Best Known (26, 26+43, s)-Nets in Base 2
(26, 26+43, 21)-Net over F2 — Constructive and digital
Digital (26, 69, 21)-net over F2, using
- t-expansion [i] based on digital (21, 69, 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
(26, 26+43, 24)-Net over F2 — Digital
Digital (26, 69, 24)-net over F2, using
- t-expansion [i] based on digital (25, 69, 24)-net over F2, using
- net from sequence [i] based on digital (25, 23)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 25 and N(F) ≥ 24, using
- net from sequence [i] based on digital (25, 23)-sequence over F2, using
(26, 26+43, 55)-Net in Base 2 — Upper bound on s
There is no (26, 69, 56)-net in base 2, because
- 1 times m-reduction [i] would yield (26, 68, 56)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 349 917006 525938 800901 > 268 [i]