International Association
for Cryptologic Research

We construct an innovative SVP(CVP) solver for ideal lattices in case of any relative extension of number fields L/K of degree n where L is real(contained in R). The solver, by exploiting the relationships between the so-called local and global number fields, reduces solving SVP(CVP) of the input ideal A in field L to solving a set of (at most n) SVP(CVP) of the ideals Ai in field Li with relative degree 1≤ni