Best Known (13−11, 13, s)-Nets in Base 49
(13−11, 13, 52)-Net over F49 — Constructive and digital
Digital (2, 13, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(13−11, 13, 78)-Net over F49 — Digital
Digital (2, 13, 78)-net over F49, using
- net from sequence [i] based on digital (2, 77)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 2 and N(F) ≥ 78, using
(13−11, 13, 616)-Net in Base 49 — Upper bound on s
There is no (2, 13, 617)-net in base 49, because
- 1 times m-reduction [i] would yield (2, 12, 617)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 193 124204 139425 961073 > 4912 [i]