Best Known (21−18, 21, s)-Nets in Base 49
(21−18, 21, 53)-Net over F49 — Constructive and digital
Digital (3, 21, 53)-net over F49, using
- net from sequence [i] based on digital (3, 52)-sequence over F49, using
(21−18, 21, 92)-Net over F49 — Digital
Digital (3, 21, 92)-net over F49, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
(21−18, 21, 754)-Net in Base 49 — Upper bound on s
There is no (3, 21, 755)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 312263 887379 703094 441072 104495 329809 > 4921 [i]