• Title/Summary/Keyword: Elliptic Curve Crvptosystem

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Hardware Implementation of Elliptic Curve Scalar Multiplier over GF(2n) with Simple Power Analysis Countermeasure (SPA 대응 기법을 적용한 이진체 위의 타원곡선 스칼라곱셈기의 하드웨어 구현)

  • 김현익;정석원;윤중철
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.41 no.9
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    • pp.73-84
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    • 2004
  • This paper suggests a new scalar multiplication algerian to resist SPA which threatens the security of cryptographic primitive on the hardware recently, and discusses how to apply this algerian Our algorithm is better than other SPA countermeasure algorithms aspect to computational efficiency. Since known SPA countermeasure algorithms have dependency of computation. these are difficult to construct parallel architecture efficiently. To solve this problem our algorithm removes dependency and computes a multiplication and a squaring during inversion with parallel architecture in order to minimize loss of performance. We implement hardware logic with VHDL(VHSIC Hardware Description Language) to verify performance. Synthesis tool is Synplify Pro 7.0 and target chip is Xillinx VirtexE XCV2000EFGl156. Total equivalent gate is 60,508 and maximum frequency is 30Mhz. Our scalar multiplier can be applied to digital signature, encryption and decryption, key exchange, etc. It is applied to a embedded-micom it protects SPA and provides efficient computation.