Best Known (42−32, 42, s)-Nets in Base 49
(42−32, 42, 60)-Net over F49 — Constructive and digital
Digital (10, 42, 60)-net over F49, using
- net from sequence [i] based on digital (10, 59)-sequence over F49, using
(42−32, 42, 92)-Net over F49 — Digital
Digital (10, 42, 92)-net over F49, using
- t-expansion [i] based on digital (3, 42, 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
(42−32, 42, 3865)-Net in Base 49 — Upper bound on s
There is no (10, 42, 3866)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 97608 808936 085213 535977 817772 407095 404864 735264 839600 309046 874897 782273 > 4942 [i]