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