Best Known (10, 10+29, s)-Nets in Base 49
(10, 10+29, 60)-Net over F49 — Constructive and digital
Digital (10, 39, 60)-net over F49, using
- net from sequence [i] based on digital (10, 59)-sequence over F49, using
(10, 10+29, 92)-Net over F49 — Digital
Digital (10, 39, 92)-net over F49, using
- t-expansion [i] based on digital (3, 39, 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
(10, 10+29, 4867)-Net in Base 49 — Upper bound on s
There is no (10, 39, 4868)-net in base 49, because
- 1 times m-reduction [i] would yield (10, 38, 4868)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 16918 086386 772491 207078 455488 247302 722610 724545 002793 866499 352705 > 4938 [i]