Best Known (71−48, 71, s)-Nets in Base 25
(71−48, 71, 148)-Net over F25 — Constructive and digital
Digital (23, 71, 148)-net over F25, using
- t-expansion [i] based on digital (19, 71, 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
(71−48, 71, 176)-Net over F25 — Digital
Digital (23, 71, 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
(71−48, 71, 5568)-Net in Base 25 — Upper bound on s
There is no (23, 71, 5569)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1796 281556 046328 750128 112639 585214 157946 042070 140228 093644 004481 670382 255609 411649 372292 357064 789825 > 2571 [i]