pyecsca.ec.mod package

Provides several implementations of an element of ℤₙ.

The base class Mod dynamically dispatches to the implementation chosen by the runtime configuration of the library (see pyecsca.misc.cfg.Config). A Python integer based implementation is available under RawMod. A symbolic implementation based on sympy is available under SymbolicMod. If gmpy2 is installed, a GMP based implementation is available under GMPMod. If python-flint is installed, a flint based implementation is available under FlintMod.

Submodules

• pyecsca.ec.mod.base module
  • gcd()
  • extgcd()
  • jacobi()
  • square_roots()
  • cube_roots()
  • miller_rabin()
  • RandomModAction
    • RandomModAction.order
    • RandomModAction.exit()
    • RandomModAction.result
    • RandomModAction.inside
  • Mod
    • Mod.x
    • Mod.n
    • Mod.bit_length()
    • Mod.inverse()
    • Mod.is_residue()
    • Mod.sqrt()
    • Mod.is_cubic_residue()
    • Mod.cube_root()
    • Mod.random()
  • Undefined
    • Undefined.x
    • Undefined.n
    • Undefined.bit_length()
    • Undefined.inverse()
    • Undefined.sqrt()
    • Undefined.is_residue()
    • Undefined.cube_root()
    • Undefined.is_cubic_residue()
    • Undefined.random()
  • mod()
• pyecsca.ec.mod.flint module
  • FlintMod
    • FlintMod.x
    • FlintMod.n
    • FlintMod.bit_length()
    • FlintMod.inverse()
    • FlintMod.is_residue()
    • FlintMod.sqrt()
    • FlintMod.is_cubic_residue()
    • FlintMod.cube_root()
    • FlintMod.random()
• pyecsca.ec.mod.gmp module
  • GMPMod
    • GMPMod.n
    • GMPMod.x
    • GMPMod.bit_length()
    • GMPMod.inverse()
    • GMPMod.is_residue()
    • GMPMod.sqrt()
    • GMPMod.is_cubic_residue()
    • GMPMod.cube_root()
    • GMPMod.random()
• pyecsca.ec.mod.raw module
  • RawMod
    • RawMod.x
    • RawMod.n
    • RawMod.bit_length()
    • RawMod.inverse()
    • RawMod.is_residue()
    • RawMod.sqrt()
    • RawMod.is_cubic_residue()
    • RawMod.cube_root()
    • RawMod.random()
• pyecsca.ec.mod.symbolic module
  • SymbolicMod
    • SymbolicMod.x
    • SymbolicMod.n
    • SymbolicMod.bit_length()
    • SymbolicMod.inverse()
    • SymbolicMod.is_residue()
    • SymbolicMod.sqrt()
    • SymbolicMod.is_cubic_residue()
    • SymbolicMod.cube_root()
    • SymbolicMod.random()