Best Known (33−27, 33, s)-Nets in Base 49
(33−27, 33, 56)-Net over F49 — Constructive and digital
Digital (6, 33, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(33−27, 33, 92)-Net over F49 — Digital
Digital (6, 33, 92)-net over F49, using
- t-expansion [i] based on digital (3, 33, 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
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
(33−27, 33, 1702)-Net in Base 49 — Upper bound on s
There is no (6, 33, 1703)-net in base 49, because
- 1 times m-reduction [i] would yield (6, 32, 1703)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 1 225689 623659 944611 603156 840170 017986 405921 186883 968785 > 4932 [i]