The Number Theoretic Transform (NTT) is a powerful mathematical tool that has become
increasingly important in developing Post Quantum Cryptography (PQC) and Homomorphic …

The pioneering work of French mathematician Pierre de Fermat has attracted the attention of
mathematicians for over 350 years. This book was written in honor of the 400th anniversary …

We investigate image and video convolutions based on Fermat number transform (FNT)
modulo q= 2/sup M/+ 1 where M is an integer power of two. These transforms are found to …

Recognizing the importance of a fast and resource-efficient polynomial multiplication in
homomorphic encryption, in this paper, we design a multiplier-less number theoretic …

Abstract The Number Theoretic Transform (NTT) is a powerful mathematical tool that has
become increasingly important in developing Post Quantum Cryptography (PQC) and …

We encounter integer numbers daily, and they are literally everywhere around us. It is not
possible to avoid them, ignore them, or to be indifferent to them. So let us take together a …

SOME IDENTITIES OF k-MERSENNE NUMBERS Page 1 Advances and Applications in
Discrete Mathematics © 2017 Pushpa Publishing House, Allahabad, India http://www.pphmj.com …

This paper describes carry-less arithmetic operations modulo an integer 2^ M-1 in the
thousand-bit range, targeted at single instruction multiple data platforms and applications …

Fragile digital watermarking has been applied for authentication and alteration detection in
images. Utilizing the cosine and Hartley transforms over finite fields, a new transform domain …

The theory of digital filter banks for subband coding is well developed. The purpose of this
paper is to develop an analogous framework for the multiresolution analysis of sequences of …