Trapdoor is a key component of public key cryptography design which is the essential
security foundation of modern cryptography. Normally, the traditional way in designing a …

Crystallographic literature is relying more on observational rules for the determination of the
motif that could generate the whole representing Bravais lattice of a crystal. Here, we devise …

LLL-style lattice reduction algorithms iteratively employ size reduction and reordering on
ordered basis vectors to find progressively shorter, more orthogonal vectors. These …

A numerical semigroup $ M $ is a subset of the non-negative integers that is closed under
addition. A factorization of $ n\in M $ is an expression of $ n $ as a sum of generators of $ M …

A wide variety of problems in combinatorics and discrete optimization depend on counting
the set S of integer points in a polytope, or in some more general object constructed via …

OPTIMIZING POLYTOPAL NORMS WITH RESPECT TO NUMERICAL SEMIGROUPS A
Thesis Presented to the Faculty of San Diego State University Page 1 OPTIMIZING …