SageMath

Sage is the go-to environment for mathematical cryptanalysis and attack modeling. Use it when standard scripting is not enough for algebraic structures and lattice workflows.

Typical use cases

• Finite field computations (GF, extension fields).
• Polynomial rings and elimination/resultants.
• Elliptic curve arithmetic and discrete-log style tasks.
• Lattice modeling (matrix, LLL) for partial leakage recovery.
• Fast prototyping of attack math before operationalizing in Python.

Invocation modes

# REPL
sage