Best Known (18, 92, s)-Nets in Base 25
(18, 92, 126)-Net over F25 — Constructive and digital
Digital (18, 92, 126)-net over F25, using
- t-expansion [i] based on digital (10, 92, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(18, 92, 153)-Net over F25 — Digital
Digital (18, 92, 153)-net over F25, using
- net from sequence [i] based on digital (18, 152)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 18 and N(F) ≥ 153, using
(18, 92, 1807)-Net in Base 25 — Upper bound on s
There is no (18, 92, 1808)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 414 721287 845995 966631 419085 419336 256905 763666 422827 067569 783393 063759 548394 827144 034623 697500 436075 752397 448624 038156 491897 295745 > 2592 [i]