Best Known (41, 41+67, s)-Nets in Base 25
(41, 41+67, 288)-Net over F25 — Constructive and digital
Digital (41, 108, 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+67, 18683)-Net in Base 25 — Upper bound on s
There is no (41, 108, 18684)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 107, 18684)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 380285 068029 679754 989752 087314 870306 957035 708779 361991 303274 110687 140469 512011 973367 224443 086994 634950 798528 049677 534253 672639 723162 538041 272257 061793 > 25107 [i]