Best Known (35, 154, s)-Nets in Base 8
(35, 154, 65)-Net over F8 — Constructive and digital
Digital (35, 154, 65)-net over F8, using
- t-expansion [i] based on digital (14, 154, 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
(35, 154, 112)-Net over F8 — Digital
Digital (35, 154, 112)-net over F8, using
- net from sequence [i] based on digital (35, 111)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 35 and N(F) ≥ 112, using
(35, 154, 679)-Net in Base 8 — Upper bound on s
There is no (35, 154, 680)-net in base 8, because
- 1 times m-reduction [i] would yield (35, 153, 680)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 1 545271 071171 207486 021211 210571 840702 953267 572029 962524 972514 200740 627943 137462 941669 197870 515747 401612 223418 786863 893788 838915 202065 385616 > 8153 [i]