Best Known (108−46, 108, s)-Nets in Base 16
(108−46, 108, 530)-Net over F16 — Constructive and digital
Digital (62, 108, 530)-net over F16, using
- trace code for nets [i] based on digital (8, 54, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(108−46, 108, 1026)-Net over F16 — Digital
Digital (62, 108, 1026)-net over F16, using
- trace code for nets [i] based on digital (8, 54, 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
(108−46, 108, 283448)-Net in Base 16 — Upper bound on s
There is no (62, 108, 283449)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 11090 970791 849447 055887 298003 248968 972869 653021 539891 296379 963980 392648 619657 734133 341738 227780 597534 381337 028099 120520 620602 153656 > 16108 [i]