Best Known (15, 89, s)-Nets in Base 25
(15, 89, 126)-Net over F25 — Constructive and digital
Digital (15, 89, 126)-net over F25, using
- t-expansion [i] based on digital (10, 89, 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
(15, 89, 140)-Net over F25 — Digital
Digital (15, 89, 140)-net over F25, using
- net from sequence [i] based on digital (15, 139)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 15 and N(F) ≥ 140, using
(15, 89, 1387)-Net in Base 25 — Upper bound on s
There is no (15, 89, 1388)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 26390 702546 825491 350633 536319 082051 986257 005742 275591 020568 642251 464542 129318 934992 536780 953035 251365 810931 593625 008547 248545 > 2589 [i]