Best Known (177, 177+64, s)-Nets in Base 3
(177, 177+64, 288)-Net over F3 — Constructive and digital
Digital (177, 241, 288)-net over F3, using
- 8 times m-reduction [i] based on digital (177, 249, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 83, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- trace code for nets [i] based on digital (11, 83, 96)-net over F27, using
(177, 177+64, 790)-Net over F3 — Digital
Digital (177, 241, 790)-net over F3, using
(177, 177+64, 25039)-Net in Base 3 — Upper bound on s
There is no (177, 241, 25040)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 9 695029 449325 649060 041000 195915 963410 329286 250536 582400 100974 805163 339893 201214 161796 286439 631142 937454 195596 908545 > 3241 [i]