3 papers
cs.CR2025
Cryptographic Compression
Joshua Cooper, Grant Fickes
We introduce a protocol called ENCORE which simultaneously compresses and encrypts data in a one-pass process that can be implemented efficiently and possesses a number of desirabl…
math.CO2023
Zero loci of nullvectors and skew zero forcing in graphs and hypergraphs
Joshua Cooper, Grant Fickes
There is interesting internal structure in the nullspaces of graph and hypergraph adjacency matrices, especially for trees, bipartite graphs, and related combinatorial classes. The…
math.CO2021
Recurrence Ranks and Moment Sequences
Joshua Cooper, Grant Fickes
We introduce the "moment rank" and "unitary rank" of numerical sequences, close relatives of linear-recursive order. We show that both parameters can be characterized by a broad se…