Best Known (10, 10+5, s)-Nets in Base 9
(10, 10+5, 6481)-Net over F9 — Constructive and digital
Digital (10, 15, 6481)-net over F9, using
- net defined by OOA [i] based on linear OOA(915, 6481, F9, 5, 5) (dual of [(6481, 5), 32390, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(915, 12963, F9, 5) (dual of [12963, 12948, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(915, 12963, F9, 5) (dual of [12963, 12948, 6]-code), using
(10, 10+5, 845516)-Net in Base 9 — Upper bound on s
There is no (10, 15, 845517)-net in base 9, because
- 1 times m-reduction [i] would yield (10, 14, 845517)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 22 876808 498065 > 914 [i]