Self-shrinking MT19937 as stream cipher

The Berlekamp-Massey algorithm shows that the linear complexity of any bit
of the MT19937 is 19937, this means that taking the LSB of MT19937 is
equivalent to use a 19937-bit LFSR (also see a recent post on
sci.crypt.random-numbers).

In the paper "The Self-Shrinking Generator", Meier and Staffelbach showed
that the complexity of the attack for an N-bit self-shrinking LFSR is
O(2^(0.69*N)).

Using the LSB of MT19937 to get a self-shrinking generator, we get an attack
complexity of O(2^13757) which seems much bigger than the one of any stream
cipher.

Why don't use an MT19937 based self-shrinking generator as a stream cipher?

Cristiano


.

Relevant Pages

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    ... MT19937 is equivalent to use a 19937-bit LFSR (also see a recent ... In the paper "The Self-Shrinking Generator", ... showed that the complexity of the attack for an N-bit self-shrinking ... Using the LSB of MT19937 to get a self-shrinking generator, ...
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