Best Known (10, 10+38, s)-Nets in Base 256
(10, 10+38, 267)-Net over F256 — Constructive and digital
Digital (10, 48, 267)-net over F256, using
- net from sequence [i] based on digital (10, 266)-sequence over F256, using
(10, 10+38, 513)-Net over F256 — Digital
Digital (10, 48, 513)-net over F256, using
- t-expansion [i] based on digital (8, 48, 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
(10, 10+38, 37717)-Net in Base 256 — Upper bound on s
There is no (10, 48, 37718)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 39 407436 285240 230398 938244 394054 232071 519680 336014 614279 839406 080890 175620 160468 808916 715732 031185 921144 488179 158486 > 25648 [i]