Best Known (28−6, 28, s)-Nets in Base 4
(28−6, 28, 1820)-Net over F4 — Constructive and digital
Digital (22, 28, 1820)-net over F4, using
- net defined by OOA [i] based on linear OOA(428, 1820, F4, 6, 6) (dual of [(1820, 6), 10892, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(428, 5460, F4, 6) (dual of [5460, 5432, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(428, 5461, F4, 6) (dual of [5461, 5433, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(428, 5460, F4, 6) (dual of [5460, 5432, 7]-code), using
(28−6, 28, 5461)-Net over F4 — Digital
Digital (22, 28, 5461)-net over F4, using
(28−6, 28, 252049)-Net in Base 4 — Upper bound on s
There is no (22, 28, 252050)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 72058 125001 969576 > 428 [i]