Best Known (9−8, 9, s)-Nets in Base 49
(9−8, 9, 51)-Net over F49 — Constructive and digital
Digital (1, 9, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
(9−8, 9, 64)-Net over F49 — Digital
Digital (1, 9, 64)-net over F49, using
- net from sequence [i] based on digital (1, 63)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 1 and N(F) ≥ 64, using
(9−8, 9, 291)-Net in Base 49 — Upper bound on s
There is no (1, 9, 292)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 1643 100521 518849 > 499 [i]