Best Known (88−70, 88, s)-Nets in Base 32
(88−70, 88, 120)-Net over F32 — Constructive and digital
Digital (18, 88, 120)-net over F32, using
- t-expansion [i] based on digital (11, 88, 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
(88−70, 88, 161)-Net over F32 — Digital
Digital (18, 88, 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
(88−70, 88, 2712)-Net in Base 32 — Upper bound on s
There is no (18, 88, 2713)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 852726 669912 551043 126360 286413 319761 372432 433799 403354 522559 153008 245118 846058 093299 498763 669519 459415 767333 234214 478468 893441 238880 > 3288 [i]