|
M4RIE
0.20111004
|
|
M4RIE
0.20111004
|
\(\mathbb{F}_{2^e}\) More...
#include <gf2e.h>
Data Fields | |
| deg_t | degree |
| word | minpoly |
| word * | pow_gen |
| word * | red |
| word ** | _mul |
| word(* | inv )(const gf2e *ff, const word a) |
| word(* | mul )(const gf2e *ff, const word a, const word b) |
\(\mathbb{F}_{2^e}\)
| word** gf2e_struct::_mul |
mul[a][b] holds \( a \cdot b\) for small fields.
| deg_t gf2e_struct::degree |
The degree \(e\).
| word(* gf2e_struct::inv)(const gf2e *ff, const word a) |
implements \(a^{-1}\) for a in \(\mathbb{F}_{2^e}\)
| word gf2e_struct::minpoly |
Irreducible polynomial of degree \(e\).
| word(* gf2e_struct::mul)(const gf2e *ff, const word a, const word b) |
implements \(a \cdot b\) for a in \(\mathbb{F}_{2^e}\).
| word* gf2e_struct::pow_gen |
pow_gen[i] holds \(a^i / \langle f\rangle\) for \(a\) a generator of this field.
| word* gf2e_struct::red |
red[i] holds precomputed reductors for the minpoly.
1.8.7
