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Lattice-cryptography is the study and use of lattice problems applied to cryptography.

3 votes
2 answers
141 views

A Smudging Lemma in Lattice

I saw a paper LLW21 in EUROCRYPT 2021 that used this lemma, but there was no proof or references. How should this lemma be proved ?
constantine's user avatar
0 votes
0 answers
55 views

Does randomization make a big difference in the output of the BKZ algorithm?

We all know that block Korkine-Zolotarev (BKZ) algorithm is essentially a deterministic lattice reduction algorithm. However, in the actual implementation, the BKZ algorithm contains some randomizati …
constantine's user avatar
0 votes

Base of $(n+1)$ elements in a lattice

You just need to use LLL algorithm for $(b_1, \dots, b_{n+1})$. More specifically, In BGPS21,the Algorithm 1 and Theorem 3.6 gave a more efficient algorithm than LLL.
constantine's user avatar
6 votes

Reducing exact SVP to exact SIVP

It is non-trivial, You need to see the Corollary 7 in Mic07, Micciancio proved that a series of problems (including CVP and SIVP) in the Euclidean norm are equivalent in their exact version under pol …
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