Best Known (5, 5+44, s)-Nets in Base 128
(5, 5+44, 216)-Net over F128 — Constructive and digital
Digital (5, 49, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
(5, 5+44, 227)-Net over F128 — Digital
Digital (5, 49, 227)-net over F128, using
- net from sequence [i] based on digital (5, 226)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 227, using
(5, 5+44, 3508)-Net in Base 128 — Upper bound on s
There is no (5, 49, 3509)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 18 028098 469118 410887 021134 695721 325751 923550 223467 621359 000557 557299 636637 310788 873708 918809 382827 901104 > 12849 [i]