Výsledky vyhledávání - "binary linear code"

No Projective 16-Divisible Binary Linear Code of Length 131 Exists Autor Kurz, Sascha

“…We show that no projective 16-divisible binary linear code of length 131 exists. This implies several improved upper bounds for constant-dimension codes, used…”
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A note on the minimal binary linear code Autor Tang, Deng, Li, Xia

“… The objective of this paper is to construct new classes of minimal binary linear codes with w min / w max…”
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A class of cubic polynomial semi-bent functions over F2n Autor Wang, Yan-Ping, Zha, Zhengbang, Zhang, Weiguo, Feng, Dengguo

“…Semi-bent functions play an important role in coding theory, symmetric ciphers, and sequence designs. In this paper, by decomposing cubic Boolean functions and…”
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Optimal minimal linear codes from posets Autor Hyun, Jong Yoon, Kim, Hyun Kwang, Wu, Yansheng, Yue, Qin

“…Recently, some infinite families of minimal and optimal binary linear codes were constructed from simplicial complexes by Hyun et al…”
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Detection and recognition of a binary linear code Autor Valembois, Antoine

“…We examine the problem of detecting and recognizing a binary linear code in a binary stream under the following hypotheses…”
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Several classes of wide minimal binary linear codes based on general Maiorana-McFarland class Autor Du, Xiaoni, Gao, Siqi, Yuan, Wenping, Qiao, Xingbin

“… In this paper, we extend the construction of wide minimal binary linear codes presented by Ding et al. [8] (2018…”
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Three New Families of Binary AFER-Optimal Linear Codes Autor Tong, Tingting, Hu, Sihuang

“…The error coefficient of a linear code, defined as the number of its minimum weight codewords, is a key performance metric to evaluate codes with a given…”
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Embedding Linear Codes Into Self-Orthogonal Codes and Their Optimal Minimum Distances Autor Kim, Jon-Lark, Kim, Young-Hun, Lee, Nari

“…We obtain a characterization on self-orthogonality for a given binary linear code in terms of the number of column vectors in its generator matrix, which extends the result of Bouyukliev et al. (2006…”
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Self-Orthogonality Matrix and Reed-Muller Codes Autor Kim, Jon-Lark, Choi, Whan-Hyuk

“…>. Using this approach, we can extend binary linear codes to many optimal self-orthogonal codes of dimensions 5 and 6…”
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Even poset and a parity result for binary linear code Autor Wu, Yaokun

“…Let C be a linear binary code, namely a subspace of the space consisting of all binary vectors of a fixed length. A vector in C is maximal provided it has a…”
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A Class of Binary Codes Using a Specific Automorphism Group Autor Harzalla, Driss

“…In this article, we showcase PSL(3,4) as the automorphism group for a specific class of three linear binary codes, C1, C2 and C3, with dimension 9. The…”
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No projective 16-divisible binary linear code of length 131 exists Autor Kurz, Sascha

“…We show that no projective 16-divisible binary linear code of length 131 exists. This implies several improved upper bounds for constant-dimension codes, used…”
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Utilizing AVX Instruction Set for Optimizing Algorithms for Weight Characteristics of Binary Linear Code Autor Pashinska, Maria, Bouyukliev, Iliya

“…We present methods of using Advanced Vector Extensions (AVX, AVX2, AVX512) for calculation of weight characteristics of binary linear codes…”
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An algorithm for calculating the exact bit error probability of a binary linear code over the binary symmetric channel Autor Wadayama, T.

“…An efficient algorithm for calculating the ith bit error probability of a binary linear code over the binary symmetric channel (BSC) is presented…”
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Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication Autor Wu, Yansheng, Lee, Yoonjin

“… First, we employ hierarchical posets with two levels for construction of binary linear codes…”
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Analysis of the distribution of the number of erasures correctable by a binary linear code and the link to low-weight codewords Autor Tomlinson, M., Tjhai, C., Cai, J., Ambroze, M.

“…The number and weight of low-weight codewords of a binary linear code determine the erasure channel performance…”
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Efficiently constructing a quantum uniform superposition over bit strings near a binary linear code Autor Farhi, Edward, Jordan, Stephen P

“…We demonstrate that a high fidelity approximation to \(| \Psi_b \rangle\), the quantum superposition over all bit strings within Hamming distance \(b\) of the…”
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An Analysis of Computational Complexity of Low Level Quantizers for Block Turbo Decoding for Product Codes of Binary Linear Code Autor Kageyama, Shinichi, Ikuta, Ken, Nanjo, Yuki, Kodera, Yuta, Kusaka, Takuya, Nogami, Yasuyuki

“…Block Turbo Decodings (BTDs) with Soft-In SoftOut (SISO) decodings for two-dimensional product codes of linear codes can achieve good error performance…”
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Several classes of binary linear codes and their weight enumerators Autor Li, Fei, Yan, Yang, Wang, Qiuyan, Yan, Tongjiang

“… We construct several classes of binary linear codes and determine their weight distributions…”
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A Study on Low Level Quantizers for Block Turbo Decoding for Product Codes of Binary Linear Code Autor Kageyama, Shinichi, Ikuta, Ken, Kusaka, Takuya, Nogami, Yasuyuki

“… In this paper, a study on design for low level quantizers for the BTD with S1SO Ordered Statistics Decoding for product codes of binary linear code is shown…”
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