Performance study and evaluation of the GNFS factorization algorithm
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University of Tlemcen
Abstract
Numeric Securityisthetopicofthecentury,Toprotectthesecrecyof
sensitivenumericaldataduringtransmissionandstorage,itrequirestheuse
of powerfulencryptiontechniques.Strongauthenticationandaccesscontrols
also aidinpreventingunauthorizedpartiesfromobtainingprivatenumeri-
cal data.Numericdataintegrityandsecuritymustberegularlymonitored,
audited, andcompliantwithindustrystandardstosafeguardpeopleandbusi-
nesses frompotentialfinancialloss,identitytheft,andothercyberthreats.
This thesisstudytheintegersfactorizationsinceManypublickeycryp-
tosystems dependonthedifficultyoffactoringlargeintegers,butfirstwewill
begoingthroughcryptographyfromthebeginningandtracingitdevelop-
mentuntilarrivingtothemostefficientalgorithmforfactorizationwishisthe
GNFS algorithm