Radix-2w Arithmetic for Scalar Multiplication in Elliptic Curve Cryptography

AK Oudjida, A Liacha - … Transactions on Circuits and Systems I …, 2021 - ieeexplore.ieee.org
Elliptic curve scalar multiplication k. P, where k is a nonnegative constant and P is a point on
the elliptic curve, requires two distinct operations: addition (ADD) and doubling (DBL). To …

Radix- Arithmetic for Multiplication by a Constant

AK Oudjida, N Chaillet - … on Circuits and Systems II: Express …, 2014 - ieeexplore.ieee.org
In this brief, radix-2 r arithmetic is explored to minimize the number of additions in the
multiplication by a constant. We provide the formal proof that, for an N-bit constant, the …

Radix-2r Arithmetic for Multiplication by a Constant: Further Results and Improvements

AK Oudjida, N Chaillet… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In a previous brief, we proposed a new sublinear-runtime recoding heuristic for the
multiplication by a constant, accompanied by its upper bound complexity. In this brief, further …

VLSI-Friendly Filtering Algorithms for Deep Neural Networks

A Cariow, JP Papliński, M Makowska - Applied Sciences, 2023 - mdpi.com
The paper introduces a range of efficient algorithmic solutions for implementing the
fundamental filtering operation in convolutional layers of convolutional neural networks on …

Minimal filtering algorithms for convolutional neural networks

A Cariow, G Cariowa - Reliability Engineering and Computational …, 2021 - Springer
In this paper, we present several resource-efficient algorithmic solutions regarding the fully
parallel hardware implementation of the basic filtering operation performed in the …

Some algorithms for computing short-length linear convolution

A Cariow, JP Paplinski - Electronics, 2020 - mdpi.com
In this article, we propose a set of efficient algorithmic solutions for computing short linear
convolutions focused on hardware implementation in VLSI. We consider convolutions for …

Algorithm and Processor Architecture for the Implementation of the Minimum Filtering Technique in Complex-Valued CNNs

A Cariow, J Papliński - 2023 Signal Processing Symposium …, 2023 - ieeexplore.ieee.org
In this paper, we present a resource-efficient algorithmic solution regarding the fully parallel
hardware implementation of the basic filtering operation performed in the complex-valued …

[PDF][PDF] Mathematics and engineering sciences

T Al Smadi - Eastern European Scientific Journal, 2017 - auris-archiv.de
Базовая проблематика Скорость умножения улучшается либо за счет уменьшения
количества частичных произведений, либо за счет сокращения задержек дерева …

A comprehensive hdl model of a line associative register based architecture

MA Sparks - 2013 - uknowledge.uky.edu
Modern processor architectures suffer from an ever increasing gap between processor and
memory performance. The current memory-register model attempts to hide this gap by a …

A new binary arithmetic for finite-word-length linear controllers: MEMS applications

AK Oudjida, A Liacha, ML Berrandjia… - 2014 9th International …, 2014 - ieeexplore.ieee.org
This paper addresses the problem of optimal hardware-realization of finite-word-length
(FWL) linear controllers dedicated to MEMS applications. The biggest challenge is to ensure …