Best Known (136, 136+124, s)-Nets in Base 4
(136, 136+124, 130)-Net over F4 — Constructive and digital
Digital (136, 260, 130)-net over F4, using
- t-expansion [i] based on digital (105, 260, 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, 136+124, 211)-Net over F4 — Digital
Digital (136, 260, 211)-net over F4, using
(136, 136+124, 2620)-Net in Base 4 — Upper bound on s
There is no (136, 260, 2621)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 510960 943055 309116 921395 754308 365237 517328 484294 620566 520099 896164 621588 580416 830458 568674 154508 154583 303502 545259 458297 210927 340766 876050 931295 129910 664496 > 4260 [i]