Best Known (27, 27+40, s)-Nets in Base 25
(27, 27+40, 200)-Net over F25 — Constructive and digital
Digital (27, 67, 200)-net over F25, using
- t-expansion [i] based on digital (25, 67, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
(27, 27+40, 16669)-Net in Base 25 — Upper bound on s
There is no (27, 67, 16670)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4594 031241 250017 021639 860530 252946 809899 919549 693458 599052 549555 141020 738157 897487 033881 975745 > 2567 [i]