FLINT3.7.0-dev

_fmpz_mod_poly_minpoly_bm, fmpz_mod_poly_minpoly_bm

Synopsis#include <flint/fmpz_mod_poly.h>
slong _fmpz_mod_poly_minpoly_bm(fmpz * poly, const fmpz * seq, slong len, const fmpz_mod_ctx_t ctx)source
void fmpz_mod_poly_minpoly_bm(fmpz_mod_poly_t poly, const fmpz * seq, slong len, const fmpz_mod_ctx_t ctx)source

Like fmpz_mod_poly_minpoly, using the Berlekamp–Massey algorithm [Ber1968] [Mas1969], in O(\mathit{len} \cdot d) operations for a minimal polynomial of degree d.

References#

  • [Ber1968] E. R. Berlekamp. Algebraic Coding Theory. McGraw-Hill, 1968.
  • [Mas1969] J. L. Massey. Shift-register synthesis and BCH decoding. IEEE Transactions on Information Theory 15 (1969), 122–127.
Cite this page

The FLINT team, “_fmpz_mod_poly_minpoly_bm, fmpz_mod_poly_minpoly_bm (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_minpoly_bm.html (generated 2026-10-20).