Best Known (19, 41, s)-Nets in Base 32
(19, 41, 142)-Net over F32 — Constructive and digital
Digital (19, 41, 142)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (1, 12, 44)-net over F32, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- digital (7, 29, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- digital (1, 12, 44)-net over F32, using
(19, 41, 254)-Net over F32 — Digital
Digital (19, 41, 254)-net over F32, using
(19, 41, 260)-Net in Base 32 — Constructive
(19, 41, 260)-net in base 32, using
- 1 times m-reduction [i] based on (19, 42, 260)-net in base 32, using
- base change [i] based on (12, 35, 260)-net in base 64, using
- 1 times m-reduction [i] based on (12, 36, 260)-net in base 64, using
- base change [i] based on digital (3, 27, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- base change [i] based on digital (3, 27, 260)-net over F256, using
- 1 times m-reduction [i] based on (12, 36, 260)-net in base 64, using
- base change [i] based on (12, 35, 260)-net in base 64, using
(19, 41, 321)-Net in Base 32
(19, 41, 321)-net in base 32, using
- t-expansion [i] based on (18, 41, 321)-net in base 32, using
- 1 times m-reduction [i] based on (18, 42, 321)-net in base 32, using
- base change [i] based on (11, 35, 321)-net in base 64, using
- 1 times m-reduction [i] based on (11, 36, 321)-net in base 64, using
- base change [i] based on digital (2, 27, 321)-net over F256, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- base change [i] based on digital (2, 27, 321)-net over F256, using
- 1 times m-reduction [i] based on (11, 36, 321)-net in base 64, using
- base change [i] based on (11, 35, 321)-net in base 64, using
- 1 times m-reduction [i] based on (18, 42, 321)-net in base 32, using
(19, 41, 64523)-Net in Base 32 — Upper bound on s
There is no (19, 41, 64524)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 51 422532 356465 335704 230713 309400 716723 077376 654671 731729 140735 > 3241 [i]