Botan::GF2m_Field Class Reference

#include <gf2m_small_m.h>

Public Member Functions
gf2m	get_cardinality () const
size_t	get_extension_degree () const
	GF2m_Field (size_t extdeg)
gf2m	gf_div (gf2m x, gf2m y) const
gf2m	gf_div_nrr (gf2m a, gf2m b) const
gf2m	gf_div_rnn (gf2m x, gf2m y) const
gf2m	gf_div_rnr (gf2m x, gf2m b) const
gf2m	gf_div_zzr (gf2m x, gf2m b) const
gf2m	gf_exp (gf2m i) const
gf2m	gf_inv (gf2m x) const
gf2m	gf_inv_rn (gf2m x) const
gf2m	gf_l_from_n (gf2m x) const
gf2m	gf_log (gf2m i) const
gf2m	gf_mul (gf2m x, gf2m y) const
gf2m	gf_mul_fast (gf2m x, gf2m y) const
gf2m	gf_mul_lll (gf2m a, gf2m b) const
gf2m	gf_mul_lnn (gf2m x, gf2m y) const
gf2m	gf_mul_nnr (gf2m y, gf2m a) const
gf2m	gf_mul_nrn (gf2m a, gf2m y) const
gf2m	gf_mul_nrr (gf2m a, gf2m b) const
gf2m	gf_mul_rnn (gf2m x, gf2m y) const
gf2m	gf_mul_rnr (gf2m y, gf2m a) const
gf2m	gf_mul_rrn (gf2m a, gf2m y) const
gf2m	gf_mul_rrr (gf2m a, gf2m b) const
gf2m	gf_mul_zrz (gf2m a, gf2m y) const
gf2m	gf_mul_zzr (gf2m a, gf2m y) const
gf2m	gf_ord () const
gf2m	gf_sqrt (gf2m x) const
gf2m	gf_square (gf2m x) const
gf2m	gf_square_ln (gf2m x) const
gf2m	gf_square_rr (gf2m a) const
gf2m	square_rr (gf2m x) const

Detailed Description

GF(2^m) field for m = [2...16]

Definition at line 25 of file gf2m_small_m.h.

Constructor & Destructor Documentation

GF2m_Field()

Botan::GF2m_Field::GF2m_Field ( size_t extdeg )

explicit

Definition at line 108 of file gf2m_small_m.cpp.

                                    :
      m_gf_extension_degree(extdeg),
      m_gf_multiplicative_order((1 << extdeg) - 1),
      m_gf_log_table(log_table(m_gf_extension_degree)),
      m_gf_exp_table(exp_table(m_gf_extension_degree)) {}

Member Function Documentation

get_cardinality()

gf2m Botan::GF2m_Field::get_cardinality ( ) const

inline

Definition at line 105 of file gf2m_small_m.h.

{ return static_cast<gf2m>(1 << get_extension_degree()); }

References get_extension_degree().

get_extension_degree()

size_t Botan::GF2m_Field::get_extension_degree ( ) const

inline

Definition at line 103 of file gf2m_small_m.h.

{ return m_gf_extension_degree; }

Referenced by get_cardinality(), and gf_sqrt().

gf_div()

gf2m Botan::GF2m_Field::gf_div	(	gf2m	x,
		gf2m	y ) const

Definition at line 114 of file gf2m_small_m.cpp.

                                            {
   const int32_t sub_res = static_cast<int32_t>(gf_log(x) - static_cast<int32_t>(gf_log(y)));
   const gf2m modq_res = _gf_modq_1(sub_res);
   const gf2m div = gf_exp(modq_res);
   return (~CT::Mask<gf2m>::is_zero(x)).if_set_return(div);
}

References gf_exp(), gf_log(), and Botan::CT::Mask< T >::is_zero().

gf_div_nrr()

gf2m Botan::GF2m_Field::gf_div_nrr ( gf2m a, gf2m b ) const

inline

Definition at line 81 of file gf2m_small_m.h.

{ return gf_exp(_gf_modq_1(a - b)); }

References gf_exp().

gf_div_rnn()

gf2m Botan::GF2m_Field::gf_div_rnn ( gf2m x, gf2m y ) const

inline

Definition at line 77 of file gf2m_small_m.h.

