Best Known (94, 94+166, s)-Nets in Base 2
(94, 94+166, 53)-Net over F2 — Constructive and digital
Digital (94, 260, 53)-net over F2, using
- t-expansion [i] based on digital (90, 260, 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]
- net from sequence [i] based on digital (90, 52)-sequence over F2, using
(94, 94+166, 60)-Net over F2 — Digital
Digital (94, 260, 60)-net over F2, using
- t-expansion [i] based on digital (92, 260, 60)-net over F2, using
- net from sequence [i] based on digital (92, 59)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 92 and N(F) ≥ 60, using
- net from sequence [i] based on digital (92, 59)-sequence over F2, using
(94, 94+166, 174)-Net in Base 2 — Upper bound on s
There is no (94, 260, 175)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 2 104504 333759 453176 614555 670925 494452 690267 891993 479807 053149 928602 188951 705000 > 2260 [i]