The specifics of the Galois field GF(257) and its use for digital signal processing

An algorithm of digital logarithm calculation for the Galois field G F ( 257 ) is proposed. It is shown that this field is coupled with one of the most important existing standards that uses a digital representation of the signal through 256 levels. It is shown that for this case it is advisable to...

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Bibliographic Details
Published in:	Scientific reports Vol. 14; no. 1; pp. 15376 - 15
Main Authors:	Bakirov, Akhat, Matrassulova, Dinara, Vitulyova, Yelizaveta, Shaltykova, Dina, Suleimenov, Ibragim
Format:	Journal Article
Language:	English
Published:	London Nature Publishing Group UK 04.07.2024 Nature Publishing Group Nature Portfolio
Subjects:	639/705/1041 639/705/1042 639/705/258 Algorithms Computers Digital logarithm Galois fields Humanities and Social Sciences Mersenne numbers Modulo multiplication algorithm multidisciplinary Prime numbers Quasi-cyclic permutations Science Science (multidisciplinary) Signal processing UAV flight computers Quasi-cyclic permutations Mersenne numbers Modulo multiplication algorithm UAV flight computers Galois fields Digital logarithm
ISSN:	2045-2322, 2045-2322
Online Access:	Get full text
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