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Once that is answered, the following question is crucial: are we more attractive than elliptic-curve groups or multiplicative groups of finite fields?


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If the answer to the last question is no , then you probably don't want to use Lie groups. My 2-cents: they seem unlikely to be useful. For the discrete logarithm problem to be hard, we'd want our group to have as little extra structure as possible. By the definition of a Lie group, we require a lot of geometric structure which has no use for our protocols.


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This may make the dlog problem easier, and hence parameters larger. For Lie algebras there is no direct use-case. When I googled this, I ended up here. So apparently someone has been able to Diffie-Hellman using some Lie algebra structure.

Lie Groups, Lie Algebras, and Some of Their Applications

Again, ask the questions from above. If you do worse than what's already out there, what is your use-case? It could be interesting, but it may be too little too late. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Are there any applications of Lie algebras or Lie groups in cryptography?

Lie Algebras and Applications by Francesco Iachello (ebook)

Asked 2 years, 5 months ago. Active 2 years, 5 months ago. Viewed times. Are Lie algebras or groups used in cryptography?

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How could Lie algebras or groups be used in a cryptographic algorithm? Are there any, for example, cryptographic algorithms which use Lie algebras? Maybe you should ask if Lie algebras and groups can be used for cryptography and how they could be used if it is the case. That way you can possibly circumvent your question being put on hold. Skip to content. Search for books, journals or webpages All Pages Books Journals. View on ScienceDirect. Authors: E. Imprint: North Holland.

Lie Algebras and Applications

Published Date: 30th October Page Count: View all volumes in this series: Studies in Mathematical Physics. Flexible - Read on multiple operating systems and devices.

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Lie Groups, Lie Algebras, and Some of Their Applications

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