pyminisketch Namespace Reference

Classes
class	GF2Ops
class	Minisketch
class	TestGF2Ops
class	TestMinisketch
class	TestPolyFindRoots

Functions
def	poly_monic (poly, gf)
def	poly_divmod (poly, mod, gf)
def	poly_gcd (a, b, gf)
def	poly_sqr (poly, gf)
def	poly_tracemod (poly, param, gf)
def	poly_frobeniusmod (poly, gf)
def	poly_find_roots (poly, gf)
def	berlekamp_massey (syndromes, gf)

Variables
list	GF2_MODULI

Function Documentation

berlekamp_massey()

def pyminisketch.berlekamp_massey	(		syndromes,
			gf
	)

Implement the Berlekamp-Massey algorithm.

Takes as input a sequence of GF(2^field_size) elements, and returns the shortest LSFR
that generates it, represented as a polynomial.

Definition at line 341 of file pyminisketch.py.

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poly_divmod()

def pyminisketch.poly_divmod	(		poly,
			mod,
			gf
	)

Return the polynomial (quotient, remainder) of poly divided by mod.

Definition at line 197 of file pyminisketch.py.

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poly_find_roots()

def pyminisketch.poly_find_roots	(		poly,
			gf
	)

Find the roots of poly if fully factorizable with unique roots, [] otherwise.

Definition at line 260 of file pyminisketch.py.

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poly_frobeniusmod()

def pyminisketch.poly_frobeniusmod	(		poly,
			gf
	)

Compute x^(2^field_size) mod poly.

Definition at line 253 of file pyminisketch.py.

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poly_gcd()

def pyminisketch.poly_gcd	(		a,
			b,
			gf
	)

Return the polynomial GCD of a and b.

Definition at line 217 of file pyminisketch.py.

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poly_monic()

def pyminisketch.poly_monic	(		poly,
			gf
	)

Return a monic version of the polynomial poly.

Definition at line 191 of file pyminisketch.py.

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poly_sqr()

def pyminisketch.poly_sqr	(		poly,
			gf
	)

Return the square of polynomial poly.

Definition at line 228 of file pyminisketch.py.

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poly_tracemod()

def pyminisketch.poly_tracemod	(		poly,
			param,
			gf
	)

Compute y + y^2 + y^4 + ... + y^(2^(field_size-1)) mod poly, where y = param*x.

Definition at line 238 of file pyminisketch.py.

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Variable Documentation

GF2_MODULI

list pyminisketch.GF2_MODULI

Definition at line 18 of file pyminisketch.py.