Best Known (4, 4+24, s)-Nets in Base 49
(4, 4+24, 54)-Net over F49 — Constructive and digital
Digital (4, 28, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(4, 4+24, 92)-Net over F49 — Digital
Digital (4, 28, 92)-net over F49, using
- t-expansion [i] based on digital (3, 28, 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
(4, 4+24, 962)-Net in Base 49 — Upper bound on s
There is no (4, 28, 963)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 213332 791120 071879 881428 137822 212171 748399 653569 > 4928 [i]