Best Known (21, 21+46, s)-Nets in Base 256
(21, 21+46, 278)-Net over F256 — Constructive and digital
Digital (21, 67, 278)-net over F256, using
- net from sequence [i] based on digital (21, 277)-sequence over F256, using
(21, 21+46, 513)-Net over F256 — Digital
Digital (21, 67, 513)-net over F256, using
- t-expansion [i] based on digital (8, 67, 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
(21, 21+46, 383011)-Net in Base 256 — Upper bound on s
There is no (21, 67, 383012)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 224959 171263 600955 781239 131105 665142 304424 566319 988265 588427 907775 165786 829383 751772 833762 795764 909144 651171 383169 431849 365066 701868 594794 555799 229699 781113 714856 > 25667 [i]