Best Known (120, 120+40, s)-Nets in Base 4
(120, 120+40, 1028)-Net over F4 — Constructive and digital
Digital (120, 160, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 40, 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
(120, 120+40, 1534)-Net over F4 — Digital
Digital (120, 160, 1534)-net over F4, using
(120, 120+40, 181395)-Net in Base 4 — Upper bound on s
There is no (120, 160, 181396)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 136134 806232 593206 791682 132523 557451 821101 786324 905807 796353 086866 490012 563664 754699 518198 650416 > 4160 [i]