Best Known (64, 64+70, s)-Nets in Base 9
(64, 64+70, 165)-Net over F9 — Constructive and digital
Digital (64, 134, 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
(64, 64+70, 209)-Net over F9 — Digital
Digital (64, 134, 209)-net over F9, using
(64, 64+70, 7804)-Net in Base 9 — Upper bound on s
There is no (64, 134, 7805)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 73 876510 889483 989207 504989 827196 640629 369237 053038 677032 474699 520214 364972 885695 067489 746709 098734 547828 457140 194974 745846 629625 > 9134 [i]