Best Known (98, 98+96, s)-Nets in Base 4
(98, 98+96, 104)-Net over F4 — Constructive and digital
Digital (98, 194, 104)-net over F4, using
- t-expansion [i] based on digital (73, 194, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the 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) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(98, 98+96, 145)-Net over F4 — Digital
Digital (98, 194, 145)-net over F4, using
(98, 98+96, 1655)-Net in Base 4 — Upper bound on s
There is no (98, 194, 1656)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 645 545070 304751 380564 734961 110209 404593 935142 281849 497038 353903 518182 100548 447146 640985 548269 635012 956574 430693 504527 > 4194 [i]