Best Known (53−43, 53, s)-Nets in Base 49
(53−43, 53, 60)-Net over F49 — Constructive and digital
Digital (10, 53, 60)-net over F49, using
- net from sequence [i] based on digital (10, 59)-sequence over F49, using
(53−43, 53, 92)-Net over F49 — Digital
Digital (10, 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
(53−43, 53, 2759)-Net in Base 49 — Upper bound on s
There is no (10, 53, 2760)-net in base 49, because
- 1 times m-reduction [i] would yield (10, 52, 2760)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 7784 137400 731473 953475 416838 281253 132049 385439 579067 733031 233865 385165 953048 165421 546369 > 4952 [i]