Best Known (89, 137, s)-Nets in Base 2
(89, 137, 66)-Net over F2 — Constructive and digital
Digital (89, 137, 66)-net over F2, using
- 11 times m-reduction [i] based on digital (89, 148, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 74, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 74, 33)-net over F4, using
(89, 137, 91)-Net over F2 — Digital
Digital (89, 137, 91)-net over F2, using
(89, 137, 478)-Net in Base 2 — Upper bound on s
There is no (89, 137, 479)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 181413 039304 071006 873682 699379 268201 468307 > 2137 [i]