Best Known (18, 18+60, s)-Nets in Base 32
(18, 18+60, 120)-Net over F32 — Constructive and digital
Digital (18, 78, 120)-net over F32, using
- t-expansion [i] based on digital (11, 78, 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
(18, 18+60, 128)-Net in Base 32 — Constructive
(18, 78, 128)-net in base 32, using
- base change [i] based on digital (5, 65, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
(18, 18+60, 161)-Net over F32 — Digital
Digital (18, 78, 161)-net over F32, using
- net from sequence [i] based on digital (18, 160)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 18 and N(F) ≥ 161, using
(18, 18+60, 3167)-Net in Base 32 — Upper bound on s
There is no (18, 78, 3168)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2535 932122 621429 684075 472767 557231 104190 225211 842439 260366 798003 417293 059029 866113 008506 339002 564616 208169 638590 934395 > 3278 [i]