Best Known (14, 14+54, s)-Nets in Base 256
(14, 14+54, 271)-Net over F256 — Constructive and digital
Digital (14, 68, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(14, 14+54, 513)-Net over F256 — Digital
Digital (14, 68, 513)-net over F256, using
- t-expansion [i] based on digital (8, 68, 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
(14, 14+54, 49767)-Net in Base 256 — Upper bound on s
There is no (14, 68, 49768)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 57 589660 165662 628751 907040 447642 547448 390898 064062 792193 699825 616421 825787 253806 762458 727478 739204 297267 446795 765421 793337 615610 560827 230044 263818 886531 546705 636956 > 25668 [i]