Best Known (141−87, 141, s)-Nets in Base 2
(141−87, 141, 42)-Net over F2 — Constructive and digital
Digital (54, 141, 42)-net over F2, using
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
(141−87, 141, 106)-Net in Base 2 — Upper bound on s
There is no (54, 141, 107)-net in base 2, because
- 1 times m-reduction [i] would yield (54, 140, 107)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 1 437985 435266 378533 579102 559660 250263 949530 > 2140 [i]