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Hermitian Rank Metric Codes and Duality
IEEE Access, 2021 In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for $\mathbb {F}_{q^{2}}$ -linear matrix codes in the ambient space $(\mathbb {F}_{q^{2}})_{n,m}$ and for both $\mathbb {F}_{q^{2}}$ -additive ...
Javier De La Cruz +2 more
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Further results on LCD generalized Gabidulin codes
AIMS Mathematics, 2021 Linear complementary dual (abbreviated LCD) generalized Gabidulin codes (including Gabidulin codes) have been recently investigated by Shi and Liu et al. (Shi et al. IEICE Trans. Fundamentals E101-A(9):1599-1602, 2018, Liu et al.
Xubo Zhao +3 more
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Rank AGS Identification Scheme and Signature Scheme
Mathematics, 2023 The identification protocol is a type of zero-knowledge proof. One party (the prover) needs to prove his identity to another party (the verifier) without revealing the secret key to the verifier. One can apply the Fiat–Shamir transformation to convert an
Vaishnavi Nagaraja +6 more
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Distributionally robust learning-to-rank under the Wasserstein metric
PLoS ONE, 2023 Despite their satisfactory performance, most existing listwise Learning-To-Rank (LTR) models do not consider the crucial issue of robustness. A data set can be contaminated in various ways, including human error in labeling or annotation, distributional ...
Shahabeddin Sotudian +2 more
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MacWilliams Identity for Codes with the Rank Metric
EURASIP Journal on Wireless Communications and Networking, 2008 The MacWilliams identity, which relates the weight distribution of a code to the weight distribution of its dual code, is useful in determining the weight distribution of codes.
Zhiyuan Yan, Maximilien Gadouleau
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Rank-metric codes as ideals for subspace codes and their weight properties
AKCE International Journal of Graphs and Combinatorics, 2019 Let q=pr, p a prime, r a positive integer, and Fqthe Galois field with cardinality q and characteristic p. In this paper, we study some weight properties of rank-metric codes and subspace codes. The rank weight is not egalitarian nor homogeneous, and the
Bryan S. Hernandez, Virgilio P. Sison
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On the theory of fourth-rank hemitropic tensors in three-dimensional Euclidean spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to problems concerning the tensors with constant components, hemitropic tensors and pseudotensors that are of interest from the point of view of micropolar continuum mechanics. The properties and coordinate representations of tensors
Eugenii V. Murashkin, Yuri N. Radayev
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Research on correction algorithm of propagation error in wireless sensor network coding
EURASIP Journal on Wireless Communications and Networking, 2020 It is very difficult to deal with the problem of error correction in random network coding, especially when the number of errors is more than the min-cut of the network. We combine a small field with rank-metric codes to solve this problem in this paper.
Dongqiu Zhang +3 more
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مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1994 This paper presents a new method to rank triangular fuzzy numbers as well as a new metric (triangular fuzzy metric) on the set of fuzzy points. This metric can be used in both studying fuzzy topological spaces and decision-making theory.
Mohammad A. Mahmoud Al-Amleh
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Cholesky Decomposition-Based Metric Learning for Video-Based Human Action Recognition
IEEE Access, 2020 Video-based human action recognition can understand human actions and behaviours in the video sequences, and has wide applications for health care, human-machine interaction and so on. Metric learning, which learns a similarity metric, plays an important
Si Chen +4 more
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