Post-quantum public cryptosystems introduced so far do not define a scalable key infrastructure for the quantum era. We demonstrate here certification system based on Lizama’s non-invertible exchange protocol which can be used to implement secure, scalable, interoperable and efficient (PKI). show functionality of certificates across different domains. Finally, we discuss method that enables exh...

In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.

Literature for this section is for instance Sugiura [3, Ch. 1]. Let G be a group. Representations of G can be defined on any vector space (possibly infinite dimensional) over any field, but we will only consider representations on finite dimensional complex vector spaces. Let V be a finite dimensional complex vector space. Let GL(V ) be the set of all invertible linear transformations of V . Th...

In this article we discuss invertibility conditions for some state space models, including the models that underly simple exponential smoothing, Holt’s linear method, Holt-Winters’ additive method and damped trend versions of Holt’s and Holt-Winters’ methods. The parameter space for which the model is invertible is compared to the usual parameter regions. We find that the usual parameter restri...

Let G be a group. Representations of G can be defined on any vector space (possibly infinite dimensional) over any field, but we will only consider representations on finite dimensional complex vector spaces. Let V be a finite dimensional complex vector space. Let GL(V ) be the set of all invertible linear transformations of V . This is a group under composition. If V has dimension n and if we ...

⎯ One of the aims of cancelable biometrics is to protect privacy. In order to protect privacy, cancelable biometrics are preferably to be non-invertible such that no information can be revealed from the cancelable biometrics template, which is stored in databases for personal identification/verification. One way to achieve the non-invertibility is through the use of non-invertible transforms. R...