Best Known (201−82, 201, s)-Nets in Base 4
(201−82, 201, 130)-Net over F4 — Constructive and digital
Digital (119, 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
(201−82, 201, 275)-Net over F4 — Digital
Digital (119, 201, 275)-net over F4, using
(201−82, 201, 4778)-Net in Base 4 — Upper bound on s
There is no (119, 201, 4779)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10 352062 071615 840887 131766 665504 569555 395332 512948 614126 712426 478081 853871 173904 816330 016934 262016 688427 061169 425060 465834 > 4201 [i]