Best Known (208−86, 208, s)-Nets in Base 4
(208−86, 208, 130)-Net over F4 — Constructive and digital
Digital (122, 208, 130)-net over F4, using
- t-expansion [i] based on digital (105, 208, 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
(208−86, 208, 272)-Net over F4 — Digital
Digital (122, 208, 272)-net over F4, using
(208−86, 208, 4563)-Net in Base 4 — Upper bound on s
There is no (122, 208, 4564)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 170030 499151 079399 531146 665602 934069 035719 714584 559657 640501 276409 467135 525625 670602 342353 371313 683329 740493 581365 300165 074340 > 4208 [i]