All Questions
3 questions
3
votes
1
answer
98
views
Lattice basis reduction over rings of number fields
Can one use lattice basis reduction algorithms, such as LLL over (low-rank) module lattices over rings of number fields of degree greater than 1? Is there any work on lattice reductions over Euclidean ...
- 1,099
8
votes
1
answer
585
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Main problems on lattice-basis reduction algorithms (such as LLL)?
What are the main open problems on lattice-basis reduction algorithms (such as LLL)? I am looking for problems satisfying the following two conditions:
(a) their solution would likely be of some ...
- 18.8k
3
votes
0
answers
328
views
Integer relation detection for Subset Sum or NPP?
Is there a way to encode an instance of Subset Sum or the Number Partition Problem so that a (small) solution to an integer relation yields an answer? If not definitely, then in some probabilistic ...
- 513