Best Known (180, 240, s)-Nets in Base 4
(180, 240, 1028)-Net over F4 — Constructive and digital
Digital (180, 240, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 60, 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
(180, 240, 2169)-Net over F4 — Digital
Digital (180, 240, 2169)-net over F4, using
(180, 240, 263091)-Net in Base 4 — Upper bound on s
There is no (180, 240, 263092)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 121907 476972 280129 647525 914678 636545 828369 982052 389668 471008 452882 883426 249194 275946 051814 737163 480280 011576 060406 797670 417869 274861 033933 304424 > 4240 [i]