Full spectral testing of linear congruent method with a maximum period

TL;DR

This paper conducts a comprehensive spectral analysis of all maximum period linear congruent sequences to identify the most effective random number generators based on their spectral properties.

Contribution

It provides a complete spectral analysis of all maximum period linear congruent sequences, selecting the best generators based on their spectral characteristics.

Findings

Identified the optimal linear congruent sequences for randomness.

Established spectral criteria for evaluating generator quality.

Compared various sequences to determine the best performers.

Abstract

In this paper the spectral analysis of all possible linear congruent sequences with a maximum period is conducted and the best random number generators are selected among them.