3
$\begingroup$

Given $f(x,y)\in\mathbb Z[x,y]$ Coppersmith in https://link.springer.com/chapter/10.1007%2F3-540-68339-9_16 provides a provable method to find integer roots in polynomial time and this method was also studied in https://link.springer.com/chapter/10.1007/978-3-540-24676-3_29 and https://link.springer.com/chapter/10.1007/11426639_15.

Have these methods been implemented in Python or Mathematica?

Sage has small_roots() but that is only for the univariate situation.

$\endgroup$
4
$\begingroup$

An implementation in SageMath is available at https://github.com/ubuntor/coppersmith-algorithm

| cite | improve this answer | |
$\endgroup$
  • $\begingroup$ I saw that too. Not sure if it has been tested or just an amateur post. $\endgroup$ – 1.. Oct 6 at 4:42
  • $\begingroup$ Why not give it a try? $\endgroup$ – Max Alekseyev Oct 6 at 4:52

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.