Best Known (144, 144+48, s)-Nets in Base 4
(144, 144+48, 1028)-Net over F4 — Constructive and digital
Digital (144, 192, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 48, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
(144, 144+48, 1787)-Net over F4 — Digital
Digital (144, 192, 1787)-net over F4, using
(144, 144+48, 214132)-Net in Base 4 — Upper bound on s
There is no (144, 192, 214133)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 39 405784 518901 163539 473431 475997 108921 075959 263132 116215 671636 244513 038054 036821 631695 080507 640727 750715 930596 106844 > 4192 [i]