Best Known (174, 174+58, s)-Nets in Base 4
(174, 174+58, 1028)-Net over F4 — Constructive and digital
Digital (174, 232, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 58, 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
(174, 174+58, 2105)-Net over F4 — Digital
Digital (174, 232, 2105)-net over F4, using
(174, 174+58, 254941)-Net in Base 4 — Upper bound on s
There is no (174, 232, 254942)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 47 637274 711154 986425 067347 845423 270813 530561 680484 777012 675398 643868 112871 177335 266425 494957 153568 927646 568383 374906 044452 383146 173049 468955 > 4232 [i]