Best Known (130, 236, s)-Nets in Base 2
(130, 236, 63)-Net over F2 — Constructive and digital
Digital (130, 236, 63)-net over F2, using
- 4 times m-reduction [i] based on digital (130, 240, 63)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (21, 76, 21)-net over F2, using
- net from sequence [i] based on digital (21, 20)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- net from sequence [i] based on digital (21, 20)-sequence over F2, using
- digital (54, 164, 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 (21, 76, 21)-net over F2, using
- (u, u+v)-construction [i] based on
(130, 236, 81)-Net over F2 — Digital
Digital (130, 236, 81)-net over F2, using
- t-expansion [i] based on digital (126, 236, 81)-net over F2, using
- net from sequence [i] based on digital (126, 80)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 126 and N(F) ≥ 81, using
- net from sequence [i] based on digital (126, 80)-sequence over F2, using
(130, 236, 293)-Net in Base 2 — Upper bound on s
There is no (130, 236, 294)-net in base 2, because
- extracting embedded orthogonal array [i] would yield OA(2236, 294, S2, 106), but
- the linear programming bound shows that M ≥ 355 957995 952588 693183 395284 979830 322852 701354 338332 589389 465361 179247 273153 986172 267263 950848 / 2810 579332 872546 572337 > 2236 [i]