Best Known (91−76, 91, s)-Nets in Base 25
(91−76, 91, 126)-Net over F25 — Constructive and digital
Digital (15, 91, 126)-net over F25, using
- t-expansion [i] based on digital (10, 91, 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
(91−76, 91, 140)-Net over F25 — Digital
Digital (15, 91, 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
(91−76, 91, 1374)-Net in Base 25 — Upper bound on s
There is no (15, 91, 1375)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 16 731936 271327 829215 126633 143542 189186 722496 852916 695570 360593 822931 583660 839816 390098 867333 460691 471002 109014 729680 043424 132721 > 2591 [i]