Best Known (192, 256, s)-Nets in Base 4
(192, 256, 1028)-Net over F4 — Constructive and digital
Digital (192, 256, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 64, 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
(192, 256, 2296)-Net over F4 — Digital
Digital (192, 256, 2296)-net over F4, using
(192, 256, 279381)-Net in Base 4 — Upper bound on s
There is no (192, 256, 279382)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 13407 858564 169755 481391 355334 272045 430839 432376 274258 745453 459208 831808 167328 624342 376642 740110 198765 780445 329857 581597 588430 971202 549858 795751 033516 006330 > 4256 [i]