Best Known (202−86, 202, s)-Nets in Base 4
(202−86, 202, 130)-Net over F4 — Constructive and digital
Digital (116, 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
(202−86, 202, 241)-Net over F4 — Digital
Digital (116, 202, 241)-net over F4, using
(202−86, 202, 3754)-Net in Base 4 — Upper bound on s
There is no (116, 202, 3755)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 455007 437422 071763 458916 645766 203916 486921 019756 306873 520049 783889 544227 916378 911355 889608 309836 493524 174385 028194 487036 > 4202 [i]