Best Known (128−74, 128, s)-Nets in Base 2
(128−74, 128, 42)-Net over F2 — Constructive and digital
Digital (54, 128, 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
(128−74, 128, 113)-Net in Base 2 — Upper bound on s
There is no (54, 128, 114)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 388 238631 161236 490182 199311 745569 253412 > 2128 [i]