Best Known (67−34, 67, s)-Nets in Base 25
(67−34, 67, 204)-Net over F25 — Constructive and digital
Digital (33, 67, 204)-net over F25, using
- t-expansion [i] based on digital (30, 67, 204)-net over F25, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 30 and N(F) ≥ 204, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
(67−34, 67, 393)-Net over F25 — Digital
Digital (33, 67, 393)-net over F25, using
(67−34, 67, 96654)-Net in Base 25 — Upper bound on s
There is no (33, 67, 96655)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4591 993503 100725 457630 711126 568859 269693 673714 306233 237601 993381 340624 241729 885833 369025 522665 > 2567 [i]