Best Known (14, 14+40, s)-Nets in Base 32
(14, 14+40, 120)-Net over F32 — Constructive and digital
Digital (14, 54, 120)-net over F32, using
- t-expansion [i] based on digital (11, 54, 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
(14, 14+40, 128)-Net in Base 32 — Constructive
(14, 54, 128)-net in base 32, using
- base change [i] based on digital (5, 45, 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
(14, 14+40, 146)-Net over F32 — Digital
Digital (14, 54, 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
(14, 14+40, 3093)-Net in Base 32 — Upper bound on s
There is no (14, 54, 3094)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1905 149353 122280 080245 255483 735116 206162 942461 445878 738227 832726 186116 266703 645397 > 3254 [i]