Best Known (104, 235, s)-Nets in Base 4
(104, 235, 104)-Net over F4 — Constructive and digital
Digital (104, 235, 104)-net over F4, using
- t-expansion [i] based on digital (73, 235, 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
(104, 235, 144)-Net over F4 — Digital
Digital (104, 235, 144)-net over F4, using
- t-expansion [i] based on digital (91, 235, 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
(104, 235, 1174)-Net in Base 4 — Upper bound on s
There is no (104, 235, 1175)-net in base 4, because
- 1 times m-reduction [i] would yield (104, 234, 1175)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 775 603767 539346 596930 297505 390770 587765 762722 928101 778496 864515 266878 296469 459748 722269 988931 681698 243044 655148 295142 144341 374665 227224 285940 > 4234 [i]