Best Known (202−91, 202, s)-Nets in Base 4
(202−91, 202, 130)-Net over F4 — Constructive and digital
Digital (111, 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
(202−91, 202, 201)-Net over F4 — Digital
Digital (111, 202, 201)-net over F4, using
(202−91, 202, 2835)-Net in Base 4 — Upper bound on s
There is no (111, 202, 2836)-net in base 4, because
- 1 times m-reduction [i] would yield (111, 201, 2836)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 10 387588 835382 265441 310875 161969 766572 585306 528665 515646 837568 644343 047542 743784 258921 458471 598499 939317 275740 063533 895968 > 4201 [i]