Best Known (46, 46+36, s)-Nets in Base 25
(46, 46+36, 288)-Net over F25 — Constructive and digital
Digital (46, 82, 288)-net over F25, using
- t-expansion [i] based on digital (41, 82, 288)-net over F25, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
(46, 46+36, 1110)-Net over F25 — Digital
Digital (46, 82, 1110)-net over F25, using
(46, 46+36, 735032)-Net in Base 25 — Upper bound on s
There is no (46, 82, 735033)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4 276443 934811 122510 804128 862909 632038 123807 917302 430748 864255 006109 453444 445852 593416 808190 038288 835814 381676 922225 > 2582 [i]