Best Known (34−25, 34, s)-Nets in Base 49
(34−25, 34, 59)-Net over F49 — Constructive and digital
Digital (9, 34, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(34−25, 34, 92)-Net over F49 — Digital
Digital (9, 34, 92)-net over F49, using
- t-expansion [i] based on digital (3, 34, 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
(34−25, 34, 4893)-Net in Base 49 — Upper bound on s
There is no (9, 34, 4894)-net in base 49, because
- 1 times m-reduction [i] would yield (9, 33, 4894)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 59 792036 481607 723608 537180 726228 055373 380510 640563 615105 > 4933 [i]