Best Known (95−74, 95, s)-Nets in Base 16
(95−74, 95, 65)-Net over F16 — Constructive and digital
Digital (21, 95, 65)-net over F16, using
- t-expansion [i] based on digital (6, 95, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(95−74, 95, 129)-Net over F16 — Digital
Digital (21, 95, 129)-net over F16, using
- t-expansion [i] based on digital (19, 95, 129)-net over F16, using
- net from sequence [i] based on digital (19, 128)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 19 and N(F) ≥ 129, using
- net from sequence [i] based on digital (19, 128)-sequence over F16, using
(95−74, 95, 1185)-Net in Base 16 — Upper bound on s
There is no (21, 95, 1186)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 2 463543 575648 479063 926218 833270 482181 649234 469656 759459 460809 565170 830210 277257 031129 443101 289816 083559 862228 551456 > 1695 [i]