Results 41 to 50 of about 3,554 (146)

A Multifunctional Unit for Designing Efficient RNS-Based Datapaths

IEEE Access, 2017
Inter-modulo operations are the most time consuming and costly operations of the residue number system (RNS), and one of the main obstacles to applying RNS in practice to the design of computing devices, namely for signed integer arithmetic.
Amir Sabbagh Molahosseini, Azadeh Alsadat Emrani Zarandi, Paulo Martins, Leonel Sousa   +3 more
doaj   +1 more source

Modular Calabi-Yau fourfolds and connections to M-theory fluxes

Journal of High Energy Physics
In this work, we study the local zeta functions of Calabi-Yau fourfolds. This is done by developing arithmetic deformation techniques to compute the factor of the zeta function that is attributed to the horizontal four-form cohomology.
Hans Jockers, Sören Kotlewski, Pyry Kuusela   +2 more
doaj   +1 more source

High Throughput Arithmetic Computing Unit for BFV Homomorphic Encryption

IEEE Open Journal of Circuits and Systems
Homomorphic Encryption (HE) enables secure computations on encrypted data, which is crucial for cloud and edge computing. The BFV scheme, widely used for integer arithmetic, faces performance bottlenecks in polynomial multiplication, especially in tensor
Rella Mareta, Ardianto Satriawan, Hanho Lee   +2 more
doaj   +1 more source

New Residue Arithmetic Based Barrett Algorithms: Modular Integer Computations

IEEE Access, 2016
In this paper, we derive new computational techniques for residue number systems (RNSs)-based Barrett algorithm (BA). The focus of this paper is an algorithm that carries out the entire computation using only modular arithmetic without conversion to ...
Hari Krishna Garg, Hanshen Xiao
doaj   +1 more source

Multiplying Polynomials without Powerful Multiplication Instructions

Transactions on Cryptographic Hardware and Embedded Systems
We improve the performance of lattice-based cryptosystems Dilithium on Cortex-M3 with expensive multiplications. Our contribution is two-fold: (i) We generalize Barrett multiplication and show that the resulting shape-independent modular multiplication ...
Vincent Hwang, YoungBeom Kim, Seog Chung Seo   +2 more
doaj   +1 more source

A numerical method for parallel calculation of the positional characteristic for error correction in a polyalphabetic polynomial modular code

Компьютерная оптика
The trend toward increasing the efficiency of computing systems and devices is directly related with the transition to parallel computing. We propose that parallel calculations should be conducted at the level of arithmetic operations using arithmetic ...
I.A. Kalmykov, A.A. Olenev, N.V. Kononova, T.A. Peleshenko, N.K. Chistousov   +4 more
doaj   +1 more source

Hybrid control approach for fast switching MMCs

The Journal of Engineering, 2019
This study presents a new hybrid control approach for different control and switching frequencies for converters of the modular multi-level converter (MMC) family.
Mathias Schnarrenberger, Dennis Bräckle, Michael Braun   +2 more
doaj   +1 more source

Certain bijective biholomophic transformation of a Siegel domain of type 2 onto the n-dimensional unit ball

上海师范大学学报. 自然科学版, 2013
Based on preserving more arithmetic properties among arithmetic subgroups under holomophic transformation，a certain bijiective biholomophic transformation of a Siegel of type 2 onto the n-dimensional unit ball is obtained． A concrete modular matrix over ...
Zhu Xiaolin, He Junya
doaj  

The EKOR-stratification on the Siegel modular variety with parahoric level structure [PDF]

Épijournal de Géométrie Algébrique
We study the arithmetic geometry of the reduction modulo $p$ of the Siegel modular variety with parahoric level structure. We realize the EKOR-stratification on this variety as the fibers of a smooth morphism into an algebraic stack parametrizing ...
Manuel Hoff
doaj   +1 more source

A new multimedia cryptosystem using chaos, quaternion theory and modular arithmetic. [PDF]

Multimed Tools Appl, 2023
Luis M, Daniel L, Isabel A, Deicy A.
europepmc   +1 more source