Best Known (86−62, 86, s)-Nets in Base 25
(86−62, 86, 148)-Net over F25 — Constructive and digital
Digital (24, 86, 148)-net over F25, using
- t-expansion [i] based on digital (19, 86, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(86−62, 86, 184)-Net over F25 — Digital
Digital (24, 86, 184)-net over F25, using
- net from sequence [i] based on digital (24, 183)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 24 and N(F) ≥ 184, using
(86−62, 86, 3891)-Net in Base 25 — Upper bound on s
There is no (24, 86, 3892)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 671358 801315 829897 923434 122647 669417 421804 010030 955450 467470 448839 179693 068762 592432 884760 624092 950545 113325 465180 154785 > 2586 [i]