Best Known (28, 95, s)-Nets in Base 8
(28, 95, 65)-Net over F8 — Constructive and digital
Digital (28, 95, 65)-net over F8, using
- t-expansion [i] based on digital (14, 95, 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
(28, 95, 97)-Net over F8 — Digital
Digital (28, 95, 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
(28, 95, 682)-Net in Base 8 — Upper bound on s
There is no (28, 95, 683)-net in base 8, because
- 1 times m-reduction [i] would yield (28, 94, 683)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 8 125824 619986 990240 780256 793676 249026 341216 731593 186082 578130 609964 668593 652111 404670 > 894 [i]