Results 21 to 30 of about 11,985 (259)
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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Error-correcting codes and genetics
tripleC: Communication, Capitalism & Critique, 2008 The conservation of genetic information through the ages can not be explained unless one assumes the existence of genomic error-correcting codes, our main hypothesis.
Gérard Battail
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Knot theory and error-correcting codes. [PDF]
Des Codes CryptogrAbstract 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 +3 more
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Computing permutation groups of error-correcting codes
Lietuvos Matematikos Rinkinys, 2000 There is not abstract.
Gintaras Skersys
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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
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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 +2 more
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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
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Codes correcting restricted errors [PDF]
Designs, Codes and Cryptography, 2018 We study the largest possible length $B$ of $(B-1)$-dimensional linear codes over $\mathbb{F}_q$ which can correct up to $t$ errors taken from a restricted set $\mathcal{A}\subseteq \mathbb{F}_q^*$. Such codes can be applied to multilevel flash memories.
Igor E. Shparlinski, Arne Winterhof
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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 +1 more
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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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