Best Known (137−28, 137, s)-Nets in Base 2
(137−28, 137, 260)-Net over F2 — Constructive and digital
Digital (109, 137, 260)-net over F2, using
- 21 times duplication [i] based on digital (108, 136, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 34, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 34, 65)-net over F16, using
(137−28, 137, 364)-Net over F2 — Digital
Digital (109, 137, 364)-net over F2, using
(137−28, 137, 5315)-Net in Base 2 — Upper bound on s
There is no (109, 137, 5316)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 174237 782582 227875 982936 761172 981582 071984 > 2137 [i]