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29 March 2024
 
  » arxiv » cs.CR/0112014

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Guaranteeing the diversity of number generators
Adi Shamir ; Boaz Tsaban ;
Date 12 Dec 2001
Journal Information and Computation 171 (2001), 350--363
Subject Cryptography and Security; Computational Complexity; Combinatorics ACM-class: G.3; G.2.1; D.4.6 | cs.CR cs.CC math.CO
AbstractA major problem in using iterative number generators of the form x_i=f(x_{i-1}) is that they can enter unexpectedly short cycles. This is hard to analyze when the generator is designed, hard to detect in real time when the generator is used, and can have devastating cryptanalytic implications. In this paper we define a measure of security, called_sequence_diversity_, which generalizes the notion of cycle-length for non-iterative generators. We then introduce the class of counter assisted generators, and show how to turn any iterative generator (even a bad one designed or seeded by an adversary) into a counter assisted generator with a provably high diversity, without reducing the quality of generators which are already cryptographically strong.
Source arXiv, cs.CR/0112014
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