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As a complete layman, I do wonder why n grows with each subsequent curve, rather than with number of bits. Does this not suggest they were 'searching harder'?
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>they can be hit randomly with 2^30 tries

More precisely: not very random tries.

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unless your guess is that the hypothetical ECC weakness is somehow correlated with the LCG structure, the draws from the LCG are as good as random.

It is possible such a correlation could occur. but it would be much weirder than this being the result of a random search, which would already be very weird.

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