{ return _gf_modq_1(gf_log(x) - gf_log(y)); }

References gf_log().

gf_div_rnr()

gf2m Botan::GF2m_Field::gf_div_rnr ( gf2m x, gf2m b ) const

inline

Definition at line 79 of file gf2m_small_m.h.

{ return _gf_modq_1(gf_log(x) - b); }

References gf_log().

gf_div_zzr()

gf2m Botan::GF2m_Field::gf_div_zzr ( gf2m x, gf2m b ) const

inline

Definition at line 83 of file gf2m_small_m.h.

{ return ((x != 0) ? gf_exp(_gf_modq_1(gf_log(x) - b)) : 0); }

References gf_exp(), and gf_log().

gf_exp()

gf2m Botan::GF2m_Field::gf_exp ( gf2m i ) const

inline

Definition at line 97 of file gf2m_small_m.h.

{ return m_gf_exp_table.at(i); /* alpha^i */ }

Referenced by gf_div(), gf_div_nrr(), gf_div_zzr(), gf_inv(), gf_mul_fast(), gf_mul_nrn(), gf_mul_nrr(), gf_sqrt(), and gf_square().

gf_inv()

gf2m Botan::GF2m_Field::gf_inv ( gf2m x ) const

inline

Definition at line 85 of file gf2m_small_m.h.

{ return gf_exp(gf_ord() - gf_log(x)); }

References gf_exp(), gf_log(), and gf_ord().

gf_inv_rn()

gf2m Botan::GF2m_Field::gf_inv_rn ( gf2m x ) const

inline

Definition at line 87 of file gf2m_small_m.h.

{ return (gf_ord() - gf_log(x)); }

References gf_log(), and gf_ord().

gf_l_from_n()

gf2m Botan::GF2m_Field::gf_l_from_n ( gf2m x ) const

inline

Definition at line 93 of file gf2m_small_m.h.

{ return gf_log(x); }

References gf_log().

gf_log()

gf2m Botan::GF2m_Field::gf_log ( gf2m i ) const

inline

Definition at line 99 of file gf2m_small_m.h.

{ return m_gf_log_table.at(i); /* return i when x=alpha^i */ }

Referenced by gf_div(), gf_div_rnn(), gf_div_rnr(), gf_div_zzr(), gf_inv(), gf_inv_rn(), gf_l_from_n(), gf_mul_fast(), gf_mul_lnn(), gf_mul_nrn(), gf_mul_rrn(), gf_sqrt(), gf_square(), and gf_square_ln().

gf_mul()

gf2m Botan::GF2m_Field::gf_mul ( gf2m x, gf2m y ) const

inline

Definition at line 29 of file gf2m_small_m.h.

{ return ((x != 0) ? gf_mul_fast(x, y) : 0); }

References gf_mul_fast().

gf_mul_fast()

gf2m Botan::GF2m_Field::gf_mul_fast ( gf2m x, gf2m y ) const

inline

Definition at line 35 of file gf2m_small_m.h.

{ return ((y != 0) ? gf_exp(_gf_modq_1(gf_log(x) + gf_log(y))) : 0); }

References gf_exp(), and gf_log().

Referenced by gf_mul().

gf_mul_lll()

gf2m Botan::GF2m_Field::gf_mul_lll ( gf2m a, gf2m b ) const

inline

Definition at line 45 of file gf2m_small_m.h.

{ return (a + b); }

Referenced by gf_mul_rrn(), and gf_mul_rrr().

gf_mul_lnn()

gf2m Botan::GF2m_Field::gf_mul_lnn ( gf2m x, gf2m y ) const

inline

Definition at line 55 of file gf2m_small_m.h.

{ return (gf_log(x) + gf_log(y)); }

References gf_log().

Referenced by gf_mul_rnn().

gf_mul_nnr()

gf2m Botan::GF2m_Field::gf_mul_nnr ( gf2m y, gf2m a ) const

inline

non-zero operand

Definition at line 71 of file gf2m_small_m.h.

{ return gf_mul_nrn(a, y); }

References gf_mul_nrn().

gf_mul_nrn()

gf2m Botan::GF2m_Field::gf_mul_nrn ( gf2m a, gf2m y ) const

inline

Definition at line 59 of file gf2m_small_m.h.

