Best Known (188, 188+62, s)-Nets in Base 4
(188, 188+62, 1028)-Net over F4 — Constructive and digital
Digital (188, 250, 1028)-net over F4, using
- 42 times duplication [i] based on digital (186, 248, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 62, 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
- trace code for nets [i] based on digital (0, 62, 257)-net over F256, using
(188, 188+62, 2335)-Net over F4 — Digital
Digital (188, 250, 2335)-net over F4, using
(188, 188+62, 296617)-Net in Base 4 — Upper bound on s
There is no (188, 250, 296618)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 273478 252927 104983 397265 949138 878616 256053 864077 646317 398806 654302 488816 429187 322289 679374 458289 231276 006503 464725 781850 590750 607233 272693 101054 188720 > 4250 [i]