Information on Result #899332
Linear OOA(2519, 4194952, F25, 2, 4) (dual of [(4194952, 2), 8389885, 5]-NRT-code), using (u, u+v)-construction based on
- linear OOA(253, 651, F25, 2, 2) (dual of [(651, 2), 1299, 3]-NRT-code), using
- appending kth column [i] based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- Hamming code H(3,25) [i]
- appending kth column [i] based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- linear OOA(2516, 4194301, F25, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-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(2519, 4194951, F25, 6, 4) (dual of [(4194951, 6), 25169687, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |