Best Known (138, 184, s)-Nets in Base 4
(138, 184, 1028)-Net over F4 — Constructive and digital
Digital (138, 184, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 46, 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
(138, 184, 1724)-Net over F4 — Digital
Digital (138, 184, 1724)-net over F4, using
(138, 184, 205956)-Net in Base 4 — Upper bound on s
There is no (138, 184, 205957)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 601 257481 846163 631250 878680 276134 142615 451759 960769 036406 903330 306911 594665 164631 922817 030654 131639 716611 769472 > 4184 [i]