Best Known (238−70, 238, s)-Nets in Base 3
(238−70, 238, 264)-Net over F3 — Constructive and digital
Digital (168, 238, 264)-net over F3, using
- 31 times duplication [i] based on digital (167, 237, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 79, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- trace code for nets [i] based on digital (9, 79, 88)-net over F27, using
(238−70, 238, 550)-Net over F3 — Digital
Digital (168, 238, 550)-net over F3, using
(238−70, 238, 12173)-Net in Base 3 — Upper bound on s
There is no (168, 238, 12174)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 358878 411699 422552 528375 360510 237126 666766 229001 273453 634166 471356 588669 600325 065306 345480 980339 630868 363350 451585 > 3238 [i]