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Direct hardware solution to quadratic equation Z/sup 2/(+)Z(+) beta =0 in Galois fields based on normal basis representation

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2 Author(s)
Y. R. Shayan ; Concordia Univ., Montreal, Que., Canada ; Tho Le-Ngoc

Normal basis representation is considered to represent the elements of Galois fields. The quadratic equation, Z/sup 2/(+)Z(+) beta =0, is solved directly and a new, simple, regular and expandable hardware structure is introduced to solve this equation. The main advantage of this structure over the structures in non-normal basis representations is its independence from generating polynomial of the field.<>

Published in:

Electronics Letters  (Volume:24 ,  Issue: 14 )