Best Known (204−114, 204, s)-Nets in Base 2
(204−114, 204, 53)-Net over F2 — Constructive and digital
Digital (90, 204, 53)-net over F2, using
- net from sequence [i] based on digital (90, 52)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 4 places with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
(204−114, 204, 57)-Net over F2 — Digital
Digital (90, 204, 57)-net over F2, using
- t-expansion [i] based on digital (83, 204, 57)-net over F2, using
- net from sequence [i] based on digital (83, 56)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 83 and N(F) ≥ 57, using
- net from sequence [i] based on digital (83, 56)-sequence over F2, using
(204−114, 204, 189)-Net in Base 2 — Upper bound on s
There is no (90, 204, 190)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 28 436313 538423 152402 309043 538935 315468 577948 449579 124898 628537 > 2204 [i]