Best Known (16, 56, s)-Nets in Base 256
(16, 56, 273)-Net over F256 — Constructive and digital
Digital (16, 56, 273)-net over F256, using
- net from sequence [i] based on digital (16, 272)-sequence over F256, using
(16, 56, 513)-Net over F256 — Digital
Digital (16, 56, 513)-net over F256, using
- t-expansion [i] based on digital (8, 56, 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
(16, 56, 180224)-Net in Base 256 — Upper bound on s
There is no (16, 56, 180225)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 726 844131 668388 610279 517126 917137 910972 190882 539521 949032 700821 221689 741643 041890 491382 835712 308474 715326 468844 108641 699495 205296 869376 > 25656 [i]