Best Known (9, 53, s)-Nets in Base 49
(9, 53, 59)-Net over F49 — Constructive and digital
Digital (9, 53, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(9, 53, 92)-Net over F49 — Digital
Digital (9, 53, 92)-net over F49, using
- t-expansion [i] based on digital (3, 53, 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
(9, 53, 2214)-Net in Base 49 — Upper bound on s
There is no (9, 53, 2215)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 381827 368674 219173 016739 506632 222506 328133 042580 882057 277293 923893 980349 501571 519443 854561 > 4953 [i]