Výsledky vyhledávání - "Linear binary code"

All-Optical Linear Binary Code Generator Using Optical Nonlinear Material Based Devices Autor Mandal, Ashis Kumar

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Construction of a Linear Binary Code with Maximum Coding Rate Autor Adszhemov, Artyom S., Basyrov, Ildar I.

“…The article investigates the construction of linear binary codes designed to achieve maximum coding rates for various minimum code distances, with a focus on approaching theoretical boundaries…”
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Analysis of Properties of Quantum Hashing Autor Vasiliev, A. V., Vasilov, A. R., Latypov, M. A.

“…We analyze a method of binary quantum hashing that allows one to represent binary sets as quantum states. We show that this method is very stable with respect…”
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Linear binary code for write-once memories (Corresp.) Autor Cohen, G., Godlewski, P., Merkx, F.

“…An application of error-correcting codes to "write-once" memories (WOM's) as defined by Rivest and Shamir is studied. Large classes of "WOM codes" that are…”
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Some results for linear binary codes with minimum distance 5 and 6 Autor Bouyukliev, I., Varbanov, Z.

“…We prove that a linear binary code with parameters [34,24,5] does not exist. Also, we characterize some codes with minimum distance 5 and 6…”
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Lower bounds on P(E) for M-equally likely signals derived from a linear binary code Autor Labonte, Joseph Stephane Erik

“…)) for M-equally likely signals derived from a linear binary code set is done for the Additive White Gaussian Noise (AWGN) channel…”
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Improved List-Decodability of Random Linear Binary Codes Autor Li, Ray, Wootters, Mary

“… binary code of rate <inline-formula> <tex-math notation="LaTeX">1 - {H}(\text {p}) - \epsilon </tex-math></inline-formula> is <inline-formula> <tex-math notation…”
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Expected security performance of random linear binary codes in syndrome coding Autor Zhang, Ke, Tomlinson, Martin, Ahmed, Mohammed Z., Ma, Xiaolin

“… A theoretical analysis method is presented which determines the security level achieved by randomly chosen, linear binary codes, and compared with simulation results obtained by Monte Carlo analysis…”
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On the weight spectrum of good linear binary codes Autor Ruoheng Liu, Spasojevic, P., Soljanin, E.

“…The weight spectrum of sequences of binary linear codes that achieve arbitrarily small word error probability on a class of noisy channels at a nonzero rate is…”
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Torch: Software Package For The Search Of Linear Binary Codes Autor Hannusch, Carolin, Major, Sandor Roland

“…We describe a software package created by the authors that can be used to search for linear binary codes with almost arbitrary conditions…”
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Linear Binary Codes Correcting One or More Errors Autor Izhitskii, Timofei

“…This paper examines linear binary codes capable of correcting one or more errors…”
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Odd-Ramsey numbers of complete bipartite graphs Autor Boyadzhiyska, Simona, Das, Shagnik, Lesgourgues, Thomas, Petrova, Kalina

“… dimension of a linear binary code avoiding codewords of given weights, and leverage known results from coding theory to deduce asymptotically tight bounds in our setting. We conclude with bounds for the odd-Ramsey numbers of fixed (that is, non-spanning) complete bipartite subgraphs…”
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New Results on Binary Codes Obtained by Doubling Construction Autor Davydov, Alexander A., Marcugini, Stefano, Pambianco, Fernanda

“…Binary codes created by doubling construction, including quasi-perfect ones with distance d = 4, are investigated. All [17·2 , 17·2 − r, 4] quasi-perfect codes…”
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Improved list-decodability of random linear binary codes Autor Li, Ray, Wootters, Mary

“…There has been a great deal of work establishing that random linear codes are as list-decodable as uniformly random codes, in the sense that a random linear binary code of rate \(1 - H(p) - \epsilon\) is \((p,O(1/\epsilon…”
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EvenQuads Game and Error-Correcting Codes Autor Byrapuram, Nikhil, Choi, Hwiseo, Ge, Adam, Ge, Selena, Lee, Sylvia Zia, Liang, Evin, Mandal, Rajarshi, Oki, Aika, Wu, Daniel, Yang, Michael, Khovanova, Tanya

“… cards selected from the deck of EvenQuads, it is possible to construct an error-correcting linear binary code of length ℓ…”
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There Is No Binary [35, 10, 13] Code Autor Tjhai, Cen J., Tomlinson, Martin, Grassl, Markus

“…It is shown that the generator matrix of a putative linear binary code [36, 10, 14] contains the generator matrix…”
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A photonic analog-to-digital conversion scheme using Mach-Zehnder modulators with identical half-wave voltages Autor Chi, Hao, Yao, Jianping

“… By properly biasing the MZMs, the transfer functions of the MZMs are laterally shifted, which leads to the generation of a linear binary code to represent the analog input signal…”
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On Coset Leader Graphs of LDPC Codes Autor Iceland, Eran, Samorodnitsky, Alex

“…Our main technical result is that, in the coset leader graph of a linear binary code of block length n, the metric balls spanned by constant-weight vectors grow exponentially slower than those in (0, 11n…”
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Geometric representations of binary codes and computation of weight enumerators Autor RYTIR, Pavel

“…For every linear binary code C , we construct a geometric triangular configuration Δ…”
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Linear binary codes arising from finite groups Autor Saouter, Yannick

“…In this paper, we describe constructions of majority logic decodable codes which stem out description of finite groups. To this end, we generalize some…”
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