Best Known (36, 112, s)-Nets in Base 8
(36, 112, 65)-Net over F8 — Constructive and digital
Digital (36, 112, 65)-net over F8, using
- t-expansion [i] based on digital (14, 112, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(36, 112, 112)-Net over F8 — Digital
Digital (36, 112, 112)-net over F8, using
- t-expansion [i] based on digital (35, 112, 112)-net over F8, using
- net from sequence [i] based on digital (35, 111)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 35 and N(F) ≥ 112, using
- net from sequence [i] based on digital (35, 111)-sequence over F8, using
(36, 112, 961)-Net in Base 8 — Upper bound on s
There is no (36, 112, 962)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 144009 755298 772438 051885 622552 316597 032819 462497 054293 209053 066430 280319 158534 835009 112624 393609 189088 > 8112 [i]