Best Known (87−64, 87, s)-Nets in Base 25
(87−64, 87, 148)-Net over F25 — Constructive and digital
Digital (23, 87, 148)-net over F25, using
- t-expansion [i] based on digital (19, 87, 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
(87−64, 87, 176)-Net over F25 — Digital
Digital (23, 87, 176)-net over F25, using
- net from sequence [i] based on digital (23, 175)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 23 and N(F) ≥ 176, using
(87−64, 87, 3350)-Net in Base 25 — Upper bound on s
There is no (23, 87, 3351)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 41 853172 302045 971520 775826 867052 983327 046576 181490 090788 731186 284184 676489 906235 224779 182258 607247 060971 156248 421843 105025 > 2587 [i]