Search Results - "Linear binary code"

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

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Construction of a Linear Binary Code with Maximum Coding Rate by 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 by 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.) by 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 by 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 by 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 by 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 by 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 by 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 by 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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Odd-Ramsey numbers of complete bipartite graphs by 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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Improved list-decodability of random linear binary codes by 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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New Results on Binary Codes Obtained by Doubling Construction by 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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EvenQuads Game and Error-Correcting Codes by 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 by 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 by 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 by 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 by 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 by 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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The average equivocation of random linear binary codes in syndrome coding by Ke Zhang, Tomlinson, Martin, Ahmed, Mohammed Zaki

“…This paper studies the security performance of random codes in the syndrome coding scheme. We propose theoretical analysis using a putative (n, k) code having…”
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