Best Known (126, 126+110, s)-Nets in Base 4
(126, 126+110, 130)-Net over F4 — Constructive and digital
Digital (126, 236, 130)-net over F4, using
- t-expansion [i] based on digital (105, 236, 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
(126, 126+110, 208)-Net over F4 — Digital
Digital (126, 236, 208)-net over F4, using
(126, 126+110, 2680)-Net in Base 4 — Upper bound on s
There is no (126, 236, 2681)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12368 784420 129070 314973 532094 911517 669056 426217 420105 566961 425466 870782 011867 448461 844926 740259 713332 723748 548012 767968 051675 574791 769308 017416 > 4236 [i]