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International Journal for Research Trends and Innovation
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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Issue: March 2026
Volume 11 | Issue 3
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Impact Factor : 8.14
Issue per Year : 12
Volume Published : 11
Issue Published : 118
Article Submitted : 21579
Article Published : 8531
Total Authors : 22438
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| Paper Title: | Mathematical Foundations and Risk Evaluation of Zero Knowledge Proofs in Modern Cryptographic Systems" |
| Authors Name: | Dr.vivek Kumar namdeo |
| Download E-Certificate: | Download |
| Author Reg. ID: |
IJRTI_206945
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| Published Paper Id: | IJRTI2511002 |
| Published In: | Volume 10 Issue 11, November-2025 |
| DOI: | |
| Abstract: | Zero Knowledge Proofs (ZKPs) are cryptographic protocols that allow one party to prove the validity of a statement without revealing any underlying information. This paper investigates the mathematical foundations of ZKPs, focusing on their reliance on number theory, group theory, and elliptic curve cryptography. We analyze popular ZKP systems such as zk-SNARKs and zk-STARKs, outlining their computational structures and assumptions. In parallel, the paper evaluates inherent risks in ZKP implementation, including cryptographic assumptions, scalability, and post-quantum security. A risk assessment framework is proposed to evaluate both theoretical vulnerabilities and real-world deployment challenges, offering recommendations for more secure ZKP adoption in privacy-preserving applications. |
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| Cite Article: | "Mathematical Foundations and Risk Evaluation of Zero Knowledge Proofs in Modern Cryptographic Systems"", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2455-2631, Vol.10, Issue 11, page no.a8-a12, November-2025, Available :http://www.ijrti.org/papers/IJRTI2511002.pdf |
| Downloads: | 000297 |
| ISSN: |
2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2511002
Registration ID:206945
Published In: Volume 10 Issue 11, November-2025
DOI (Digital Object Identifier):
Page No: a8-a12 Country: Jhansi , Uttar Pradesh , India Research Area: Mathematics Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2511002 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2511002 |
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED,
Journal Starting Year (ESTD) : 2016
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