MarriageTheoremのこと

_ 連休三日目。久々の外食。

_ arXiv:math 1月9日分まで、IACR ePrint 2013/240まで確認済み

_ 気になった論文：Public key exchange using semidirect product of (semi)groups, Maggie Habeeb and Delaram Kahrobaei and Charalambos Koupparis and Vladimir Shpilrain, http://eprint.iacr.org/2013/226

In this paper, we describe a brand new key exchange protocol based on a semidirect product of (semi)groups (more specifically, on extension of a (semi)group by automorphisms), and then focus on practical instances of this general idea. Our protocol can be based on any group, in particular on any non-commutative group. One of its special cases is the standard Diffie-Hellman protocol, which is based on a cyclic group. However, when our protocol is used with a non-commutative (semi)group, it acquires several useful features that make it compare favorably to the Diffie-Hellman protocol. Here we also suggest a particular non-commutative semigroup (of matrices) as the platform and show that security of the relevant protocol is based on a quite different assumption compared to that of the standard Diffie-Hellman protocol.

（ACNS 2013にアクセプトされた論文と思われる）