Results 11 to 20 of about 12,027 (259)

CRC Codes as Error Correction Codes [PDF]

ICC 2021 - IEEE International Conference on Communications, 2021
CRC codes have long since been adopted in a vast range of applications. The established notion that they are suitable primarily for error detection can be set aside through use of the recently proposed Guessing Random Additive Noise Decoding (GRAND). Hard-detection (GRAND-SOS) and soft-detection (ORBGRAND) variants can decode any short, high-rate block
Wei An 0001, Muriel Médard, Ken R. Duffy   +2 more
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Index coding and error correction [PDF]

2011 IEEE International Symposium on Information Theory Proceedings, 2011
A problem of index coding with side information was first considered by Y. Birk and T. Kol (IEEE INFOCOM, 1998). In the present work, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied. Error-correcting methods for such a scheme, and their parameters, are investigated.
Son Hoang Dau, Vitaly Skachek, Yeow Meng Chee   +2 more
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On the number of error correcting codes

Combinatorics, Probability and Computing, 2023
AbstractWe show that for a fixed $q$ , the number of $q$ -ary $t$ -error correcting codes of length $n$ is at most $2^{(1 + o(1)) H_q(n,t)}$ for all $t \leq (1 - q^{-1})n - 2\sqrt{n \log n}$ , where $H_q(n, t) = q^n/ V_q(n,t)$ is the Hamming bound and $V_q(n,t)$ is the cardinality of the radius $t$ Hamming ball.
Dingding Dong, Nitya Mani, Yufei Zhao
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Knot theory and error-correcting codes. [PDF]

Des Codes Cryptogr
Abstract This paper builds a novel bridge between algebraic coding theory and mathematical knot theory, with applications in both directions. We give methods to construct error-correcting codes starting from the colorings of a knot, describing through a series of results how the properties of the knot translate into code parameters.
Kılıç AB, Nijsten A, Pellikaan R, Ravagnani A.   +3 more
europepmc   +9 more sources

Error Correction Code Transformer

Advances in Neural Information Processing Systems 35, 2022
Error correction code is a major part of the communication physical layer, ensuring the reliable transfer of data over noisy channels. Recently, neural decoders were shown to outperform classical decoding techniques. However, the existing neural approaches present strong overfitting due to the exponential training complexity, or a restrictive inductive
Yoni Choukroun, Lior Wolf
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A new approach to solve the reliability problem in any VoIP steganography system [PDF]

AUT Journal of Mathematics and Computing, 2022
VoIP is naturally an unreliable communication system. Thus, using the best VoIP steganographic systems, the accuracy of the hidden message is impaired as a result of the VoIP packet loss.
M.-R Sadeghi, P. Amirzade Dana, B. Javadi   +2 more
doaj   +1 more source

Blockwise and Low Density Key Error Correcting Codes [PDF]

International Journal of Mathematical, Engineering and Management Sciences, 2020
To protect the information from disturbances created by noisy channels, redundant symbols (called check symbols) with the information symbols are added. These extra symbols play important role for the efficiency of the communication system.
Pankaj Kumar Das, Subodh Kumar
doaj   +1 more source

Error-correcting Identifying Codes

CoRR, 2022
Assume that a graph $G$ models a detection system for a facility with a possible "intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the problem of placing (the minimum number of) detectors at a subset of vertices in $G$ to automatically determine if there is an intruder, and if so, its precise location.
Devin C. Jean, Suk Jai Seo
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NOISE IMMUNITY CODES DISPLAY IN RELIABILITY CORDINATES

Information and Telecommunication Sciences, 2015
Background. Noise immunity codes are widely used in the modern telecommunication systems. The methodology of properties count of convolutional codes, offered by authors before, to the equivalent parameters of block codes gave the opportunity to use the ...
Leonid Uryvskyi, Anton Pieshkin
doaj   +1 more source

Decoding algorithms for Goppa codes with errors and erasures [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022
In 1978, McEliece built the first public key cryptosystem based on error-correcting codes. This cryptosystem based on Goppa codes is considered promising and cryptographically stable, taking into account quantum computing.
Ratseev, Sergey Mihailovich, Cherevatenko, Olga I.   +1 more
doaj   +1 more source