Best Known (203−92, 203, s)-Nets in Base 4
(203−92, 203, 130)-Net over F4 — Constructive and digital
Digital (111, 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
(203−92, 203, 198)-Net over F4 — Digital
Digital (111, 203, 198)-net over F4, using
(203−92, 203, 2685)-Net in Base 4 — Upper bound on s
There is no (111, 203, 2686)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 167 435412 338370 259828 274090 405989 979624 845067 498210 902371 930657 412079 084270 027746 010542 014560 339707 533704 441973 493869 695440 > 4203 [i]