Best Known (34−22, 34, s)-Nets in Base 128
(34−22, 34, 288)-Net over F128 — Constructive and digital
Digital (12, 34, 288)-net over F128, using
- t-expansion [i] based on digital (9, 34, 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
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
(34−22, 34, 321)-Net over F128 — Digital
Digital (12, 34, 321)-net over F128, using
- net from sequence [i] based on digital (12, 320)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 12 and N(F) ≥ 321, using
(34−22, 34, 126004)-Net in Base 128 — Upper bound on s
There is no (12, 34, 126005)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 441716 499422 463024 882488 755688 344365 531378 304452 294855 607071 151009 878584 > 12834 [i]