Best Known (202−94, 202, s)-Nets in Base 4
(202−94, 202, 130)-Net over F4 — Constructive and digital
Digital (108, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−94, 202, 182)-Net over F4 — Digital
Digital (108, 202, 182)-net over F4, using
(202−94, 202, 2330)-Net in Base 4 — Upper bound on s
There is no (108, 202, 2331)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 712824 437560 570252 750359 539060 676908 332251 443287 673543 143779 330935 734293 612441 166462 573950 156292 693465 993272 781786 264832 > 4202 [i]