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. Computing,the inverse of a number,in finite fields GF(p) or GF(2,) Montgomery inverse  algorithm  to  accommodate  multi-bit  shifting  hardware,  making,it  very ,similar ,to  a ,previously ,proposed ,GF(p)  algorithm.  The  architecture is  intended  to  be  scalable,  which  allows  the  hardware  to  compute  the inverse of long,precision numbers,in a repetitive way. After implementing this unified  design  it  was ,compared ,with  other  designs.  The  unified  hardware  was found  to  be  eight  times  smaller  than  another  reconfigurable  design,  with  comparable,performance. ,Even  though ,the  unified  design ,consumes ,slightly  more area and it is slightly slower than the scalable inverter implementations,for GF(p) only, it is a practical solution whenever arithmetic in the two finite fields is needed.

Scalable and Unified Hardware to Compute Montgomery Inverse in GF(p) and GF(2n)