Best Known (50−34, 50, s)-Nets in Base 256
(50−34, 50, 273)-Net over F256 — Constructive and digital
Digital (16, 50, 273)-net over F256, using
- net from sequence [i] based on digital (16, 272)-sequence over F256, using
(50−34, 50, 513)-Net over F256 — Digital
Digital (16, 50, 513)-net over F256, using
- t-expansion [i] based on digital (8, 50, 513)-net over F256, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
(50−34, 50, 340763)-Net in Base 256 — Upper bound on s
There is no (16, 50, 340764)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 2 582274 160294 381094 421915 262420 752781 335628 970021 027204 899149 160243 270813 334905 502560 470844 987759 315398 599069 580328 512691 > 25650 [i]