Best Known (136, 246, s)-Nets in Base 4
(136, 246, 130)-Net over F4 — Constructive and digital
Digital (136, 246, 130)-net over F4, using
- t-expansion [i] based on digital (105, 246, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(136, 246, 245)-Net over F4 — Digital
Digital (136, 246, 245)-net over F4, using
(136, 246, 3461)-Net in Base 4 — Upper bound on s
There is no (136, 246, 3462)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12888 723831 326615 508303 120335 810437 794292 763218 441762 211685 658843 132179 837648 488076 552584 122345 850589 646286 157061 814685 914948 083376 050285 104792 623680 > 4246 [i]