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Refinement of the four-dimensional GLV method on elliptic curves

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Publication:1746951
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DOI10.1007/978-3-319-72565-9_2zbMath1384.94110OpenAlexW2776973246MaRDI QIDQ1746951

Yuqing Zhu, Hairong Yi, Dong-Dai Lin

Publication date: 26 April 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-72565-9_2

zbMATH Keywords

elliptic curvesGLV methodfour-dimensional scalar decomposition


Mathematics Subject Classification ID

Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)


Related Items

A new twofold Cornacchia-type algorithm and its applications



Cites Work

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  • Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0
  • Four-dimensional Gallant-Lambert-Vanstone scalar multiplication
  • Efficient 3-dimensional GLV method for faster point multiplication on some GLS elliptic curves
  • Counting points on elliptic curves over finite fields
  • The Eta Pairing Revisited
  • The Arithmetic of Elliptic Curves
  • Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
  • Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication
  • Handbook of Elliptic and Hyperelliptic Curve Cryptography
  • Pairing-Friendly Elliptic Curves of Prime Order
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