Best Known (17, 76, s)-Nets in Base 8
(17, 76, 65)-Net over F8 — Constructive and digital
Digital (17, 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
(17, 76, 343)-Net in Base 8 — Upper bound on s
There is no (17, 76, 344)-net in base 8, because
- 1 times m-reduction [i] would yield (17, 75, 344)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 57 448601 486562 778314 988230 541819 816444 307226 077458 015628 532934 182472 > 875 [i]