The 10-point and 12-point Number Theoretic Hilbert Transform
This work provides incremental extensions to number theoretic Hilbert transforms for use in signal processing and cryptography.
The paper tackled the development of 10-point and 12-point versions of the number theoretic Hilbert transform, resulting in polymorphic solutions for different moduli and increased multiplicity for cryptographic applications.
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.