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$\begingroup$ I have been considering making the goal of this project to construct a public key cryptosystems from the algebras of elementary embeddings and make the cryptosystem as secure and efficient as possible. Though, it is too early to discuss the specifics of this project. $\endgroup$

Joseph Van Name
– Joseph Van Name

2017-02-24 04:01:03 +00:00
Commented Feb 24, 2017 at 4:01
$\begingroup$ So it looks like the $n$-ary Laver tables could be used as platform for this key exchange arxiv.org/pdf/1305.4401.pdf. Furthermore, since the $n$-ary Laver tables can be endowed with a composition operation, the Ko-Lee key exchange applies to the $n$-ary Laver tables as well. This will be indeed the first and only practical application of set theory. If $n$-ary Laver table based cryptosystems are secure against classical computers, then it seems like they will continue to remain secure against quantum computers. $\endgroup$

Joseph Van Name
– Joseph Van Name

2017-04-07 01:49:24 +00:00
Commented Apr 7, 2017 at 1:49

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