Best Known (71, 71+76, s)-Nets in Base 9
(71, 71+76, 165)-Net over F9 — Constructive and digital
Digital (71, 147, 165)-net over F9, using
- t-expansion [i] based on digital (64, 147, 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
(71, 71+76, 236)-Net over F9 — Digital
Digital (71, 147, 236)-net over F9, using
(71, 71+76, 9205)-Net in Base 9 — Upper bound on s
There is no (71, 147, 9206)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 188 448138 858638 275754 250351 379828 761623 841168 288542 549837 320874 285641 277851 513593 555426 736825 989973 831128 405088 619069 219347 295385 749862 758625 > 9147 [i]