Best Known (2, 2+3, s)-Nets in Base 16
(2, 2+3, 629)-Net over F16 — Constructive and digital
Digital (2, 5, 629)-net over F16, using
- net defined by OOA [i] based on linear OOA(165, 629, F16, 3, 3) (dual of [(629, 3), 1882, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(165, 629, F16, 2, 3) (dual of [(629, 2), 1253, 4]-NRT-code), using
(2, 2+3, 1025)-Net in Base 16 — Constructive
(2, 5, 1025)-net in base 16, using
- base change [i] based on digital (1, 4, 1025)-net over F32, using
- net defined by OOA [i] based on linear OOA(324, 1025, F32, 3, 3) (dual of [(1025, 3), 3071, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(324, 1025, F32, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(324, 1025, F32, 3, 3) (dual of [(1025, 3), 3071, 4]-NRT-code), using
(2, 2+3, 3933)-Net over F16 — Upper bound on s (digital)
There is no digital (2, 5, 3934)-net over F16, because
(2, 2+3, 4368)-Net in Base 16 — Upper bound on s
There is no (2, 5, 4369)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(165, 4369, S16, 3), but