Abstract
This paper propose a new multiplicative inverse algorithm for Galois field GF(2n) whose elements are represented by optimal normal bases type II. The efficiency of the arithmetic algorithms depends on the basis and many foregoing papers use either polynomial or optimal normal basis. A normal basis element is always possible to rewrite canonical basis form. The proposed algorithm combines normal basis and canonical basis. It is shown that the suggested algorithm is suitable for implementation and reduces the computation time to 5–10 % of the normal basis algorithm.KeywordsCanonical BasisNormal BasisInversion AlgorithmElliptic Curve CryptographyArithmetic AlgorithmThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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