Best Known (136, 244, s)-Nets in Base 4
(136, 244, 130)-Net over F4 — Constructive and digital
Digital (136, 244, 130)-net over F4, using
- t-expansion [i] based on digital (105, 244, 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, 244, 252)-Net over F4 — Digital
Digital (136, 244, 252)-net over F4, using
(136, 244, 3627)-Net in Base 4 — Upper bound on s
There is no (136, 244, 3628)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 808 832476 582987 073591 731876 512896 722878 019235 786153 639123 426338 991189 309036 404999 125171 786009 011025 410297 139407 059666 206034 881901 527974 058100 108096 > 4244 [i]