Best Known (177−141, 177, s)-Nets in Base 2
(177−141, 177, 24)-Net over F2 — Constructive and digital
Digital (36, 177, 24)-net over F2, using
- t-expansion [i] based on digital (33, 177, 24)-net over F2, using
- net from sequence [i] based on digital (33, 23)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 33 and N(F) ≥ 24, using
- net from sequence [i] based on digital (33, 23)-sequence over F2, using
(177−141, 177, 30)-Net over F2 — Digital
Digital (36, 177, 30)-net over F2, using
- net from sequence [i] based on digital (36, 29)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 36 and N(F) ≥ 30, using
(177−141, 177, 45)-Net in Base 2 — Upper bound on s
There is no (36, 177, 46)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(2177, 46, S2, 4, 141), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 13 792459 867792 999725 225123 244352 782652 568652 099652 419584 / 71 > 2177 [i]