Best Known (51−37, 51, s)-Nets in Base 256
(51−37, 51, 271)-Net over F256 — Constructive and digital
Digital (14, 51, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(51−37, 51, 513)-Net over F256 — Digital
Digital (14, 51, 513)-net over F256, using
- t-expansion [i] based on digital (8, 51, 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
(51−37, 51, 144917)-Net in Base 256 — Upper bound on s
There is no (14, 51, 144918)-net in base 256, because
- 1 times m-reduction [i] would yield (14, 50, 144918)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 2 582536 704377 719554 189425 838352 790577 373943 361853 344973 617135 758500 518670 096228 699209 983657 800608 770654 031422 217216 888946 > 25650 [i]