Best Known (5−3, 5, s)-Nets in Base 128
(5−3, 5, 49156)-Net over F128 — Constructive and digital
Digital (2, 5, 49156)-net over F128, using
- net defined by OOA [i] based on linear OOA(1285, 49156, F128, 3, 3) (dual of [(49156, 3), 147463, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1285, 49156, F128, 2, 3) (dual of [(49156, 2), 98307, 4]-NRT-code), using
(5−3, 5, 65537)-Net in Base 128 — Constructive
(2, 5, 65537)-net in base 128, using
- net defined by OOA [i] based on OOA(1285, 65537, S128, 3, 3), using
- appending kth column [i] based on OOA(1285, 65537, S128, 2, 3), using
- discarding parts of the base [i] based on linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- appending kth column [i] based on OOA(1285, 65537, S128, 2, 3), using
(5−3, 5, 2081533)-Net over F128 — Upper bound on s (digital)
There is no digital (2, 5, 2081534)-net over F128, because
(5−3, 5, 2113664)-Net in Base 128 — Upper bound on s
There is no (2, 5, 2113665)-net in base 128, because
- extracting embedded orthogonal array [i] would yield OA(1285, 2113665, S128, 3), but