Best Known (92, 241, s)-Nets in Base 4
(92, 241, 104)-Net over F4 — Constructive and digital
Digital (92, 241, 104)-net over F4, using
- t-expansion [i] based on digital (73, 241, 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
(92, 241, 144)-Net over F4 — Digital
Digital (92, 241, 144)-net over F4, using
- t-expansion [i] based on digital (91, 241, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
(92, 241, 788)-Net in Base 4 — Upper bound on s
There is no (92, 241, 789)-net in base 4, because
- 1 times m-reduction [i] would yield (92, 240, 789)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 3 231335 214781 578130 602138 086256 649019 932087 223512 940122 192836 921189 197818 373728 773346 839695 793277 870629 959074 386789 132853 518616 512629 579174 125840 > 4240 [i]