Best Known (49−42, 49, s)-Nets in Base 49
(49−42, 49, 57)-Net over F49 — Constructive and digital
Digital (7, 49, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(49−42, 49, 92)-Net over F49 — Digital
Digital (7, 49, 92)-net over F49, using
- t-expansion [i] based on digital (3, 49, 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
(49−42, 49, 1578)-Net in Base 49 — Upper bound on s
There is no (7, 49, 1579)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 66642 670282 507975 804921 957377 828839 378971 952588 334956 032525 126960 668743 539472 772433 > 4949 [i]