Best Known (14, 72, s)-Nets in Base 81
(14, 72, 224)-Net over F81 — Constructive and digital
Digital (14, 72, 224)-net over F81, using
- t-expansion [i] based on digital (13, 72, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(14, 72, 298)-Net over F81 — Digital
Digital (14, 72, 298)-net over F81, using
- t-expansion [i] based on digital (12, 72, 298)-net over F81, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 12 and N(F) ≥ 298, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
(14, 72, 7971)-Net in Base 81 — Upper bound on s
There is no (14, 72, 7972)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 257741 543721 210626 237447 352802 250793 105458 337445 133266 924309 808389 115139 689535 407879 555380 447975 413067 851229 639029 083711 981811 366374 642241 > 8172 [i]