Best Known (12, 39, s)-Nets in Base 49
(12, 39, 62)-Net over F49 — Constructive and digital
Digital (12, 39, 62)-net over F49, using
- net from sequence [i] based on digital (12, 61)-sequence over F49, using
(12, 39, 92)-Net over F49 — Digital
Digital (12, 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
(12, 39, 10291)-Net in Base 49 — Upper bound on s
There is no (12, 39, 10292)-net in base 49, because
- 1 times m-reduction [i] would yield (12, 38, 10292)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 16896 288915 029586 715434 001601 812095 098074 702553 240084 735875 103425 > 4938 [i]