Best Known (41, 110, s)-Nets in Base 25
(41, 110, 288)-Net over F25 — Constructive and digital
Digital (41, 110, 288)-net over F25, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
(41, 110, 17078)-Net in Base 25 — Upper bound on s
There is no (41, 110, 17079)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 109, 17079)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 237 803903 719353 243703 372654 470459 856262 166350 393085 359880 915268 775535 121419 321623 711330 825147 384809 670507 845906 257332 695036 836490 020757 886740 894586 835025 > 25109 [i]