Title :
New bit-serial systolic multiplier for GF(2m) using irreducible trinomials
Author :
Diab, M. ; Poli, Alessandro
Author_Institution :
Univ. Paul Sabatier, Toulouse, France
fDate :
6/20/1991 12:00:00 AM
Abstract :
A bit-serial systolic architecture is presented for the product-sum computation P=AB+C in a finite filed GF(2m)=GF(2)(x)/(F(x)), such that F(x)=xm+x+1 is an irreducible trinomial over GF(2). It has a low complexity and does not require connections for the serial transfer of F(x).
Keywords :
digital arithmetic; logic circuits; multiplying circuits; systolic arrays; binary RS codes; bit-serial systolic architecture; decoder; encoder; irreducible trinomials; low complexity; product-sum computation; systolic multiplier;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19910738