Best Known (46−37, 46, s)-Nets in Base 49
(46−37, 46, 59)-Net over F49 — Constructive and digital
Digital (9, 46, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(46−37, 46, 92)-Net over F49 — Digital
Digital (9, 46, 92)-net over F49, using
- t-expansion [i] based on digital (3, 46, 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
(46−37, 46, 2635)-Net in Base 49 — Upper bound on s
There is no (9, 46, 2636)-net in base 49, because
- 1 times m-reduction [i] would yield (9, 45, 2636)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 11462 393471 090169 918120 034950 199661 268992 859373 648198 735627 526402 034281 115265 > 4945 [i]