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SIS

Short Integer Solution

Find a short nonzero modular relation.

Euclidean SIS · custom regime

Specify q(n), m(n), and the output norm bound β(n)

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ClassicalRegime dependentUniform matrix2c n + o(n)
#PUBLICATION / AUTHORSDATETIME BOUNDSPACE BOUNDEVIDENCE
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Comparison definition & assumptions
Regime
Specify q(n), m(n), and the output norm bound β(n)
Computation
Classical
Rigor
Regime dependent
Instances
Uniform matrix
Cost scale
2^{c n + o(n)}
Parameter
n
Description
An open category template: SIS needs a fixed modulus, density, norm, and success condition before an exponent is meaningful.
Comparison rules
No universal SIS exponent is seeded. Define q, m, β, the norm, and the asymptotic variable in the category before ranking results. Use separate categories for SIS∞, Euclidean SIS, and structured matrices.
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