Best Known (96−40, 96, s)-Nets in Base 16
(96−40, 96, 530)-Net over F16 — Constructive and digital
Digital (56, 96, 530)-net over F16, using
- trace code for nets [i] based on digital (8, 48, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(96−40, 96, 1026)-Net over F16 — Digital
Digital (56, 96, 1026)-net over F16, using
- trace code for nets [i] based on digital (8, 48, 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
(96−40, 96, 333408)-Net in Base 16 — Upper bound on s
There is no (56, 96, 333409)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 39 402988 638065 161225 188960 521790 640171 355559 660016 835349 443993 518395 119738 164199 511910 114730 788710 925348 462693 699576 > 1696 [i]