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Schoof's algorithm

Home Page: https://danou.github.io/schoof

License: MIT License

C 28.28% TeX 43.08% Ruby 0.06% JavaScript 10.50% CSS 11.07% HTML 7.00%
algorithm schoof ecc elliptic-curves finite-fields counting-points

schoof's Introduction

Schoof's algorithm

It's the sources of my project.

main.c

function.c

schoof.c

sage.txt

Warning !!!!

This new version :

  • the division polynomials are correct : I forgot to divide by two where k is even,
  • the improvement of schoof is correct : I wrote in fq_poly_set_coeff(..., fmpz_get_si(q)^2,fq) instead of fq_poly_set_coeff(..., fmpz_get_si(q)*fmpz_get_si(q),fq),
  • In the general case, I forgot to report y where f_k, f_tho, alpha, beta are even or odd. It's work for some cases.
  • polynomial.c print the division polynomials where k is prime.

I give a example in sage.txt where the algorithm works, but I need more time to fix the errors. I continue to look for the errors and correct them.

schoof's People

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