Best Known (4, 4+6, s)-Nets in Base 256
(4, 4+6, 515)-Net over F256 — Constructive and digital
Digital (4, 10, 515)-net over F256, using
- net defined by OOA [i] based on linear OOA(25610, 515, F256, 6, 6) (dual of [(515, 6), 3080, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(25610, 515, F256, 5, 6) (dual of [(515, 5), 2565, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1282,256) [i]
- linear OOA(2567, 258, F256, 5, 6) (dual of [(258, 5), 1283, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 7, 258)-net over F256, using
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(25610, 515, F256, 5, 6) (dual of [(515, 5), 2565, 7]-NRT-code), using
(4, 4+6, 1285)-Net over F256 — Digital
Digital (4, 10, 1285)-net over F256, using
- net defined by OOA [i] based on linear OOA(25610, 1285, F256, 6, 6) (dual of [(1285, 6), 7700, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(25610, 1285, F256, 5, 6) (dual of [(1285, 5), 6415, 7]-NRT-code), using
(4, 4+6, 759118)-Net in Base 256 — Upper bound on s
There is no (4, 10, 759119)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 1 208928 488788 191571 534036 > 25610 [i]