Cracking Factorization- Cryptography Challenges

Asset Durmagambetov; Aslan Durmagambetov

doi:10.20944/preprints202404.0125.v5

Preprint Article Version 5 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 31 March 2024 / Approved: 1 April 2024 / Online: 2 April 2024 (10:34:13 CEST)
Version 2 : Received: 2 April 2024 / Approved: 2 April 2024 / Online: 3 April 2024 (11:20:37 CEST)
Version 3 : Received: 4 April 2024 / Approved: 4 April 2024 / Online: 5 April 2024 (09:09:38 CEST)
Version 4 : Received: 6 April 2024 / Approved: 8 April 2024 / Online: 8 April 2024 (14:56:14 CEST)
Version 5 : Received: 8 April 2024 / Approved: 10 April 2024 / Online: 10 April 2024 (15:49:24 CEST)

This article presents a description of a new method for solving the factorization problem, based on the gradient descent algorithm. This approach demonstrates significant improvements in efficiency compared to traditional methods proposed in previous research. This article describes a new method for solving the factorization problem, based on the gradient descent algorithm, and demonstrates the transition from algebraic methods to approaches based on functional analysis. The proposed approach not only improves the efficiency of solving the problem but also allows the application of computational algorithms of functional analysis, opening new possibilities for research and optimization.

Decryption; factorization problem; gradient descent algorithm; new method for solving; transition from algebraic methods to approaches based on functional analysis

Computer Science and Mathematics, Security Systems

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Cracking Factorization- Cryptography Challenges

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