Best Known (74−65, 74, s)-Nets in Base 128
(74−65, 74, 288)-Net over F128 — Constructive and digital
Digital (9, 74, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
(74−65, 74, 6443)-Net in Base 128 — Upper bound on s
There is no (9, 74, 6444)-net in base 128, because
- 1 times m-reduction [i] would yield (9, 73, 6444)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 6736 569474 210920 956098 219712 252934 396778 286067 176999 823575 415469 038206 128185 677332 569719 141889 999123 498355 740078 730786 546864 863965 551860 284208 223275 437941 > 12873 [i]