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A New Left-to-Right Scalar Multiplication Algorithm Using a New Recoding Technique

초록

영어

Elliptic Curve Cryptosystem (ECC) is a well-known cryptosystem for securing the communications. The most important operation in ECC is scalar multiplication. The integer representation plays an important role in the performance of this operation. This paper presents and evaluates a novel recoding technique which reduces the average Hamming weight of integers. The Left-to-Right (L2R) scalar multiplication is modified to utilize this new integer representation. Our analysis shows that the computation cost (the number of required point addition/subtraction operation) in the proposed L2R scalar multiplication algorithm is effectively reduced in comparison with other modified L2R binary scalar multiplication algorithms.

목차

Abstract
 1. Introduction
 2. The Scalar Multiplication Algorithm
 3. The Recoding Techniques
  3.1. The Canonical Recoding Technique
  3.2. The Complementary Recoding Technique
 4. The Proposed Algorithms
  4.1. The Proposed Recoding Technique
  4.2. The Proposed Scalar Multiplication Algorithm
 5. Comparison
 6. Conclusion
 References

저자정보

  • Abdalhossein Rezai Academic Center for Education, Culture and Research (ACECR), Isfahan University of Technology (IUT) branch, Isfahan, Iran
  • Parviz Keshavarzi Electrical and Computer Engineering Faculty, Semnan University, Semnan, Iran

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