Best Known (61−50, 61, s)-Nets in Base 25
(61−50, 61, 126)-Net over F25 — Constructive and digital
Digital (11, 61, 126)-net over F25, using
- t-expansion [i] based on digital (10, 61, 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
(61−50, 61, 1079)-Net in Base 25 — Upper bound on s
There is no (11, 61, 1080)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 19 063365 187927 657925 933713 885895 750823 536578 419060 601372 773505 162460 202807 014466 459457 > 2561 [i]