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Short integer solution problem

Short integer solution (SIS) and ring-SIS problems are two average-case problems that are used in lattice-based cryptography constructions. Lattice-based cryptography began in 1996 from a seminal work by Miklós Ajtai who presented a family of one-way functions based on SIS problem. He showed that it is secure in an average case if the shortest vector…

Ideal lattice, Lattices & Short integer solution problem

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Lattices

Ideal lattice

Short integer solution problem

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Short integer solution problem

Nodes17
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Triples0
Avg. degree1.88
Density0.117647
Components1

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displaystyle mathbb problem lattice ideal mathfrak sis boldsymbol ldots cyclic cryptography hard solution ring vector case operatorname quotient polynomial average

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