Some new platforms for algebraic cryptography and one method of increasing the security

Abstract

In this paper we discuss the possibility of using the categorical groupoids and the commutative operads in algebraic cryptography. Also, we introduce a general method of constructing the cryptographic protocols on the algebraic platforms. Under certain reasonable assumptions, this method allows to get a new sufficiently cryptographically strong protocol using several other protocols. Moreover, each of these protocols can be vulnerable. Sufficient cryptographic security means that the protocol will be protected for some preassigned finite time.