanolkotabi

This paper applies Information Theoretic analysis to packet-based random multiple access communication systems. A new channel coding approach is proposed for coding within each data packet with built-in support for bursty traffic…

Information Theory · Computer Science 2016-11-17 Jie Luo , Anthony Ephremides

Effective iterative decoding of short BCH codes faces two primary challenges: identifying an appropriate parity-check matrix and accelerating decoder convergence. To address these issues, we propose a systematic scheme to derive an…

Information Theory · Computer Science 2024-11-22 Guangwen Li , Xiao Yu

In this paper we analyse the construction of identification codes. Identification codes are based on the question "Is the message I have just received the one I am interested in?", as opposed to Shannon's transmission, where the receiver is…

Information Theory · Computer Science 2020-10-26 Sencer Derebeyoglu , Christian Deppe , Roberto Ferrara

It is shown that some well-known and some new cyclic codes with orthogonal parity-check equations can be constructed in the finite-field transform domain. It is also shown that, for some binary linear cyclic codes, the performance of the…

Information Theory · Computer Science 2007-07-13 C. Tjhai , M. Tomlinson , R. Horan , M. Ambroze , M. Ahmed

The emerging interest in low-latency high-reliability applications, such as connected vehicles, necessitates a new abstraction between communication and control. Thanks to advances in cyber-physical systems over the past decades, we…

Optimization and Control · Mathematics 2018-10-31 Konstantinos Gatsis , Hamed Hassani , George J. Pappas

A method for concatenating quantum error-correcting codes is presented. The method is applicable to a wide class of quantum error-correcting codes known as Calderbank-Shor-Steane (CSS) codes. As a result, codes that achieve a high rate in…

Quantum Physics · Physics 2016-11-17 Mitsuru Hamada

By presenting an approximated performance-complexity tradeoff (PCT) algorithm,a low-complexity non-binary low density parity check (LDPC) code over q-ary-input symmetric-output channel is designed in this manuscript which converges faster…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Yang Yu , Wen Chen

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,

Inspired by prior work by Tian and by Cao and Xu, this paper presents an efficient computer-aided framework to characterize the fundamental limits of coded caching systems under the constraint of linear coding. The proposed framework…

Information Theory · Computer Science 2025-11-26 Niccolò Brembilla , Yinbin Ma , Pietro Belotti , Federico Malucelli , Daniela Tuninetti

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

In this thesis we present several results in coding theory, concerning error-correcting codes and the Shannon capacity. 1. We give a general symmetry reduction of matrices occuring in semidefinite programs in coding theory. 2. We apply the…

Combinatorics · Mathematics 2020-05-07 Sven Polak

Determining the exact decoding error probability of linear block codes is an interesting problem. For binary BCH codes, McEliece derived methods to estimate the error probability of a simple bounded distance decoding (BDD) for BCH codes.…

Information Theory · Computer Science 2026-01-29 Sisi Miao , Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the binary erasure channel (BEC) with bounded complexity per…

Information Theory · Computer Science 2007-07-13 H. Pfister , I. Sason , R. Urbanke

The work establishes fundamental limits with respect to rate, reliability and computational complexity, for a general setting of outage-limited MIMO communications. In the high-SNR regime, the limits are optimized over all encoders, all…

Information Theory · Computer Science 2010-06-24 Petros Elia , Joakim Jalden

In this letter, we introduce the computational-limited (comp-limited) signals, a communication capacity regime in which the signal time computational complexity overhead is the key constraint -- rather than power or bandwidth -- to the…

Information Theory · Computer Science 2024-10-28 Saulo Queiroz , João P. Vilela , Edmundo Monteiro

The rapidly improving performance of modern hardware renders convolutional codes obsolete, and allows for the practical implementation of more sophisticated correction codes such as low density parity check (LDPC) and turbo codes (TC). Both…

Information Theory · Computer Science 2015-03-20 Jarosław Duda , Paweł Korus

Semantic communication is a novel communication paradigm that focuses on conveying the user's intended meaning rather than the bit-wise transmission of source signals. One of the key challenges is to effectively represent and extract the…

Information Theory · Computer Science 2026-05-08 Jingxuan Chai , Yong Xiao , Guangming Shi

This paper analyzes the fundamental trade-offs that occur in the co-design of pilot resource allocations in orthogonal frequency-division multiplexing signals for both ranging (via time-of-arrival estimation) and communications. These…

Signal Processing · Electrical Eng. & Systems 2024-01-31 Andrew Graff , Todd E. Humphreys

We prove that, for all binary-input symmetric memoryless channels, polar codes enable reliable communication at rates within $\epsilon > 0$ of the Shannon capacity with a block length, construction complexity, and decoding complexity all…

Information Theory · Computer Science 2013-11-19 Venkatesan Guruswami , Patrick Xia