Best Known (54−40, 54, s)-Nets in Base 256
(54−40, 54, 271)-Net over F256 — Constructive and digital
Digital (14, 54, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(54−40, 54, 513)-Net over F256 — Digital
Digital (14, 54, 513)-net over F256, using
- t-expansion [i] based on digital (8, 54, 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
(54−40, 54, 103507)-Net in Base 256 — Upper bound on s
There is no (14, 54, 103508)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 11090 753658 278833 145651 819132 839273 858765 475068 051969 156727 460026 302394 721149 851210 482752 690704 992216 244030 675189 126136 519264 396176 > 25654 [i]