Mekkioui, Abdallah Salah EddineMir, Zakaria2024-02-042024-02-042023-06-18https://dspace.univ-tlemcen.dz/handle/112/21686Numeric 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 algorithmenCryptography/security/Algorithms/Factorization/publickeyThesis