Best Known (158, 250, s)-Nets in Base 3
(158, 250, 162)-Net over F3 — Constructive and digital
Digital (158, 250, 162)-net over F3, using
- t-expansion [i] based on digital (157, 250, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 125, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- trace code for nets [i] based on digital (32, 125, 81)-net over F9, using
(158, 250, 289)-Net over F3 — Digital
Digital (158, 250, 289)-net over F3, using
(158, 250, 3480)-Net in Base 3 — Upper bound on s
There is no (158, 250, 3481)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 191977 587328 429433 329946 978729 138149 748429 325215 554491 373930 316171 499595 237673 942688 664790 599380 776527 124460 548867 402601 > 3250 [i]