Best Known (32, 76, s)-Nets in Base 8
(32, 76, 65)-Net over F8 — Constructive and digital
Digital (32, 76, 65)-net over F8, using
- t-expansion [i] based on digital (14, 76, 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
(32, 76, 97)-Net over F8 — Digital
Digital (32, 76, 97)-net over F8, using
- t-expansion [i] based on digital (28, 76, 97)-net over F8, using
- net from sequence [i] based on digital (28, 96)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 28 and N(F) ≥ 97, using
- net from sequence [i] based on digital (28, 96)-sequence over F8, using
(32, 76, 1690)-Net in Base 8 — Upper bound on s
There is no (32, 76, 1691)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 433 646243 670293 549326 928392 803003 686888 869424 425853 172003 841981 639542 > 876 [i]