Best Known (42−28, 42, s)-Nets in Base 256
(42−28, 42, 514)-Net over F256 — Constructive and digital
Digital (14, 42, 514)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (0, 14, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- digital (0, 28, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 14, 257)-net over F256, using
(42−28, 42, 397768)-Net in Base 256 — Upper bound on s
There is no (14, 42, 397769)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 139986 913238 851807 660221 747758 252073 192022 582768 955489 423013 350779 949346 784018 081190 900896 203499 879456 > 25642 [i]