Best Known (32, 76, s)-Nets in Base 32
(32, 76, 162)-Net over F32 — Constructive and digital
Digital (32, 76, 162)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (3, 25, 64)-net over F32, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- digital (7, 51, 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 (3, 25, 64)-net over F32, using
(32, 76, 273)-Net over F32 — Digital
Digital (32, 76, 273)-net over F32, using
- t-expansion [i] based on digital (30, 76, 273)-net over F32, using
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
(32, 76, 288)-Net in Base 32 — Constructive
(32, 76, 288)-net in base 32, using
- t-expansion [i] based on (31, 76, 288)-net in base 32, using
- 1 times m-reduction [i] based on (31, 77, 288)-net in base 32, using
- base change [i] based on digital (9, 55, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- base change [i] based on digital (9, 55, 288)-net over F128, using
- 1 times m-reduction [i] based on (31, 77, 288)-net in base 32, using
(32, 76, 321)-Net in Base 32
(32, 76, 321)-net in base 32, using
- 4 times m-reduction [i] based on (32, 80, 321)-net in base 32, using
- base change [i] based on digital (2, 50, 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, 50, 321)-net over F256, using
(32, 76, 46237)-Net in Base 32 — Upper bound on s
There is no (32, 76, 46238)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 463119 568102 552743 829638 560849 309411 028642 151185 001013 194045 119608 778547 765482 733138 181702 103579 438469 090456 457452 > 3276 [i]