Best Known (95, 144, s)-Nets in Base 9
(95, 144, 740)-Net over F9 — Constructive and digital
Digital (95, 144, 740)-net over F9, using
- t-expansion [i] based on digital (91, 144, 740)-net over F9, using
- 6 times m-reduction [i] based on digital (91, 150, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 75, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- trace code for nets [i] based on digital (16, 75, 370)-net over F81, using
- 6 times m-reduction [i] based on digital (91, 150, 740)-net over F9, using
(95, 144, 1732)-Net over F9 — Digital
Digital (95, 144, 1732)-net over F9, using
(95, 144, 594233)-Net in Base 9 — Upper bound on s
There is no (95, 144, 594234)-net in base 9, because
- 1 times m-reduction [i] would yield (95, 143, 594234)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 28621 228806 375835 535059 516452 672320 266503 070233 776804 022876 795725 252241 889207 731372 945357 200945 031154 788447 831992 450853 982179 471660 037761 > 9143 [i]