Best Known (52−42, 52, s)-Nets in Base 256
(52−42, 52, 267)-Net over F256 — Constructive and digital
Digital (10, 52, 267)-net over F256, using
- net from sequence [i] based on digital (10, 266)-sequence over F256, using
(52−42, 52, 513)-Net over F256 — Digital
Digital (10, 52, 513)-net over F256, using
- t-expansion [i] based on digital (8, 52, 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
(52−42, 52, 31266)-Net in Base 256 — Upper bound on s
There is no (10, 52, 31267)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 169336 509964 989337 643254 440408 215476 979672 891526 585911 234496 757393 603299 012655 453238 741551 649740 918353 771968 821563 687872 615536 > 25652 [i]