Best Known (138, 256, s)-Nets in Base 4
(138, 256, 130)-Net over F4 — Constructive and digital
Digital (138, 256, 130)-net over F4, using
- t-expansion [i] based on digital (105, 256, 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
(138, 256, 231)-Net over F4 — Digital
Digital (138, 256, 231)-net over F4, using
(138, 256, 3067)-Net in Base 4 — Upper bound on s
There is no (138, 256, 3068)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 13598 554245 924391 887100 611812 869184 365158 255974 789384 160674 085532 886296 657641 051296 900518 967065 998861 509291 230145 724235 087684 359760 543610 016975 319526 874049 > 4256 [i]