Best Known (7−5, 7, s)-Nets in Base 64
(7−5, 7, 2016)-Net over F64 — Constructive and digital
Digital (2, 7, 2016)-net over F64, using
- net defined by OOA [i] based on linear OOA(647, 2016, F64, 5, 5) (dual of [(2016, 5), 10073, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
(7−5, 7, 5884)-Net in Base 64 — Upper bound on s
There is no (2, 7, 5885)-net in base 64, because
- 1 times m-reduction [i] would yield (2, 6, 5885)-net in base 64, but
- the generalized Rao bound for nets shows that 64m ≥ 68742 055306 > 646 [i]