Best Known (13, 54, s)-Nets in Base 49
(13, 54, 63)-Net over F49 — Constructive and digital
Digital (13, 54, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(13, 54, 92)-Net over F49 — Digital
Digital (13, 54, 92)-net over F49, using
- t-expansion [i] based on digital (3, 54, 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
(13, 54, 5203)-Net in Base 49 — Upper bound on s
There is no (13, 54, 5204)-net in base 49, because
- 1 times m-reduction [i] would yield (13, 53, 5204)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 381922 497421 836124 060980 524746 340468 872056 931900 921398 376493 498720 408042 293634 358128 981761 > 4953 [i]