Best Known (67−46, 67, s)-Nets in Base 32
(67−46, 67, 120)-Net over F32 — Constructive and digital
Digital (21, 67, 120)-net over F32, using
- t-expansion [i] based on digital (11, 67, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
(67−46, 67, 177)-Net in Base 32 — Constructive
(21, 67, 177)-net in base 32, using
- 17 times m-reduction [i] based on (21, 84, 177)-net in base 32, using
- base change [i] based on digital (7, 70, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- base change [i] based on digital (7, 70, 177)-net over F64, using
(67−46, 67, 185)-Net over F32 — Digital
Digital (21, 67, 185)-net over F32, using
- net from sequence [i] based on digital (21, 184)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 21 and N(F) ≥ 185, using
(67−46, 67, 209)-Net in Base 32
(21, 67, 209)-net in base 32, using
- 5 times m-reduction [i] based on (21, 72, 209)-net in base 32, using
- base change [i] based on digital (9, 60, 209)-net over F64, using
- net from sequence [i] based on digital (9, 208)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 9 and N(F) ≥ 209, using
- net from sequence [i] based on digital (9, 208)-sequence over F64, using
- base change [i] based on digital (9, 60, 209)-net over F64, using
(67−46, 67, 7361)-Net in Base 32 — Upper bound on s
There is no (21, 67, 7362)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 70087 638692 927524 996539 275528 822564 551197 650175 657516 528532 491351 067983 086110 157808 506579 034205 067360 > 3267 [i]