Information on Result #895425
Linear OOA(481, 4194472, F4, 2, 8) (dual of [(4194472, 2), 8388863, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(49, 171, F4, 2, 4) (dual of [(171, 2), 333, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 9, 171)-net over F4, using
- linear OOA(472, 4194301, F4, 2, 8) (dual of [(4194301, 2), 8388530, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(472, 8388602, F4, 8) (dual of [8388602, 8388530, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- OOA 2-folding [i] based on linear OA(472, 8388602, F4, 8) (dual of [8388602, 8388530, 9]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(481, 2097235, F4, 10, 8) (dual of [(2097235, 10), 20972269, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |