Best Known (87, 141, s)-Nets in Base 2
(87, 141, 66)-Net over F2 — Constructive and digital
Digital (87, 141, 66)-net over F2, using
- 3 times m-reduction [i] based on digital (87, 144, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 72, 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, 72, 33)-net over F4, using
(87, 141, 76)-Net over F2 — Digital
Digital (87, 141, 76)-net over F2, using
(87, 141, 369)-Net in Base 2 — Upper bound on s
There is no (87, 141, 370)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 2 880914 416248 048749 326279 445240 589952 688736 > 2141 [i]