Abstract
We conjecture a Fibonacci-like property on the number of numerical semigroups of a given genus. Moreover we conjecture that the associated quotient sequence approaches the golden ratio. The… Expand

A peer-to-peer PIR system is described in this paper which relies on an underlying combinatorial structure to reduce the required key material and increase availability.Expand

A peer-to-peer UPIR system is described in this paper which relies on an underlying combinatorial structure to reduce the required key material and increase availability.Expand

We propose a modification of the P2P UPIR protocol in which the users form a peer-to-peer network over which they collaborate in protecting the privacy of each other.Expand

We introduce the notion of pattern for numerical semigroups, which allows us to generalize the definition of Arf numerical semigroups. In this way infinitely many other classes of numerical… Expand

We present a new index, the c-index, in which the evaluated objects are the citations received by an author, a group of authors, a journal, etc., the quality function of a citation is the collaboration distance between the authors of the cited and the citing papers, and the sentencing line can take slopes between 0 and ∞.Expand

We present a unique decoding algorithm of algebraic geometry (AG) codes on plane curves, Hermitian codes in particular, from an interpolation point of view, which corrects errors of weight up to half of the order bound on the minimum distance of the AG code.Expand