Best Known (72−58, 72, s)-Nets in Base 32
(72−58, 72, 120)-Net over F32 — Constructive and digital
Digital (14, 72, 120)-net over F32, using
- t-expansion [i] based on digital (11, 72, 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
(72−58, 72, 146)-Net over F32 — Digital
Digital (14, 72, 146)-net over F32, using
- net from sequence [i] based on digital (14, 145)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 14 and N(F) ≥ 146, using
(72−58, 72, 2039)-Net in Base 32 — Upper bound on s
There is no (14, 72, 2040)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 365665 447680 845550 871926 059836 378172 664290 824947 441610 777460 016476 180273 584865 004234 261532 429448 781707 521428 > 3272 [i]