Title :
Direct hardware solution to quadratic equation Z2 ⊕Z⊕β=0 in Galois fields based on normal basis representation
Author :
Shayan, Yousef R. ; Tho Le-Ngoc
Author_Institution :
Concordia Univ., Montreal, Que.
fDate :
7/7/1988 12:00:00 AM
Abstract :
Normal basis representation is considered to represent the elements of Galois fields. The quadratic equation, Z2⊕Z⊕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
Keywords :
error correction codes; information theory; logic design; Galois fields; direct hardware solution; expandable hardware structure; independence from generating polynomial; normal basis representation; quadratic equation; regular hardware structure;
Journal_Title :
Electronics Letters
