Information on Result #971909
Linear OOA(552, 4194301, F5, 3, 6) (dual of [(4194301, 3), 12582851, 7]-NRT-code), using OOA 2-folding based on linear OOA(552, 8388602, F5, 2, 6) (dual of [(8388602, 2), 16777152, 7]-NRT-code), using
- trace code [i] based on linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-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(555, 4194307, F5, 3, 6) (dual of [(4194307, 3), 12582866, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(567, 7244627, F5, 3, 6) (dual of [(7244627, 3), 21733814, 7]-NRT-code) | [i] | ||
3 | Linear OOA(568, 8388602, F5, 3, 6) (dual of [(8388602, 3), 25165738, 7]-NRT-code) | [i] |