Best Known (19, 19+40, s)-Nets in Base 256
(19, 19+40, 276)-Net over F256 — Constructive and digital
Digital (19, 59, 276)-net over F256, using
- net from sequence [i] based on digital (19, 275)-sequence over F256, using
(19, 19+40, 513)-Net over F256 — Digital
Digital (19, 59, 513)-net over F256, using
- t-expansion [i] based on digital (8, 59, 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
(19, 19+40, 414060)-Net in Base 256 — Upper bound on s
There is no (19, 59, 414061)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 12194 568892 016121 646653 531149 112756 486009 878929 887685 377263 167763 251507 019180 995144 518388 678719 580035 865738 186546 499549 133328 517497 115560 020226 > 25659 [i]