Best Known (14, 105, s)-Nets in Base 25
(14, 105, 126)-Net over F25 — Constructive and digital
Digital (14, 105, 126)-net over F25, using
- t-expansion [i] based on digital (10, 105, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(14, 105, 130)-Net over F25 — Digital
Digital (14, 105, 130)-net over F25, using
- net from sequence [i] based on digital (14, 129)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 14 and N(F) ≥ 130, using
(14, 105, 1225)-Net in Base 25 — Upper bound on s
There is no (14, 105, 1226)-net in base 25, because
- 1 times m-reduction [i] would yield (14, 104, 1226)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 24 496496 518238 122916 508634 170690 063429 685060 533201 071717 015607 923906 716336 993115 344245 991747 675606 201876 405107 035541 574003 370967 230934 652622 476465 > 25104 [i]