Best Known (6, 6+50, s)-Nets in Base 128
(6, 6+50, 216)-Net over F128 — Constructive and digital
Digital (6, 56, 216)-net over F128, using
- t-expansion [i] based on digital (5, 56, 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
(6, 6+50, 243)-Net over F128 — Digital
Digital (6, 56, 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
(6, 6+50, 4194)-Net in Base 128 — Upper bound on s
There is no (6, 56, 4195)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 10098 357843 142984 498468 242545 143088 180732 586363 887612 601698 195339 294455 442999 431143 780146 276886 772288 766630 521803 982072 > 12856 [i]