Best Known (162, 216, s)-Nets in Base 4
(162, 216, 1028)-Net over F4 — Constructive and digital
Digital (162, 216, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 54, 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
(162, 216, 1978)-Net over F4 — Digital
Digital (162, 216, 1978)-net over F4, using
(162, 216, 238630)-Net in Base 4 — Upper bound on s
There is no (162, 216, 238631)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11091 679085 147133 642716 559512 168096 658194 689721 518406 077923 776364 395463 901740 789065 836684 118814 403474 844549 269153 705470 783213 118624 > 4216 [i]