{ return gf_exp(_gf_modq_1((a) + gf_log(y))); }

References gf_exp(), and gf_log().

Referenced by gf_mul_nnr(), and gf_mul_zrz().

gf_mul_nrr()

gf2m Botan::GF2m_Field::gf_mul_nrr ( gf2m a, gf2m b ) const

inline

Definition at line 49 of file gf2m_small_m.h.

{ return (gf_exp(gf_mul_rrr(a, b))); }

References gf_exp(), and gf_mul_rrr().

gf_mul_rnn()

gf2m Botan::GF2m_Field::gf_mul_rnn ( gf2m x, gf2m y ) const

inline

Definition at line 57 of file gf2m_small_m.h.

{ return _gf_modq_1(gf_mul_lnn(x, y)); }

References gf_mul_lnn().

gf_mul_rnr()

gf2m Botan::GF2m_Field::gf_mul_rnr ( gf2m y, gf2m a ) const

inline

Definition at line 53 of file gf2m_small_m.h.

{ return gf_mul_rrn(a, y); }

References gf_mul_rrn().

gf_mul_rrn()

gf2m Botan::GF2m_Field::gf_mul_rrn ( gf2m a, gf2m y ) const

inline

Definition at line 51 of file gf2m_small_m.h.

{ return _gf_modq_1(gf_mul_lll(a, gf_log(y))); }

References gf_log(), and gf_mul_lll().

Referenced by gf_mul_rnr().

gf_mul_rrr()

gf2m Botan::GF2m_Field::gf_mul_rrr ( gf2m a, gf2m b ) const

inline

Definition at line 47 of file gf2m_small_m.h.

{ return (_gf_modq_1(gf_mul_lll(a, b))); }

References gf_mul_lll().

Referenced by gf_mul_nrr().

gf_mul_zrz()

gf2m Botan::GF2m_Field::gf_mul_zrz ( gf2m a, gf2m y ) const

inline

zero operand allowed

Definition at line 64 of file gf2m_small_m.h.

{ return ((y == 0) ? 0 : gf_mul_nrn(a, y)); }

References gf_mul_nrn().

Referenced by gf_mul_zzr().

gf_mul_zzr()

gf2m Botan::GF2m_Field::gf_mul_zzr ( gf2m a, gf2m y ) const

inline

Definition at line 66 of file gf2m_small_m.h.

{ return gf_mul_zrz(y, a); }

References gf_mul_zrz().

gf_ord()

gf2m Botan::GF2m_Field::gf_ord ( ) const

inline

Definition at line 101 of file gf2m_small_m.h.

{ return m_gf_multiplicative_order; }

Referenced by gf_inv(), and gf_inv_rn().

gf_sqrt()

gf2m Botan::GF2m_Field::gf_sqrt ( gf2m x ) const

inline

Definition at line 73 of file gf2m_small_m.h.

                                 {
         return ((x != 0) ? gf_exp(_gf_modq_1(gf_log(x) << (get_extension_degree() - 1))) : 0);
      }

References get_extension_degree(), gf_exp(), and gf_log().

gf_square()

gf2m Botan::GF2m_Field::gf_square ( gf2m x ) const

inline

Definition at line 31 of file gf2m_small_m.h.

{ return ((x != 0) ? gf_exp(_gf_modq_1(gf_log(x) << 1)) : 0); }

References gf_exp(), and gf_log().

gf_square_ln()

gf2m Botan::GF2m_Field::gf_square_ln ( gf2m x ) const

inline

Definition at line 89 of file gf2m_small_m.h.

{ return gf_log(x) << 1; }

References gf_log().

gf_square_rr()

gf2m Botan::GF2m_Field::gf_square_rr ( gf2m a ) const

inline

Definition at line 91 of file gf2m_small_m.h.

{ return a << 1; }

square_rr()

gf2m Botan::GF2m_Field::square_rr ( gf2m x ) const

inline

Definition at line 33 of file gf2m_small_m.h.

{ return _gf_modq_1(x << 1); }

---

The documentation for this class was generated from the following files:

• src/lib/pubkey/mce/gf2m_small_m.h
• src/lib/pubkey/mce/gf2m_small_m.cpp