Best Known (106−82, 106, s)-Nets in Base 25
(106−82, 106, 148)-Net over F25 — Constructive and digital
Digital (24, 106, 148)-net over F25, using
- t-expansion [i] based on digital (19, 106, 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
(106−82, 106, 184)-Net over F25 — Digital
Digital (24, 106, 184)-net over F25, using
- net from sequence [i] based on digital (24, 183)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 24 and N(F) ≥ 184, using
(106−82, 106, 2744)-Net in Base 25 — Upper bound on s
There is no (24, 106, 2745)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 15292 739241 779950 198093 637943 992712 909835 628236 717356 365815 381400 073254 264144 744465 512103 494415 334048 974017 274874 609638 731909 469358 084346 795862 820889 > 25106 [i]