Clever Geek Handbook

How to share your secrets and win

In this article, you will learn:





  • What are secret sharing schemes and what they are eaten with





  • Why threshold schemes are good





  • The idea of ​​the Mignott scheme





  • Carnin-Green-Hellman scheme idea





  • Where such schemes are applied





What are secret sharing schemes and why are they needed?

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p_1 <p_2 <⋯ <p_n , \ prod _ {i = 0} ^ {t-2} p_ {ni} <\ prod _ {i = 1} ^ {t} p_ {i} , n – , n≥2 2≤t≤n.





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To create threshold cryptosystems, such open encryption systems can be used, such as:





  • Cryptosystem RSA





  • El Gamal Cryptosystem





Threshold cryptosystems are used in many areas, for example, for storing the secret key of a certification authority, in government and military areas, cloud environments and electronic voting schemes.





Sources

  • Karnin E. D., Greene J. W., Hellman M. E. “On Secret Sharing Systems” // IEEE, 1983.





  • Schneier B. “Applied Cryptography. Protocols, algorithms, source texts in the C language ”- Triumph, 2002





  • https://ru.wikipedia.org/wiki/Sharing_Secret





  • http://cryptowiki.net/index.php?title=Secret_Sharing Schemes._Threshold_Cryptography











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