Best Known (119, 219, s)-Nets in Base 2
(119, 219, 59)-Net over F2 — Constructive and digital
Digital (119, 219, 59)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (15, 65, 17)-net over F2, using
- net from sequence [i] based on digital (15, 16)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- net from sequence [i] based on digital (15, 16)-sequence over F2, using
- digital (54, 154, 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
- digital (15, 65, 17)-net over F2, using
(119, 219, 74)-Net over F2 — Digital
Digital (119, 219, 74)-net over F2, using
(119, 219, 264)-Net in Base 2 — Upper bound on s
There is no (119, 219, 265)-net in base 2, because
- extracting embedded orthogonal array [i] would yield OA(2219, 265, S2, 100), but
- the linear programming bound shows that M ≥ 34611 787607 220460 636945 727454 704013 712621 341255 350789 664944 281364 723030 110196 727808 / 38195 169510 583125 > 2219 [i]