Best Known (48, 76, s)-Nets in Base 5
(48, 76, 252)-Net over F5 — Constructive and digital
Digital (48, 76, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 38, 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
(48, 76, 259)-Net over F5 — Digital
Digital (48, 76, 259)-net over F5, using
(48, 76, 9404)-Net in Base 5 — Upper bound on s
There is no (48, 76, 9405)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 132407 797299 492335 600420 514413 646882 231601 908851 713385 > 576 [i]