Best Known (108−88, 108, s)-Nets in Base 25
(108−88, 108, 148)-Net over F25 — Constructive and digital
Digital (20, 108, 148)-net over F25, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(108−88, 108, 171)-Net over F25 — Digital
Digital (20, 108, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(108−88, 108, 1917)-Net in Base 25 — Upper bound on s
There is no (20, 108, 1918)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 9 560592 280967 643939 088090 091442 275943 099361 771349 532279 166813 800591 726036 785612 276380 759218 050820 257195 838222 596336 561133 315147 101755 072055 438550 210625 > 25108 [i]