Best Known (76, 76+56, s)-Nets in Base 5
(76, 76+56, 252)-Net over F5 — Constructive and digital
Digital (76, 132, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 66, 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
(76, 76+56, 5552)-Net in Base 5 — Upper bound on s
There is no (76, 132, 5553)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 184 104406 126405 283436 771259 057438 489289 450808 872986 710930 588200 466912 323488 224112 149401 801745 > 5132 [i]