Verification of Synthesized by the IP-core Generator Multipliers of Extended Galois Fields GF(pn) Elements
Ivan Zholubak, Valerii Hlukhov · 2023
The article is devoted to testing the developed multiplier generator for elements of extended Galois fields $GF(p^{n})$. Such a generator facilitates the generation of VHDL descriptions for multipliers based on modified modified Guild cells, which are interconnected. The number of modified Guild cells can be $2^{999}$. The testing results of the generated multipliers are provided for Galois fields: $GF(3^{30}), G F(7^{17}), G F(23^{10})$, and $GF(53^{8})$, which have approximately the same order. The testing was conducted through simulation in the Active HDL environment. The simulation results were compared with the results of multiplication in the mathematical package Maple. The article demonstrates that the Galois field multiplier generator operates correctly. Testing was performed using three GF multiplication architectures: black box, multiplier, and adder, composed of primitive elements.