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Energy/Area-Efficient Scalar Multiplication with Binary Edwards Curves for the IoT.

Carlos Andres Lara-Nino1, Arturo Diaz-Perez2, Miguel Morales-Sandoval3

  • 1CINVESTAV Tamaulipas, Victoria 87130, Mexico. clara@tamps.cinvestav.mx.

Sensors (Basel, Switzerland)
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This study optimizes Elliptic Curve Cryptography (ECC) for the Internet of Things (IoT) by improving scalar multiplication architectures. Energy-efficient designs are presented, offering the best area/energy trade-offs for resource-constrained devices like Wireless Sensor Networks (WSN).

Keywords:
binary Edwards curveselliptic curve cryptographyinternet of thingslightweight cryptographylow-energylow-powerscalar multiplicationwireless sensor networks

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Area of Science:

  • Cryptography and Security
  • Computer Engineering
  • Embedded Systems

Background:

  • Internet of Things (IoT) applications require robust security for sensitive data.
  • Resource constraints (processing power, memory) in IoT devices challenge traditional cryptographic methods.
  • Elliptic Curve Cryptography (ECC) is a promising solution, but its scalar multiplication is computationally intensive and energy-consuming.

Purpose of the Study:

  • To explore energy-oriented improvements for Elliptic Curve Cryptography (ECC) scalar multiplication architectures.
  • To develop a low-area scalar multiplication architecture for Binary Edwards Curves (BEC) suitable for IoT.
  • To evaluate the hardware costs and energy efficiency of proposed optimization techniques.

Main Methods:

  • Focused on energy-saving techniques applied to a low-area scalar multiplication architecture for Binary Edwards Curves (BEC).
  • Designed and implemented various energy-oriented techniques in hardware.
  • Developed a novel evaluation method to measure the effectiveness of these energy-saving optimizations.

Main Results:

  • Reported the design and implementation costs (in hardware) for each explored energy-oriented technique.
  • Demonstrated significant energy reductions in the scalar multiplication architecture.
  • Achieved the most efficient area/energy trade-offs for ECC scalar multiplication in the literature, to the best of our knowledge.

Conclusions:

  • The proposed energy-reducing techniques significantly enhance the efficiency of ECC scalar multiplication for IoT.
  • The developed architecture offers a superior balance between area and energy consumption for resource-constrained devices.
  • This work provides a valuable contribution to securing the Internet of Things (IoT) and Wireless Sensor Networks (WSN).