Best Known (119, 119+92, s)-Nets in Base 4
(119, 119+92, 130)-Net over F4 — Constructive and digital
Digital (119, 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
(119, 119+92, 232)-Net over F4 — Digital
Digital (119, 211, 232)-net over F4, using
(119, 119+92, 3427)-Net in Base 4 — Upper bound on s
There is no (119, 211, 3428)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10 895689 466682 351578 602855 544483 965413 813400 676577 433242 131880 031780 037802 931623 344212 922669 156744 391305 493394 902230 333844 050800 > 4211 [i]