Mathematical Analysis of The Hash Functions as a Cryptographic Tools for Blockchain

Abstract

Blockchain is one of the most interestingly developing technologies today, with its applications in many fields from smart contracts to cryptocurrencies. In this respect, blockchain is a hot modern topic nowadays. This study presents a mathematical analysis of cryptographic hash functions, which are one of the most important elements for understanding the security foundations of this technology. In this analysis presented; Hash functions, which are one of the building blocks of blockchain technology, used to ensure information integrity, have proven to be resistant to collision resistance, which is very important in data mining. Thus, a theory has been put forward that will contribute to time and energy saving, which is one of the important problems in data mining, in which blockchain technology is used.

Keywords

• hash functions
• blockchain
• cryptographic hash functions
• mathematical analysis
• hash functions, blockchain, cryptographic hash functions, mathematical analysis

References

1. [1] Paar, C., Pelzl, J. Understanding Cryptography. A Textbook for Students and practitioners; Springer- Heidelberg, Germany, 2010.
2. [2] Rosen, K. An INTRODUCTION to CRYPTOGRAPHY. Taylor&Francis Group, USA. 2007.
3. [3] NIST. Secure Hash Standard (SHS). Federal Information Processing Standard Publication. FIPS 180-4. 2015. Available online: https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.180- 4.pdf (accessed on 15 August 2021).
4. [4] Dwork, C.; Naor, M. Pricing via Processing or Combatting Junk Mail. In Advances in Cryptology-Proceedings of Crypto’92; Brickell, E.F., Ed.; Springer: Berlin, Germany, 1993; pp. 139–147.
5. [5] Jakobsson, M.; Juels, A. Proofs of Work and Bread Pudding Protocols (Extended Abstract). In Secure Information Networks; Preneel, B., Ed.; Springer: Boston, MA, USA, 1999; pp. 258–272.