Best Known (17, 45, s)-Nets in Base 32
(17, 45, 120)-Net over F32 — Constructive and digital
Digital (17, 45, 120)-net over F32, using
- t-expansion [i] based on digital (11, 45, 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
(17, 45, 158)-Net over F32 — Digital
Digital (17, 45, 158)-net over F32, using
- t-expansion [i] based on digital (15, 45, 158)-net over F32, using
- net from sequence [i] based on digital (15, 157)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 15 and N(F) ≥ 158, using
- net from sequence [i] based on digital (15, 157)-sequence over F32, using
(17, 45, 192)-Net in Base 32 — Constructive
(17, 45, 192)-net in base 32, using
- 4 times m-reduction [i] based on (17, 49, 192)-net in base 32, using
- base change [i] based on digital (3, 35, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- base change [i] based on digital (3, 35, 192)-net over F128, using
(17, 45, 209)-Net in Base 32
(17, 45, 209)-net in base 32, using
- 3 times m-reduction [i] based on (17, 48, 209)-net in base 32, using
- base change [i] based on digital (9, 40, 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, 40, 209)-net over F64, using
(17, 45, 13423)-Net in Base 32 — Upper bound on s
There is no (17, 45, 13424)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 53 969695 598130 503091 358039 136272 925424 389092 149037 311932 168806 697667 > 3245 [i]