Best Known (103−80, 103, s)-Nets in Base 25
(103−80, 103, 148)-Net over F25 — Constructive and digital
Digital (23, 103, 148)-net over F25, using
- t-expansion [i] based on digital (19, 103, 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
(103−80, 103, 176)-Net over F25 — Digital
Digital (23, 103, 176)-net over F25, using
- net from sequence [i] based on digital (23, 175)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 23 and N(F) ≥ 176, using
(103−80, 103, 2592)-Net in Base 25 — Upper bound on s
There is no (23, 103, 2593)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 976968 429366 318613 500551 771673 884054 532918 492378 635980 970919 604921 343421 725811 088444 290060 388568 704315 489272 410706 899353 221483 314000 003955 218113 > 25103 [i]