Best Known (116, 116+95, s)-Nets in Base 4
(116, 116+95, 130)-Net over F4 — Constructive and digital
Digital (116, 211, 130)-net over F4, using
- t-expansion [i] based on digital (105, 211, 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
(116, 116+95, 209)-Net over F4 — Digital
Digital (116, 211, 209)-net over F4, using
(116, 116+95, 2960)-Net in Base 4 — Upper bound on s
There is no (116, 211, 2961)-net in base 4, because
- 1 times m-reduction [i] would yield (116, 210, 2961)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2 711268 654430 213095 257728 677891 070036 144440 586695 025861 708740 331778 289594 308087 057376 667545 213854 628315 760484 295631 332159 980608 > 4210 [i]