Best Known (201−87, 201, s)-Nets in Base 4
(201−87, 201, 130)-Net over F4 — Constructive and digital
Digital (114, 201, 130)-net over F4, using
- t-expansion [i] based on digital (105, 201, 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
(201−87, 201, 228)-Net over F4 — Digital
Digital (114, 201, 228)-net over F4, using
(201−87, 201, 3518)-Net in Base 4 — Upper bound on s
There is no (114, 201, 3519)-net in base 4, because
- 1 times m-reduction [i] would yield (114, 200, 3519)-net in base 4, but
- 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]