_fmpz_mod_poly_split_rabin
Synopsis
#include <flint/fmpz_mod_poly.h>void _fmpz_mod_poly_split_rabin(fmpz_mod_poly_t a, fmpz_mod_poly_t b, const fmpz_mod_poly_t f, const fmpz_t halfp, fmpz_mod_poly_t t, fmpz_mod_poly_t t2, flint_rand_t randstate, const fmpz_mod_ctx_t ctx)sourceSplits f of degree at least 2, assumed to have \deg f distinct nonzero roots in \mathbb{F}_p, into two nontrivial factors a and b with \deg a \ge \deg b, as a = \gcd(f, (x + \delta)^{(p-1)/2} - 1) for random \delta (degree 2 is solved directly with a square root). halfp must be (p - 1)/2, and t, t_2 are scratch polynomials.
Cite this page
The FLINT team, “_fmpz_mod_poly_split_rabin (fmpz_mod_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_mod_poly/_fmpz_mod_poly_split_rabin.html (generated 2026-10-20).
@misc{flint-doc-fmpz-mod-poly-fmpz-mod-poly-split-rabin,
author = {{The FLINT team}},
title = {{\_fmpz\_mod\_poly\_split\_rabin (fmpz\_mod\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_mod_poly/_fmpz_mod_poly_split_rabin.html},
note = {Generated 2026-10-20}
}