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ASIACRYPT
1999
Springer

Linear Complexity versus Pseudorandomness: On Beth and Dai's Result

13 years 8 months ago
Linear Complexity versus Pseudorandomness: On Beth and Dai's Result
Abstract. Beth and Dai studied in their Eurocrypt paper [1] the relationship between linear complexity (that is, the length of the shortest Linear Feedback Shift Register that generates the given strings) of strings and the Kolmogorov complexity of strings. Though their results are correct, some of their proofs are incorrect. In this note, we demonstrate with a counterexample the reason why their proofs are incorrect and we prove a stronger result. We conclude our note with some comments on the use of the LIL test (the law of the iterated logarithm) for pseudorandom bits generated by pseudorandom generators.
Yongge Wang
Added 03 Aug 2010
Updated 03 Aug 2010
Type Conference
Year 1999
Where ASIACRYPT
Authors Yongge Wang
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