Best Known (64−55, 64, s)-Nets in Base 25
(64−55, 64, 104)-Net over F25 — Constructive and digital
Digital (9, 64, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
(64−55, 64, 817)-Net in Base 25 — Upper bound on s
There is no (9, 64, 818)-net in base 25, because
- 1 times m-reduction [i] would yield (9, 63, 818)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 11831 590802 082632 024598 405270 809582 458912 544131 085585 955506 032303 618126 873581 706262 069713 > 2563 [i]