Best Known (108, 136, s)-Nets in Base 2
(108, 136, 260)-Net over F2 — Constructive and digital
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
(108, 136, 354)-Net over F2 — Digital
Digital (108, 136, 354)-net over F2, using
(108, 136, 5058)-Net in Base 2 — Upper bound on s
There is no (108, 136, 5059)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 87305 268108 791689 742962 023096 581053 567056 > 2136 [i]