Information on Result #899488
Linear OOA(2562, 4194327, F25, 2, 12) (dual of [(4194327, 2), 8388592, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(256, 26, F25, 2, 6) (dual of [(26, 2), 46, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;46,25) [i]
- linear OOA(2556, 4194301, F25, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-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(2562, 1398108, F25, 14, 12) (dual of [(1398108, 14), 19573450, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |