Best Known (24, 51, s)-Nets in Base 8
(24, 51, 65)-Net over F8 — Constructive and digital
Digital (24, 51, 65)-net over F8, using
- t-expansion [i] based on digital (14, 51, 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
(24, 51, 84)-Net over F8 — Digital
Digital (24, 51, 84)-net over F8, using
(24, 51, 2400)-Net in Base 8 — Upper bound on s
There is no (24, 51, 2401)-net in base 8, because
- 1 times m-reduction [i] would yield (24, 50, 2401)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 1430 601284 705790 503635 828032 748442 258160 469088 > 850 [i]