Best Known (201−86, 201, s)-Nets in Base 4
(201−86, 201, 130)-Net over F4 — Constructive and digital
Digital (115, 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
(201−86, 201, 237)-Net over F4 — Digital
Digital (115, 201, 237)-net over F4, using
(201−86, 201, 3634)-Net in Base 4 — Upper bound on s
There is no (115, 201, 3635)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10 393083 560964 481012 541275 911296 386916 057789 482327 439966 885147 157181 656771 899766 215765 954278 829595 123569 959702 861383 848392 > 4201 [i]