Best Known (34, 107, s)-Nets in Base 8
(34, 107, 65)-Net over F8 — Constructive and digital
Digital (34, 107, 65)-net over F8, using
- t-expansion [i] based on digital (14, 107, 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
(34, 107, 98)-Net over F8 — Digital
Digital (34, 107, 98)-net over F8, using
- net from sequence [i] based on digital (34, 97)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 34 and N(F) ≥ 98, using
(34, 107, 908)-Net in Base 8 — Upper bound on s
There is no (34, 107, 909)-net in base 8, because
- 1 times m-reduction [i] would yield (34, 106, 909)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 553576 561686 166163 653814 362975 439311 692496 763216 133535 015529 408916 932243 907125 699937 782333 551020 > 8106 [i]