Best Known (74, 74+76, s)-Nets in Base 9
(74, 74+76, 165)-Net over F9 — Constructive and digital
Digital (74, 150, 165)-net over F9, using
- t-expansion [i] based on digital (64, 150, 165)-net over F9, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- T4 from the second tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
(74, 74+76, 261)-Net over F9 — Digital
Digital (74, 150, 261)-net over F9, using
(74, 74+76, 10953)-Net in Base 9 — Upper bound on s
There is no (74, 150, 10954)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 137287 935547 748181 180850 978135 596812 271712 923961 982925 816770 358313 975988 276879 554471 462162 387423 787781 634815 233510 995625 689799 040081 061688 805921 > 9150 [i]