Best Known (50−44, 50, s)-Nets in Base 128
(50−44, 50, 216)-Net over F128 — Constructive and digital
Digital (6, 50, 216)-net over F128, using
- t-expansion [i] based on digital (5, 50, 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
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
(50−44, 50, 243)-Net over F128 — Digital
Digital (6, 50, 243)-net over F128, using
- net from sequence [i] based on digital (6, 242)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 6 and N(F) ≥ 243, using
(50−44, 50, 4376)-Net in Base 128 — Upper bound on s
There is no (6, 50, 4377)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 2301 751556 453070 208189 972988 859153 599792 116766 199605 744543 190432 566915 886477 265282 796493 029390 983838 680916 > 12850 [i]