Abstract

A new table lookup method for finding the log and antilog of finite field elements has been developed by Glover. The method makes use of several smaller tables, and is based on the Chinese remainder theorem. It often results in a significant reduction in the memory requirements of the problem. A VLSI architecture is developed here for a special case of this new algorithm to perform finite field arithmetic including multiplication, division, and the finding of an inverse element in the finite field.

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