Information on Result #895381
Linear OOA(441, 4194386, F4, 2, 5) (dual of [(4194386, 2), 8388731, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(44, 85, F4, 2, 2) (dual of [(85, 2), 166, 3]-NRT-code), using
- appending kth column [i] based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- Hamming code H(4,4) [i]
- appending kth column [i] based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- linear OOA(437, 4194301, F4, 2, 5) (dual of [(4194301, 2), 8388565, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(437, 8388602, F4, 5) (dual of [8388602, 8388565, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(437, large, F4, 5) (dual of [large, large−37, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(437, large, F4, 5) (dual of [large, large−37, 6]-code), using
- OOA 2-folding [i] based on linear OA(437, 8388602, F4, 5) (dual of [8388602, 8388565, 6]-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(441, 4194385, F4, 3, 5) (dual of [(4194385, 3), 12583114, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(441, 4194385, F4, 6, 5) (dual of [(4194385, 6), 25166269, 6]-NRT-code) | [i] | ||