IEEE

Diophantine Equation and the Euclidean Algorithm: Methods and Philosophy of the Algebraic Approach to Linear Multivariable Control [Lecture Notes]

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...
IEEE

Integer Modular Multiplication With Barrett Reduction and Its Variants for Homomorphic Encryption Applications: A Comprehensive Review and an Empirical Study

Abstract: Modular arithmetic calculations, such as modular addition and multiplication, are fundamental building blocks to Post-Quantum Cryptography (PQC) and Homomorphic Encryption (HE) systems.
GitHub

Phase codes emerge in recurrent neural networks optimized for modular arithmetic

Recurrent neural networks (RNNs) can implement complex computations by leveraging a range of dynamics, such as oscillations, attractors, and transient trajectories. A growing body of work has ...
GitHub

Arithmetic-Logic-Unit-FPGA

VHDL based 8-bit ALU system. Three modular ALUs, synchronous latch, Signed SSEG driver, Moore FSM controller, and a 3-8 Decoder. Fully synthesizable for FPGA demos.