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For SIS, infinity norm beta implies solution values can lie in the region [-beta,beta] and therefore with negative values I assume we're using signed modulus range [-(q-1)/2,(q-1)/2]. So if beta is not enforced to be less than (q-1)/2 then solutions should always be trivial since they have access to the full modulus range. Yet the estimator only asks that beta < q (and can give large rop/rep for beta barely below q, eg q-2). Since it yields high rop/rep estimates for trivial instance params, I'm not sure how to judge what it yields for instance params I'd imagine are non-trivial.
Why this behavior? Any explanation would be great.
The text was updated successfully, but these errors were encountered:
Since this is reports non-trivial time for a trivial instance params I'm not sure how small beta must be to actually make the instance params non-trivial.
For SIS, infinity norm beta implies solution values can lie in the region [-beta,beta] and therefore with negative values I assume we're using signed modulus range [-(q-1)/2,(q-1)/2]. So if beta is not enforced to be less than (q-1)/2 then solutions should always be trivial since they have access to the full modulus range. Yet the estimator only asks that beta < q (and can give large rop/rep for beta barely below q, eg q-2). Since it yields high rop/rep estimates for trivial instance params, I'm not sure how to judge what it yields for instance params I'd imagine are non-trivial.
Why this behavior? Any explanation would be great.
The text was updated successfully, but these errors were encountered: