Best Known (147, 147+100, s)-Nets in Base 2
(147, 147+100, 75)-Net over F2 — Constructive and digital
Digital (147, 247, 75)-net over F2, using
- 8 times m-reduction [i] based on digital (147, 255, 75)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (39, 93, 33)-net over F2, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- digital (54, 162, 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 (39, 93, 33)-net over F2, using
- (u, u+v)-construction [i] based on
(147, 147+100, 108)-Net over F2 — Digital
Digital (147, 247, 108)-net over F2, using
(147, 147+100, 527)-Net in Base 2 — Upper bound on s
There is no (147, 247, 528)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 234 969475 403361 814431 395367 109538 691049 021155 740615 012270 823306 995190 152928 > 2247 [i]