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Direct hardware solution to quadratic equation Z2 Z⊕β=0 in Galois fields based on normal basis representation

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

Normal basis representation is considered to represent the elements of Galois fields. The quadratic equation, Z2Z⊕β=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 )