Best Known (97, 97+34, s)-Nets in Base 5
(97, 97+34, 408)-Net over F5 — Constructive and digital
Digital (97, 131, 408)-net over F5, using
- 3 times m-reduction [i] based on digital (97, 134, 408)-net over F5, using
- trace code for nets [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
- trace code for nets [i] based on digital (30, 67, 204)-net over F25, using
(97, 97+34, 1975)-Net over F5 — Digital
Digital (97, 131, 1975)-net over F5, using
(97, 97+34, 436569)-Net in Base 5 — Upper bound on s
There is no (97, 131, 436570)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 36 734540 009744 578352 129300 588543 943750 640502 534994 397514 059237 608448 564110 485605 704426 577769 > 5131 [i]