Best Known (66−54, 66, s)-Nets in Base 256
(66−54, 66, 269)-Net over F256 — Constructive and digital
Digital (12, 66, 269)-net over F256, using
- net from sequence [i] based on digital (12, 268)-sequence over F256, using
(66−54, 66, 513)-Net over F256 — Digital
Digital (12, 66, 513)-net over F256, using
- t-expansion [i] based on digital (8, 66, 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
(66−54, 66, 32999)-Net in Base 256 — Upper bound on s
There is no (12, 66, 33000)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 879 294039 370050 568846 206160 455212 164218 483835 024757 588784 769710 167161 590434 928882 346171 358765 483477 905902 883760 618459 174971 340598 152887 287672 885396 782453 476876 > 25666 [i]