Best Known (58, 149, s)-Nets in Base 2
(58, 149, 42)-Net over F2 — Constructive and digital
Digital (58, 149, 42)-net over F2, using
- t-expansion [i] based on digital (54, 149, 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
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
(58, 149, 115)-Net in Base 2 — Upper bound on s
There is no (58, 149, 116)-net in base 2, because
- 1 times m-reduction [i] would yield (58, 148, 116)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 447 516097 334481 700218 435817 054553 462912 536212 > 2148 [i]