Information on Result #1083715
Linear OOA(25629, 2097407, F256, 4, 9) (dual of [(2097407, 4), 8389599, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1024,256) [i]
- linear OOA(25625, 2097150, F256, 4, 9) (dual of [(2097150, 4), 8388575, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25625, 8388600, F256, 9) (dual of [8388600, 8388575, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- OOA 4-folding [i] based on linear OA(25625, 8388600, F256, 9) (dual of [8388600, 8388575, 10]-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(25639, 4194814, F256, 4, 9) (dual of [(4194814, 4), 16779217, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25629, 2097406, F256, 5, 9) (dual of [(2097406, 5), 10487001, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(25629, 2097406, F256, 6, 9) (dual of [(2097406, 6), 12584407, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(25629, 2097406, F256, 12, 9) (dual of [(2097406, 12), 25168843, 10]-NRT-code) | [i] | ||