Best Known (114, 114+86, s)-Nets in Base 4
(114, 114+86, 130)-Net over F4 — Constructive and digital
Digital (114, 200, 130)-net over F4, using
- t-expansion [i] based on digital (105, 200, 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
(114, 114+86, 232)-Net over F4 — Digital
Digital (114, 200, 232)-net over F4, using
(114, 114+86, 3518)-Net in Base 4 — Upper bound on s
There is no (114, 200, 3519)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 611948 285027 535932 789620 122955 620926 870539 702662 389070 261477 264298 560141 542148 048765 628904 889985 542672 199461 745610 267456 > 4200 [i]