Table 3. Terms and notions used by signature generation scheme for public key.

Notation	Description
Number of finite field elements	F
Affine transformation matrix 1	KG in F
Affine transformation matrix 2	KH in F
The matrix for central map transformation	M in F
The signature’s size	J
Vector x in K with the signature	$z(z_0,z_1,\dots ,Z_{j-1})$
The size of the communication digest	I
Vector x in F with the form of message	$x\left(x_0,x_1,\dots ,x_{j-1}\right)$
Public key	$\overline{P}=K_G\circ M\circ K_{H}inF$
Private key	Three transformations KG, M and KH in F