Software Implementation of the NIST Elliptic Curves Over Prime Fields

  title={Software Implementation of the NIST Elliptic Curves Over Prime Fields},
  author={Michael Brown and Darrel Hankerson and Julio L{\'o}pez Hernandez and Alfred Menezes},
This paper presents an extensive study of the software implementation on workstations of the NIST-recommended elliptic curves over prime fields. We present the results of our implementation in C and assembler on a Pentium II 400 MHz workstation. We also provide a comparison with the NIST-recommended curves over binary fields. 
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Showing 1-10 of 28 references

The Art of Computer Programming–Seminumerical Algorithms, Addison-Wesley

D. Knuth
3rd edition, • 1998
View 4 Excerpts
Highly Influenced

Efficient Arithmetic on Koblitz Curves

Des. Codes Cryptography • 2000
View 3 Excerpts
Highly Influenced

and C

J. Guajard
Paar, “Modified squaring algorithm”, preprint, • 1999
View 2 Excerpts
Highly Influenced

and A

D. Hankerson, J. Hernande
Menezes, “Software implementation of elliptic curve cryptography over binary fields”, Cryptographic Hardware and Embedded Systems–CHES • 2000
View 1 Excerpt

Comparison of three modular reduction functions ”

R. Govaerts A. Bosselaers, J. Vandewalle
Advances in Cryptology – Crypto ’ • 1999

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