Best Known (19, 108, s)-Nets in Base 25
(19, 108, 148)-Net over F25 — Constructive and digital
Digital (19, 108, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
(19, 108, 162)-Net over F25 — Digital
Digital (19, 108, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(19, 108, 1780)-Net in Base 25 — Upper bound on s
There is no (19, 108, 1781)-net in base 25, because
- 1 times m-reduction [i] would yield (19, 107, 1781)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 381874 805383 786045 795955 322724 334693 545616 975815 689892 575012 306728 993892 717547 954171 840089 114949 568987 036018 116414 303997 518048 291563 315328 542295 086625 > 25107 [i]