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Recently, Albrecht, Davidson, Larraia, and Pellet-Mary constructed a variant of the GGH13 without ideals and presented the distinguishing attacks in simplified branching program and obfuscation securi...
We investigate the merits of altering the Garg, Gentry and Halevi (GGH13) graded encoding scheme to remove the presence of the ideal ⟨g⟩⟨g⟩. In particular, we show that we ...
Recovering Short Generators of Principal Fractional Ideals in Cyclotomic Fields of Conductor pαqβ
Lattice-based cryptography principal ideal lattices SG-PIP
2017/6/6
Several recent cryptographic constructions - including a public key encryption scheme, a fully homomorphic encryption scheme, and a candidate multilinear map construction - rely on the hardness of the...
Recovering Short Generators of Principal Ideals in Cyclotomic Rings
Ideal Lattices Cryptanalysis
2015/12/31
A handful of recent cryptographic proposals rely on the conjectured hardness of the following problem
in the ring of integers of a cyclotomic number field: given a basis of a principal ideal that is ...