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    Optimal quinary cyclic codes with minimum distance four by Ye TIAN, Yu-qing ZHANG, Yu-pu HU

    Published 2017-02-01
    “…Cyclic codes are an extremely important subclass of linear codes.They are widely used in the communication systems and data storage systems because they have efficient encoding and decoding algorithm.Until now,how to construct the optimal ternary cyclic codes has received a lot of attention and much progress has been made.However,there is less research about the optimal quinary cyclic codes.Firstly,an efficient method to determine if cyclic codes C<sub>(1,e,t)</sub>were optimal codes was obtained.Secondly,based on the proposed method,when the equation e=5<sub>k</sub>+1 or e=5<sub>m</sub>−2hold,the theorem that the cyclic codes C<sub>(1,e,t)</sub>were optimal quinary cyclic codes was proved.In addition,perfect nonlinear monomials were used to construct optimal quinary cyclic codes with parameters[5<sub>m</sub>−1,5<sub>m</sub>−2m−2,4]optimal quinary cyclic codes over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>F</mi> <mrow> <msup> <mn>5</mn> <mi>m</mi> </msup> </mrow> </msub> </math></inline-formula>.…”
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    JobStart Part 4 Preparing Your Resume by Elizabeth B. Bolton, George O. Hack

    Published 2002-09-01
    “… This document is FY348, Part 4 of an 8 part series developed for the Department of Family, Youth and Community Sciences, Cooperative Extension Service, Institute of Food and Agricultural Sciences, University of Florida. …”
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    11p15.4 Microdeletion Associates with Hemihypertrophy by Surasak Puvabanditsin, Mehrin Sadiq, Marianne Jacob, Maaz Jalil, Kenya Cabrera, Omer Choudry, Rajeev Mehta

    Published 2018-01-01
    “…The results of whole genome SNP microarray analysis showed approximately 77 Kb interstitial deletion of the short arm of chromosome 11 (11p15.4). We report novel clinical findings of this rare genetic condition.…”
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    Quinolin-4-ones: Methods of Synthesis and Application in Medicine by Katarzyna Gach-Janczak, Justyna Piekielna-Ciesielska, Jakub Waśkiewicz, Kamil Krakowiak, Karol Wtorek, Anna Janecka

    Published 2025-01-01
    “…In this review, we described the plethora of methods leading to quinolin-4-ones. Several of these compounds have been used as antibiotics for over four decades, but recently, their antiproliferative effects have been of particular interest to researchers. …”
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    4-H Marine Aquarium Adult Partner Guide by R. Prudence Caskey

    Published 2023-05-01
    “…Written by Prudence Caskey, and published by the Florida 4-H Youth Development Program, UF/IFAS Extension, May 2023. …”
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  15. 575

    Supply chain performance in the age of Industry 4.0 by Tahsina Khan, Md Mehedi Hasan Emon

    Published 2025-02-01
    Subjects: “…Industry 4.0…”
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  16. 576

    Analysis of Cavitation Instabilities in a Four-Blade Inducer by O. Coutier-Delgosha, A. Dazin, G. Caignaert, G. Bois

    Published 2012-01-01
    “…The cavitating behavior of a four-blade inducer tested in the LML laboratory large test facility is considered in the present paper. …”
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  17. 577

    Research on Four Core Fiber WDM Device Technology by CHEN Li, XIAO Qingming, WANG Min, JIANG Lei

    Published 2024-12-01
    “…Then, by combining MCF technology and WDM technology, starting from the selection of four-core fiber, the debugging principle and debugging method of four-core WDM, a new four-core WDM original sample is designed and developed by using four-core fan-in fan-out device. …”
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    The Opercular-Subopercular Syndrome: Four Cases with Review of the Literature by M. Bakar, H. S. Kirshner, F. Niaz

    Published 1998-01-01
    “…We present four cases of the ‘opercular syndrome’ of volitional paresis of the facial, lingual, and laryngeal muscles (bilateral facio-glosso-pharyngo-masticatory paresis). …”
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    Affine Magic Cubes of Order 4: Concepts and Applications by Siriyakorn Duangmoon, Praphon Kanokladarom, Suchada Pongprasert, Thitarie Rungratgasame, Natsima Srithaisong

    Published 2022-01-01
    “…We convert a classical magic cube of order 4, which is an arrangement of 1,2,…,64, to a cube of order 4 whose entries belong to F26. …”
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