Best Known (104−80, 104, s)-Nets in Base 25
(104−80, 104, 148)-Net over F25 — Constructive and digital
Digital (24, 104, 148)-net over F25, using
- t-expansion [i] based on digital (19, 104, 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
(104−80, 104, 184)-Net over F25 — Digital
Digital (24, 104, 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
(104−80, 104, 2811)-Net in Base 25 — Upper bound on s
There is no (24, 104, 2812)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 24 404641 408891 838288 452813 127044 845643 578162 956700 134725 269373 590548 375858 095144 242224 556490 845389 739165 484189 216200 389050 145380 762053 520108 057345 > 25104 [i]