Example #1
0
// DecomposeAffineEncoding is an efficient way to factor an unknown affine encoding into its component linear and
// affine parts.
func DecomposeAffineEncoding(e encoding.Byte) (matrix.Matrix, byte) {
	m, c := matrix.Matrix(make([]matrix.Row, 8)), e.Encode(0)
	for i := uint(0); i < 8; i++ {
		m[i] = matrix.Row{e.Encode(1<<i) ^ c}
	}

	return m.Transpose(), c
}
Example #2
0
func (bl ByteLinear) Decode(i byte) byte {
	inv, ok := matrix.Matrix(bl).Invert()

	if !ok {
		panic("Matrix wasn't invertible!")
	}

	return inv.Mul(matrix.Row{i})[0]
}
Example #3
0
func parseMatrix(in []byte) (out matrix.Matrix, rest []byte) {
	if in == nil || len(in) < matrixSize {
		return
	}

	out = matrix.Matrix(make([]matrix.Row, 128))
	for row, _ := range out {
		out[row] = in[16*row : 16*(row+1)]
	}

	return out, in[matrixSize:]
}
Example #4
0
func (bl BlockLinear) Decode(i [16]byte) (out [16]byte) {
	inv, ok := matrix.Matrix(bl).Invert()

	if !ok {
		panic("Matrix wasn't invertible!")
	}

	res := inv.Mul(matrix.Row(i[:]))
	copy(out[:], res)

	return
}
Example #5
0
func (wl WordLinear) Decode(i [4]byte) (out [4]byte) {
	inv, ok := matrix.Matrix(wl).Invert() // Performance bottleneck.

	if !ok {
		panic("Matrix wasn't invertible!")
	}

	res := inv.Mul(matrix.Row(i[:]))
	copy(out[:], res)

	return
}
Example #6
0
// FindAtilde calculates a non-trivial matrix Atilde s.t. L <- Atilde = Atilde <- D(beta), where
// L = A_i <- D(beta) <- A_i^(-1)
func FindAtilde(constr *chow.Construction, L matrix.Matrix) matrix.Matrix {
	beta := CharToBeta[FindCharacteristic(L)]
	D, _ := DecomposeAffineEncoding(encoding.ByteMultiplication(beta))

	x := L.RightStretch().Add(D.LeftStretch()).NullSpace()

	m := matrix.Matrix(make([]matrix.Row, len(x)))
	for i, e := range x {
		m[i] = matrix.Row{e}
	}

	return m
}
Example #7
0
func (bl ByteLinear) Encode(i byte) byte { return matrix.Matrix(bl).Mul(matrix.Row{i})[0] }
Example #8
0
func (bl BlockLinear) Encode(i [16]byte) (out [16]byte) {
	res := matrix.Matrix(bl).Mul(matrix.Row(i[:]))
	copy(out[:], res)

	return
}
Example #9
0
func (wl WordLinear) Encode(i [4]byte) (out [4]byte) {
	res := matrix.Matrix(wl).Mul(matrix.Row(i[:]))
	copy(out[:], res)

	return
}