the normal basis of type 2

Galois Field Elements Multiplier Structural Complexity Evaluation

The article describes the results of evaluation of structural complexity of multi-section binary Galois fields elements multipliers. Elements of the fields are presented in the normal basis of type 2. The order of the field reaches 998. The hardware complexity multipliers allows to implement them on the FPGA. But because of the large structural complexity for certain combinations of the order of the field and the number of sections it is impossible. To identify ways to reduce structural complexity it and its components in main multiplier element – the multiplier matrix are estimated.