Best Known (201−90, 201, s)-Nets in Base 4
(201−90, 201, 130)-Net over F4 — Constructive and digital
Digital (111, 201, 130)-net over F4, using
- t-expansion [i] based on digital (105, 201, 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
(201−90, 201, 204)-Net over F4 — Digital
Digital (111, 201, 204)-net over F4, using
(201−90, 201, 2835)-Net in Base 4 — Upper bound on s
There is no (111, 201, 2836)-net in base 4, because
- 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]