Best Known (64−50, 64, s)-Nets in Base 256
(64−50, 64, 271)-Net over F256 — Constructive and digital
Digital (14, 64, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(64−50, 64, 513)-Net over F256 — Digital
Digital (14, 64, 513)-net over F256, using
- t-expansion [i] based on digital (8, 64, 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
(64−50, 64, 58356)-Net in Base 256 — Upper bound on s
There is no (14, 64, 58357)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 13410 139750 487892 813015 881707 590598 307556 544347 453752 445047 088577 530156 064211 232575 331015 044218 134031 890796 957884 135738 589593 677456 044826 113110 964666 323376 > 25664 [i]