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Parallelization of Two Arithmetic Operations over Finite Field GF(2ⁿ)

원문정보

초록

영어

This paper presents two parallel algorithms of basic arithmetic operations concerning multiple-precision integers over finite field GF(2n). The parallel algorithms of reduction operation and inversion-multiplication operation are designed by analyzing their data dependencies. Time complexities of the parallel algorithms and the sequential algorithms are calculated to make the quantitative comparison. The performance evaluation shows high efficiencies of the proposed parallel algorithms.

목차

Abstract
 1. Introduction
 2. Parallel Algorithms over Finite Field GF(2n)
  2.1 Parallel Reduction over GF(2n)
  2.2 Parallel Inversion-multiplication over GF(2n)
 3. Performance Evaluation
 4. Conclusions
 Acknowledgments
 References

저자정보

  • Yongnan Li School of Computer Science and Engineering, Beihang University
  • Limin Xiao School of Computer Science and Engineering, Beihang University

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