Best Known (128, 236, s)-Nets in Base 2
(128, 236, 62)-Net over F2 — Constructive and digital
Digital (128, 236, 62)-net over F2, using
- 2 times m-reduction [i] based on digital (128, 238, 62)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (19, 74, 20)-net over F2, using
- net from sequence [i] based on digital (19, 19)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- net from sequence [i] based on digital (19, 19)-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 (19, 74, 20)-net over F2, using
- (u, u+v)-construction [i] based on
(128, 236, 81)-Net over F2 — Digital
Digital (128, 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
(128, 236, 279)-Net in Base 2 — Upper bound on s
There is no (128, 236, 280)-net in base 2, because
- extracting embedded orthogonal array [i] would yield OA(2236, 280, S2, 108), but
- the linear programming bound shows that M ≥ 41504 278412 335844 454047 491725 650645 432186 567323 902384 277507 042637 995046 295745 131031 035904 / 340479 332843 203125 > 2236 [i]