Best Known (108, 144, s)-Nets in Base 4
(108, 144, 1028)-Net over F4 — Constructive and digital
Digital (108, 144, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 36, 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
(108, 144, 1408)-Net over F4 — Digital
Digital (108, 144, 1408)-net over F4, using
(108, 144, 164987)-Net in Base 4 — Upper bound on s
There is no (108, 144, 164988)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 497 360144 122443 175613 287023 171027 755334 918776 067540 109985 826319 975695 399158 360048 729755 > 4144 [i]