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40 lines
1.3 KiB

25 years ago
  1. ABI Issues:
  2. Remove extra signatures in cl_FF_from_float.cc and cl_DF_from_double.cc.
  3. Algorithms:
  4. Niels Moeller's subquadratic GCD
  5. - polynomial division and gcd
  6. - polynomial documentation
  7. 7. add combinatorial, linear algebra, factorization, polynomial functions
  8. as in SAC-2.
  9. 7. finite fields, e.g.
  10. - gf256_log_2, gf256_antilog_2, gf256_power_of_2, gf256_add, gf256_minus,
  11. gf256_subtract, gf256_mul, gf256_inv, gf256_div, gf256_product, gf256_exp,
  12. gf256_term, gfmul, gfadd, gfinv, gfexp.
  13. more polynomial operations:
  14. x(), power, >>, <<, division, scalmult, content, primitivepart,
  15. gcd, xgcd, no_of_real_roots, factorization.
  16. modular polynomials: powmod etc.
  17. 7. chinese remainder algorithm, maybe Hensel-lifting as in Magnum.
  18. 8. factor and primality testing for small integers
  19. 8. primality test in Z:
  20. + polynomials cl_MUP_MI, cl_MUP_I
  21. use integer FFT for multiplication in cl_UP_MI and cl_MUP_MI
  22. + - Pollard rho
  23. + - complex values of j()
  24. - Hilbert polynomial for j() 7.6.1
  25. + roots of polynomials mod N 1.6.1
  26. + - elliptic curves, Jacobi representation
  27. - m.P on elliptic curve
  28. + Atkin's algorithm
  29. 10. factoring in Z:
  30. - small prime table,
  31. - Pollard rho,
  32. - multiple polynomial quadratic sieve
  33. Document the timing class