Best Known (50, 146, s)-Nets in Base 9
(50, 146, 81)-Net over F9 — Constructive and digital
Digital (50, 146, 81)-net over F9, using
- t-expansion [i] based on digital (32, 146, 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
(50, 146, 182)-Net over F9 — Digital
Digital (50, 146, 182)-net over F9, using
- net from sequence [i] based on digital (50, 181)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 50 and N(F) ≥ 182, using
(50, 146, 1842)-Net in Base 9 — Upper bound on s
There is no (50, 146, 1843)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 21 338014 633089 520632 743535 644449 797363 632701 611573 033237 613052 907777 086497 211406 228529 451155 306901 200897 641754 065354 887486 989710 850682 812545 > 9146 [i]