Let E be a B-complete (B -complete) locally convex algebra and $ the topological direct sum of countably many copies of the scalar field with a jointly continuous algebra multiplication. It has been shown that E is also B-complete (B -complete) for componentwise multiplication on E . B-and Br-completeness of E , the unitization of E, and also of E x for other multiplications on E ...

The Internet is rapidly evolving from a network of personal computers and servers to a network of smart objects (“things”) able to communicate with each other and with central resources. This evolution has created a demand for lightweight implementations of cryptographic algorithms suitable for resource-constrained devices such as RFID tags and wireless sensor nodes. In this paper we describe a...

We select a set of elliptic curves for cryptography and analyze our selection from a performance and security perspective. This analysis complements recent curve proposals that suggest (twisted) Edwards curves by also considering the Weierstrass model. Working with both Montgomery-friendly and pseudo-Mersenne primes allows us to consider more possibilities which improves the overall e ciency of...

We recall that a pseudo complex structure on a C∞-manifold X of dimension 2N is a C-module structure on the tangent bundle TX . Such a module structure induces an action of the group C∗ on TX , with λ ∈ C∗ acting by multiplication by λ. By transport of structures, the group C∗ acts also on each exterior power ∧TX , as well as on the complexified dual Ω := Hom(∧TX ,C). For p+ q = n, a (p, q)-for...