Best Known (6, 6+11, s)-Nets in Base 5
(6, 6+11, 21)-Net over F5 — Constructive and digital
Digital (6, 17, 21)-net over F5, using
- net from sequence [i] based on digital (6, 20)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 6 and N(F) ≥ 21, using
(6, 6+11, 109)-Net in Base 5 — Upper bound on s
There is no (6, 17, 110)-net in base 5, because
- 1 times m-reduction [i] would yield (6, 16, 110)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 158714 985529 > 516 [i]