Abstract

Selection Algorithm and Generation Algorithm of elliptic curves have been the focus of research and hotspot of the Elliptic Curve Cryptosystem. This paper discusses a random elliptic curve realization method of Embedded Mobile Equipment, the SEA algorithm and its improved algorithm from Elliptic Curve's selection, Elliptic Curve's structure and Elliptic Curve's generation. Ensuring that the embedded system in the security situation goes through invariable situation causes the embedded system to realize a fast elliptic curve realization method, which enhances the efficiency of embedded system.

Highlights

  • Embedded Mobile Equipment's processor mostly is ARM9, Strong ARM or Xscale and so on

  • In the Wi-Fi encryption algorithm which is suited to the characteristics of embedded mobile equipment, computing secure access is less

  • The selection and calculation of elliptic curves would be unbearable for embedded devices

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Summary

INTRODUCTION

Embedded Mobile Equipment's processor mostly is ARM9, Strong ARM or Xscale and so on. The processor's processing speed and the operational capability are limited. Most embedded mobile equipments offer many kinds of data access methods, the use of Wi-Fi access methods being more popular. In the Wi-Fi encryption algorithm which is suited to the characteristics of embedded mobile equipment, computing secure access is less. The selection and calculation of elliptic curves would be unbearable for embedded devices. In order to speed up the processing speed, the use of high speed ARM processor and the specialpurpose DSP chip, simultaneously makes the algorithm achieve a better detection. This article discusses the weft detection method from the perspective of image recognition algorithms, and does not include the discussion on implementation in DSP processor, ARM and DSP control process

SELECTION OF ELLIPTIC CURVES
CONSTRUCTION OF ELLIPTIC CURVES
FAST GENERATING ALGORITHM
Improved Modulus Algorithm
Fast modulus algorithm
Algorithm Efficiency Analysis else return 2P
CONCLUSIONS
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