Mathematical Foundations And Cryptographic Algorithms In Blockchain Technology

9 Jun

Authors: Prof. P.S.Sutar, Ms.Tanishka Shinde, Mr.Shubham Jare, Ms.Minal Jadhav, Mr.Swanpjeet Bhandare, Ms.Sakshi Lugade, Mr. Vijay Jadhav,, Mr. Subhan Maner,, Mr. Dipak Honshetti, Mr. Parth Amane,

 

Abstract: – This paper explores the essential fine and cryptographic principles that bolster blockchain technology. It highlights the significance of hash functions, digital autographs, and agreement mechanisms in securing, validating, and operating decentralized systems. Hash functions are examined for their places in maintaining data invariability and verification, while digital autographs are anatomized in relation to authentication and icing responsibility in peer- to- peer networks. The study also evaluates major agreement protocols similar as Proof of Work( PoW) and evidence of Stake( PoS), fastening on their effectiveness in achieving distributed agreement and precluding double- spending. In addition, arising pitfalls particularly from amount computing — are bandied, as they challenge the security of conventional cryptographic styles. The paper assesses current advancements inpost-quantum cryptography and proposes unborn exploration directions involving chassis- grounded, hash- grounded, and multivariate cryptographic schemes. By addressing both being and arising security challenges, this exploration aims to strengthen the adaptability of decentralized networks against evolving pitfalls.

DOI: http://doi.org/10.61463/ijset.vol.13.issue3.193