What does this research mean for the field?

A small increase in the number of connections in Linear Feedback Shift Registers (LFSRs) improves the statistical properties of Gaussian random number generators constructed from pseudonoise binary sequences. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This work aims to examine how the parameters of Gaussian random number generators influence their performance and statistical quality.

July 8, 2026Applicable Algebra in Engineering Communication and ComputingOpen Access

Measuring the quality of Gaussian random number generators based on CLT

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This work aims to examine how the parameters of Gaussian random number generators influence their performance and statistical quality.
Constructed Gaussian random number generators using maximal sequences and pseudonoise binary sequences.
Analyzed the impact of increasing connections in Linear Feedback Shift Registers (LFSRs).
Conducted computational experiments to validate theoretical findings.
Increased connections in LFSRs enhanced the statistical properties of the generators.
Various pseudorandom binary families demonstrated differences in implementation efficiency.
Theoretical guarantees from the Central Limit Theorem were employed to evaluate sample quality.

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Implication

Randomized trial investigates Gaussian random number generator quality in hardware implementations, suggesting optimized parameters based on theory.

Cite This Study

Soto et al. (2026) studied this question.

synapsesocial.com/papers/6a4de976d2ea289ef62839cf https://doi.org/10.1007/s00200-026-00749-2

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Implication

Randomized trial investigates Gaussian random number generator quality in hardware implementations, suggesting optimized parameters based on theory.

Measuring the quality of Gaussian random number generators based on CLT

Key Points

Discussion

Implication

Cite This Study

Measuring the quality of Gaussian random number generators based on CLT

Key Points

Discussion

Implication

Cite This Study

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