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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 5


Speeding Up Finite Field Inversion for Cryptographic Applications

PP: 2443-2452
Walid Mahmoud, Huapeng Wu,
Finite field inversion is considered a very time-consuming operation in scalar multiplication required in elliptic curve cryptosystems. A fast inversion algorithm in binary extension fields using normal basis representation is proposed. It is based on Fermatís theorem. Compared to existing similar methods, it is shown that for a given extension degree m of the concerned field the proposed algorithm requires as few as or fewer multiplications than any other similar algorithm in the literature.

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