Best Known (24, 42, s)-Nets in Base 4
(24, 42, 76)-Net over F4 — Constructive and digital
Digital (24, 42, 76)-net over F4, using
- trace code for nets [i] based on digital (3, 21, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
(24, 42, 884)-Net in Base 4 — Upper bound on s
There is no (24, 42, 885)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 19 387299 181254 752050 166512 > 442 [i]