Maximum Distance Separable Codes to Order

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Ted Hurley
Ted Hurley
2
Donny Hurle
Donny Hurle
3
Barry Hurley
Barry Hurley

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GJSFR Volume 21 Issue F4

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The objective of our study was to evaluate, in a population of Togolese People Living With HIV(PLWHIV), the agreement between three scores derived from the general population namely the Framingham score, the Systematic Coronary Risk Evaluation (SCORE), the evaluation of the cardiovascular risk (CVR) according to the World Health Organization.
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Maximum distance separable (MDS) are constructed to required specifications. The codes are explicitly given over finite fields with efficient encoding and decoding algorithms. Series of such codes over finite fields with ratio of distance to length approaching (1 -R) for given R, 0 < R < 1 are derived. For given rate R = r n, with p not dividing n, series of codes over finite fields of characteristic p are constructed such that the ratio of the distance to the length approaches (1 -R). For a given field GF(q) MDS codes of the form (q-1, r) are constructed for any r. The codes are encompassing, easy to construct with efficient encoding and decoding algorithms of complexity max{O(n log n), t 2 }, where t is the error-correcting capability of the code.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

Ted Hurley. 2021. \u201cMaximum Distance Separable Codes to Order\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 21 (GJSFR Volume 21 Issue F4): .

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Maximum Distance Separable Codes for research excellence in information theory and coding sciences.
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 00A69
Version of record

v1.2

Issue date

October 9, 2021

Language

English

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Maximum Distance Separable Codes to Order

Ted Hurley
Ted Hurley
Donny Hurle
Donny Hurle
Barry Hurley
Barry Hurley

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