Improved algorithm for division over GF (2 m )

Abstract
An improved algorithm for division over GF(2m) is proposed. It is based on a look-ahead procedure that allows division over GF(2m) to be performed in any number of clock cycles up to 2m – 1. The hardware complexity of the divider depends on the level of look-ahead chosen and hence the speed of operation required. An example using this divider in solving the key equation for single-error correcting Reed–Solomon codes is also considered.

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