Best Known (19, 104, s)-Nets in Base 25
(19, 104, 148)-Net over F25 — Constructive and digital
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
(19, 104, 162)-Net over F25 — Digital
Digital (19, 104, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(19, 104, 1822)-Net in Base 25 — Upper bound on s
There is no (19, 104, 1823)-net in base 25, because
- 1 times m-reduction [i] would yield (19, 103, 1823)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 988372 691257 999755 784646 707609 186082 802695 125173 061510 479034 857588 786116 543164 927347 203895 992938 594368 938336 457039 976428 897215 718127 235712 882193 > 25103 [i]