New bit parallel multiplier with low space complexity for all irreducible trinomials over GF(2 n)

Young In Cho, Nam Su Chang, Chang Han Kim, Young Ho Park, Seokhie Hong

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Koç and Sunar proposed an architecture of the Mastrovito multiplier for the irreducible trinomial f(x)=x n+x k+1 , where k ≠ n/2 to reduce the time complexity. Also, many multipliers based on the Karatsuba-Ofman algorithm (KOA) was proposed that sacrificed time efficiency for low space complexity. In this paper, a new multiplication formula which is a variant of KOA presented. We also provide a straightforward architecture of a non-pipelined bit-parallel multiplier using the new formula. The proposed multiplier has lower space complexity than and comparable time complexity to previous Mastrovito multipliers' for all irreducible trinomials.

Original languageEnglish
Article number5999752
Pages (from-to)1903-1908
Number of pages6
JournalIEEE Transactions on Very Large Scale Integration (VLSI) Systems
Issue number10
Publication statusPublished - 2012


  • Bit-parallel multiplier
  • Mastrovito multiplication
  • finite field
  • irreducible trinomial
  • polynomial basis

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Electrical and Electronic Engineering

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