Best Known (35−21, 35, s)-Nets in Base 8
(35−21, 35, 65)-Net over F8 — Constructive and digital
Digital (14, 35, 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
(35−21, 35, 755)-Net in Base 8 — Upper bound on s
There is no (14, 35, 756)-net in base 8, because
- 1 times m-reduction [i] would yield (14, 34, 756)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 5 131855 082043 373247 616126 904726 > 834 [i]