Results 21 to 30 of about 531,952 (296)
M-theory cosmology, octonions, error correcting codes
Journal of High Energy Physics, 2021 We study M-theory compactified on twisted 7-tori with G 2-holonomy. The effective 4d supergravity has 7 chiral multiplets, each with a unit logarithmic Kähler potential.
Murat Gunaydin +3 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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Quantum error-correcting codes and their geometries [PDF]
Annales de l'Institut Henri Poincaré D, 2020 This is an expository article aiming to introduce the reader to the underlying mathematics and geometry of quantum error correction. Information stored on quantum particles is subject to noise and interference from the environment.
Simeon Ball, Aina Centelles, Felix Huber
semanticscholar +1 more source
Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence [PDF]
, 2015 A bstractWe propose a family of exactly solvable toy models for the AdS/CFT correspondence based on a novel construction of quantum error-correcting codes with a tensor network structure.
F. Pastawski +3 more
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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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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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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
europepmc +7 more sources
Entanglement-assisted quantum error-correcting codes over arbitrary finite fields [PDF]
Quantum Information Processing, 2018 We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary finite fields as well.
C. Galindo +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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