Best Known (47−32, 47, s)-Nets in Base 256
(47−32, 47, 272)-Net over F256 — Constructive and digital
Digital (15, 47, 272)-net over F256, using
- net from sequence [i] based on digital (15, 271)-sequence over F256, using
(47−32, 47, 513)-Net over F256 — Digital
Digital (15, 47, 513)-net over F256, using
- t-expansion [i] based on digital (8, 47, 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
(47−32, 47, 316368)-Net in Base 256 — Upper bound on s
There is no (15, 47, 316369)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 153918 969252 440055 515811 914201 692867 369771 106200 609998 491426 410731 270325 667024 685545 946019 817320 700655 618479 968021 > 25647 [i]