The 10-point and 12-point Number Theoretic Hilbert Transform

TL;DR

This paper introduces 10-point and 12-point number theoretic Hilbert transforms, expanding their applications in signal processing and cryptography through multiple solutions with different moduli.

Contribution

It presents new 10-point and 12-point NHT transforms and explores polymorphic solutions for various moduli, enhancing cryptographic potential.

Findings

Multiple solutions found for different moduli

Transforms applicable in signal processing and scrambling

Enhanced cryptographic applicability

Abstract

This paper presents 10-point and 12-point versions of the recently introduced number theoretic Hilbert (NHT) transforms. Such transforms have applications in signal processing and scrambling. Polymorphic solutions with respect to different moduli for each of the two cases have been found. The multiplicity of solutions for the same moduli increases their applicability to cryptography.