Best Known (41, 41+61, s)-Nets in Base 25
(41, 41+61, 288)-Net over F25 — Constructive and digital
Digital (41, 102, 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, 41+61, 25509)-Net in Base 25 — Upper bound on s
There is no (41, 102, 25510)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 101, 25510)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1556 078108 194568 721497 392620 401455 349734 507578 823750 194118 918161 164842 524027 161406 510504 262418 359071 768799 766513 531832 341597 791629 430731 536545 > 25101 [i]