Best Known (7−5, 7, s)-Nets in Base 32
(7−5, 7, 496)-Net over F32 — Constructive and digital
Digital (2, 7, 496)-net over F32, using
- net defined by OOA [i] based on linear OOA(327, 496, F32, 5, 5) (dual of [(496, 5), 2473, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(327, 993, F32, 5) (dual of [993, 986, 6]-code), using
(7−5, 7, 1494)-Net in Base 32 — Upper bound on s
There is no (2, 7, 1495)-net in base 32, because
- 1 times m-reduction [i] would yield (2, 6, 1495)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 1074 740551 > 326 [i]