Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

GC57: Metodo Alternativo per la Fattorizzazione Ultra-Rapida di Semiprimi con Applicazioni in Crittografia

Authors: Govi, Claudio;

GC57: Metodo Alternativo per la Fattorizzazione Ultra-Rapida di Semiprimi con Applicazioni in Crittografia

Abstract

Questo report presenta il metodo GC57, un algoritmo sperimentale per la fattorizzazione istantanea di numeri semiprimi di grandi dimensioni. Il metodo sfrutta proprietà matematiche e logiche non convenzionali che permettono di ottenere i fattori primi in tempo nullo, indipendentemente dalla dimensione del semiprimo. Sebbene non derivi da percorsi accademici tradizionali, l’algoritmo è frutto di anni di osservazione, programmazione sperimentale e verifica empirica. Viene fornita una descrizione del funzionamento e delle possibili applicazioni nell’ambito della crittografia e della sicurezza dei dati. A seguito della pubblicazione del presente saggio, sono stati introdotti due documenti separati come approfondimenti teorici del metodo GC57: • GC57 – Dentro il meccanismo del metodoDOI: https://zenodo.org/records/15742011Analizza nel dettaglio la struttura aritmetica della formula MCD⁡(S,S mod C)=A+x, dimostrando il recupero deterministico del fattore A+x • GC57 – Estensione ai contenitori modulariDOI: https://zenodo.org/records/15809129Introduce la versione estesa della formula, MCD⁡(S,S mod C+k⋅C)=A+x per la gestione di contenitori multipli in ambito modulare. Entrambi i documenti sono stati pubblicati successivamente in forma autonoma, come naturale prosecuzione del presente lavoro.

Keywords

Computer Science → Cryptography and Security, number theory, semiprime, factorization, GC57, post-quantum cryptography

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green