Fast inversion in composite Galois fields GF((2/sup n/)/sup m/)

Jorge Guajardo, Christof Paar · 2002

We describe an improvement of Itoh and Tsujii's algorithm for inversion over Galois fields GF((2/sup n/)/sup m/). In particular, raising an element to the 2/sup ln/ power, l an integer, in polynomial basis representation can be done with a binary, fixed matrix. Finally, we show that the inversion complexity is essentially given by the number of multiplications.

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