Best Known (65, 133, s)-Nets in Base 9
(65, 133, 165)-Net over F9 — Constructive and digital
Digital (65, 133, 165)-net over F9, using
- t-expansion [i] based on digital (64, 133, 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
(65, 133, 227)-Net over F9 — Digital
Digital (65, 133, 227)-net over F9, using
(65, 133, 9123)-Net in Base 9 — Upper bound on s
There is no (65, 133, 9124)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 8 217032 623438 601952 305852 663089 990079 472178 920585 509033 941386 046155 481028 283038 404026 877443 558705 829285 230088 081458 661568 163009 > 9133 [i]