Best Known (136−70, 136, s)-Nets in Base 9
(136−70, 136, 165)-Net over F9 — Constructive and digital
Digital (66, 136, 165)-net over F9, using
- t-expansion [i] based on digital (64, 136, 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
(136−70, 136, 225)-Net over F9 — Digital
Digital (66, 136, 225)-net over F9, using
(136−70, 136, 8851)-Net in Base 9 — Upper bound on s
There is no (66, 136, 8852)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 5984 118340 220529 305078 866017 284272 254338 777730 713346 012186 693683 222378 144487 615366 516027 885501 962133 722150 458926 957924 143617 167201 > 9136 [i]