Best Known (115, 115+88, s)-Nets in Base 4
(115, 115+88, 130)-Net over F4 — Constructive and digital
Digital (115, 203, 130)-net over F4, using
- t-expansion [i] based on digital (105, 203, 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
(115, 115+88, 229)-Net over F4 — Digital
Digital (115, 203, 229)-net over F4, using
(115, 115+88, 3411)-Net in Base 4 — Upper bound on s
There is no (115, 203, 3412)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 166 654867 215579 515714 959829 745877 184625 776232 441757 049050 542533 537214 677719 376517 986758 416453 863249 415376 728146 785521 915160 > 4203 [i]