Features of digital signal processing algorithms using Galois fields GF(2n+1).

An alternating representation of integers in binary form is proposed, in which the numbers -1 and +1 are used instead of zeros and ones. It is shown that such a representation creates considerable convenience for multiplication numbers modulo p = 2n+1. For such numbers, it is possible to implement a...

Full description

Bibliographic Details
Main Authors: Ibragim E Suleimenov, Yelizaveta S Vitulyova, Dinara K Matrassulova
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0293294