Results 21 to 30 of about 74,437 (278)
IET Communications, 2021 In clustered distributed storage systems (CDSSs), one of the main design goals is minimizing the transmission cost during the failed storage nodes repairing. Generalized regenerating codes (GRCs) are proposed to balance the intra‐cluster repair bandwidth
Shushi Gu +4 more
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Isometry groups of combinatorial codes [PDF]
Electronic Notes in Discrete Mathematics, 2017 Two isometry groups of combinatorial codes are described: the group of isometries, that is, the group of Hamming isometries from a code to itself and the group of monomial isometries, which is the group of those isometries of a code to itself that extend to monomial maps.
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Specification of neuronal identities by feedforward combinatorial coding.
PLoS Biology, 2007 Neuronal specification is often seen as a multistep process: earlier regulators confer broad neuronal identity and are followed by combinatorial codes specifying neuronal properties unique to specific subtypes.
Magnus Baumgardt +4 more
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On erasure combinatorial batch codes
Advances in Mathematics of Communications, 2018 Combinatorial batch codes were defined by Paterson, Stinson, and Wei as purely combinatorial versions of the batch codes introduced by Ishai, Kushilevitz, Ostrovsky, and Sahai. There are $n$ items and $m$ servers, each of which stores a subset of the items. A batch code is an arrangement for storing items on servers so that, for prescribed integers $k$
JiYoon Jung +3 more
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QC-LDPC Codes From Difference Matrices and Difference Covering Arrays
IEEE Access, 2023 We give a framework that generalizes LDPC code constructions using transversal designs or related structures such as mutually orthogonal Latin squares. Our constructions offer a broader range of code lengths and codes rates. Similar earlier constructions
Diane M. Donovan +3 more
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Lattice polytopes in coding theory [PDF]
, 2014 In this paper we discuss combinatorial questions about lattice polytopes motivated by recent results on minimum distance estimation for toric codes. We also prove a new inductive bound for the minimum distance of generalized toric codes.
Soprunov, Ivan
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Cracking the Combinatorial Semaphorin Code [PDF]
Neuron, 2011 In this issue of Neuron, Wu et al. describe a combinatorial code of repulsive Sema-2a and attractive Sema-2b signaling that mediates mechanosensory axonal guidance, fasciculation, and synaptic target selection within the CNS of Drosophila. Their work exemplifies how a detailed, multilevel molecular-genetic analysis (from molecules to behavior) provides
Berke, Brett, Keshishian, Haig
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Bar Code and Janet-like division
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2022 Bar Codes are combinatorial objects encoding many properties of monomial ideals. In this paper we employ these objects to study Janet-like divisions.
Michela Ceria
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The combinatorics of combinatorial coding by a real [PDF]
Journal of Symbolic Logic, 1995 AbstractWe lay the combinatorial foundations for [5] by setting up and proving the essential properties of the coding apparatus for singular cardinals. We also prove another result concerning the coding apparatus for inaccessible cardinals.
Saharon Shelah, Lee J. Stanley
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Research, 2023 High-throughput assays play an important role in the fields of drug discovery, genetic analysis, and clinical diagnostics. Although super-capacity coding strategies may facilitate labeling and detecting large numbers of targets in a single assay ...
Yuchen Tang +2 more
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