Information on Result #905632
Linear OOA(25653, 8388602, F256, 2, 13) (dual of [(8388602, 2), 16777151, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25616, 4194301, F256, 2, 6) (dual of [(4194301, 2), 8388586, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
- linear OOA(25637, 4194301, F256, 2, 13) (dual of [(4194301, 2), 8388565, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25637, 8388602, F256, 13) (dual of [8388602, 8388565, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- OOA 2-folding [i] based on linear OA(25637, 8388602, F256, 13) (dual of [8388602, 8388565, 14]-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(25655, large, F256, 2, 13) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25657, large, F256, 2, 13) | [i] | ||
| 3 | Linear OOA(25659, large, F256, 2, 13) | [i] | ||
| 4 | Linear OOA(25661, large, F256, 2, 13) | [i] | ||
| 5 | Linear OOA(25663, large, F256, 2, 13) | [i] | ||
| 6 | Linear OOA(25665, large, F256, 2, 13) | [i] | ||
| 7 | Linear OOA(25667, large, F256, 2, 13) | [i] | ||
| 8 | Linear OOA(25654, 8388602, F256, 2, 13) (dual of [(8388602, 2), 16777150, 14]-NRT-code) | [i] | OOA Duplication | |
| 9 | OOA(12861, 8388602, S128, 2, 13) | [i] | Discarding Parts of the Base for OOAs | |
| 10 | Linear OOA(25653, 4194301, F256, 3, 13) (dual of [(4194301, 3), 12582850, 14]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(25653, 4194301, F256, 4, 13) (dual of [(4194301, 4), 16777151, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(25653, 2796200, F256, 14, 13) (dual of [(2796200, 14), 39146747, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |