Best Known (23, 23+82, s)-Nets in Base 27
(23, 23+82, 114)-Net over F27 — Constructive and digital
Digital (23, 105, 114)-net over F27, using
- net from sequence [i] based on digital (23, 113)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 23 and N(F) ≥ 114, using
(23, 23+82, 163)-Net over F27 — Digital
Digital (23, 105, 163)-net over F27, using
- t-expansion [i] based on digital (21, 105, 163)-net over F27, using
- net from sequence [i] based on digital (21, 162)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 21 and N(F) ≥ 163, using
- net from sequence [i] based on digital (21, 162)-sequence over F27, using
(23, 23+82, 2853)-Net in Base 27 — Upper bound on s
There is no (23, 105, 2854)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 1 981444 872049 059043 444757 059823 149601 801069 140808 448351 426314 854877 539355 059056 612807 321399 686152 074003 151570 674169 408126 098276 241412 970720 776814 083085 > 27105 [i]