ternary Galois fields GF(3m)

Features of ternary Galois fields elements processing on modern element basis.

Features of ternary Galois fields GF(3m) elements processing operation units development for modern component base considered in this article. It is shown that operations execution over ternary Galois fields elements have several advantages over binary Galois fields ones. Moving to ternary elements of Galois fields operations decreases lookup table (LUT) redundancy in modern field programmable gate arrays (FPGA) and reduce hardware costs.