Best Known (8, 8+37, s)-Nets in Base 256
(8, 8+37, 265)-Net over F256 — Constructive and digital
Digital (8, 45, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(8, 8+37, 513)-Net over F256 — Digital
Digital (8, 45, 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
(8, 8+37, 22815)-Net in Base 256 — Upper bound on s
There is no (8, 45, 22816)-net in base 256, because
- 1 times m-reduction [i] would yield (8, 44, 22816)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 9175 486451 825511 003676 280383 703314 496218 716551 389724 356016 483429 718090 917333 902588 397136 812044 458830 593891 > 25644 [i]