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Bounds for the minimum distance function [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let I be a homogeneous ideal in a polynomial ring S. In this paper, we extend the study of the asymptotic behavior of the minimum distance function δI of I and give bounds for its stabilization point, rI, when I is an F -pure or a square-free monomial ...
Núñez-Betancourt Luis +2 more
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Quantum Minimum Distance Classifier [PDF]
Entropy, 2017 We propose a quantum version of the well known minimum distance classification model called Nearest Mean Classifier (NMC). In this regard, we presented our first results in two previous works.
Enrica Santucci
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Some new QEC MDS codes with large minimum distance [PDF]
Scientific ReportsThe advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing.
Lanqiang Li +3 more
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Speeding Up Minimum Distance Randomness Tests
Journal of Telecommunications and Information Technology, 2022 Randomness testing is one of the essential and easiest tools for the evaluation of the features and quality of cryptographic primitives. The faster we can test, the greater volumes of data can be checked and evaluated and, hence, more detailed analyses ...
Krzysztof Mańk
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New Construction of Low-Density Parity-Check Codes Based on Vector Space Over Finite Fields
IEEE Access, 2020 Low-Density Parity-Check (LDPC) codes have low linear decoding complexity, which is a kind of good codes with excellent performance. Therefore, LDPC codes have great research value.
Xuemei Liu, Lihua Jia
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On Minimum Maximal Distance-k Matchings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 We study the computational complexity of several problems connected with finding a maximal distance-$k$ matching of minimum cardinality or minimum weight in a given graph. We introduce the class of $k$-equimatchable graphs which is an edge analogue of $k$
Yury Kartynnik, Andrew Ryzhikov
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Frontiers in Oncology, 2023 PurposeDeep-learning effectively predicts dose distributions in knowledge-based radiotherapy planning. Using anatomical information that includes a structure map and computed tomography (CT) data as input has been proven to work well.
Xinyuan Chen +6 more
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Fingerprinting With Minimum Distance Decoding [PDF]
IEEE Transactions on Information Forensics and Security, 2009 26 pages, 6 figures, submitted to IEEE Transactions on Information Forensics and ...
Lin, Shih-Chun +2 more
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DEGREE DISTANCE AND MINIMUM DEGREE [PDF]
Bulletin of the Australian Mathematical Society, 2012 AbstractLet G be a finite connected graph of order n, minimum degree δ and diameter d. The degree distance D′(G) of G is defined as ∑ {u,v}⊆V (G)(deg u+deg v) d(u,v), where deg w is the degree of vertex w and d(u,v) denotes the distance between u and v. In this paper, we find an asymptotically sharp upper bound on the degree distance in terms of order,
Mukwembi, S., Munyira, S.
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Entropy, 2020 In this paper, we obtain upper bounds on the minimum distance for turbo codes using fourth degree permutation polynomial (4-PP) interleavers of a specific interleaver length and classical turbo codes of nominal 1/3 coding rate, with two recursive ...
Lucian Trifina +3 more
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