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Everything about Short integer solution problem

Computational problem used in cryptography

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 problem (where for some constant ) is hard in the worst case. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Short integer solution problemA 5-minute orientation
  2. Pick up a classic book: Introduction to Computing Using PythonThe most-reprinted book on the subject
  3. Read the landmark paper: Stochastic chance constrained mixed-integer nonlinear programming models and the solution approaches for refinery short-term crude oil scheduling problemCited 26 times
  4. Go sideways: Ideal latticeA closely related topic
  5. Go sideways: Polynomial ringA closely related topic

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