Best Known (58−42, 58, s)-Nets in Base 256
(58−42, 58, 273)-Net over F256 — Constructive and digital
Digital (16, 58, 273)-net over F256, using
- net from sequence [i] based on digital (16, 272)-sequence over F256, using
(58−42, 58, 513)-Net over F256 — Digital
Digital (16, 58, 513)-net over F256, using
- t-expansion [i] based on digital (8, 58, 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
(58−42, 58, 152494)-Net in Base 256 — Upper bound on s
There is no (16, 58, 152495)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 47 639865 838303 832594 185625 712118 213799 384276 937152 424094 310671 300401 143529 953060 487183 815953 931993 846645 611750 422952 214061 099355 848266 144476 > 25658 [i]