Generators with Guaranteed Diversity

Title: Generators with Guaranteed Diversity

Research Question: How can we ensure the diversity of number generators to prevent them from entering unexpectedly short cycles, making them vulnerable to cryptanalytic attacks?

Methodology: The researchers introduced a measure of security called sequence diversity, which generalizes the notion of cycle-length for non-iterative generators. They then proposed a class of counter assisted generators and demonstrated how to turn any iterative generator into a counter assisted generator with a provably high diversity, without reducing the quality of generators that are already cryptographically strong.

Results: The researchers showed that their method can be applied to any iterative generator, even those designed or seeded by an adversary, to create a counter assisted generator with a guaranteed high diversity. This means that the generator can produce long cryptographically secure sequences, reducing the risk of cryptanalytic attacks.

Implications: This research has significant implications for the field of cryptography. It provides a practical solution to a long-standing problem in using iterative number generators, which can be vulnerable to cryptanalytic attacks due to unexpectedly short cycles. The proposed method can be applied to any iterative generator, making it more secure and reliable for use in cryptographic applications.

Link to Article: https://arxiv.org/abs/0112014v2 Authors: arXiv ID: 0112014v2