inst/openfhe/src/core/include/math/README.md

In openfhe.R: R Interface to the 'OpenFHE' Fully Homomorphic Encryption Library

OpenFHE Core Math

We provide a brief description below, but encourage readers to refer to Read The Docs - Core Math for more information about the code.

Additionally, we encourage readers to refer to Read The Docs - Core Math Backends

Math Backends

OpenFHE supports a number of mathematical backends for various usecases. For more information refer to Math Backends.

Inheritance Diagram

Let Gen. = Generator

flowchart BT
    A[Distribution Generator] --> |Inherited by|B[Ternary Uniform Gen.];
    A[Distribution Generator] --> |Inherited by|C[Discrete Uniform Gen.];
    A[Distribution Generator] --> |Inherited by|D[Binary Uniform Gen.];
    A[Distribution Generator] --> |Inherited by|E[Discrete Gaussian Gen.];
    A[Distribution Generator] --> |Inherited by|F[Discrete Gaussian Generic Gen.];

File Listings

Binary Uniform Generator

• Generate Uniform distribution of binary values (mod 2)

DFT Transform

• Discrete Fourier Transform (FFT) code

Discrete Gaussian Generator

• Generate Gaussian distribution of discrete values.

Discrete Gaussian Generator Generic

• Implements the generic sampler by UCSD discussed in Gaussian Sampling over the Integers: Efficient, Generic, Constant-Time

Discrete Uniform Generator

• Generate Uniform distribution of discrete values.

Distr Gen

• Basic noise generation functionality

Distribution Generator

• Base class for distribution generators

Hardware Abstraction Layer (HAL)

• Code to switch between math backends

Matrix

• Templated matrix implementation for SIMD-compatible matrix code

Matrix Strassen

• Matrix Strassen Operations

NB Theory

• Number theory utilities
• Check if two numbers are coprime
• GCD of two numbers
• Primality testing
• witness function to test if a number is prime
• Eulers Totient function phin(n)
• Generator Algorithm

Ternary Uniform Generator

• Provides generation of uniform distribution of binary values

openfhe.R documentation built on Nov. 13, 2026, 5:07 p.m.