Information on Result #905655
Linear OOA(25659, 8388602, F256, 2, 14) (dual of [(8388602, 2), 16777145, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25619, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 2-folding [i] based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-code), using
- linear OOA(25640, 4194301, F256, 2, 14) (dual of [(4194301, 2), 8388562, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25640, 8388602, F256, 14) (dual of [8388602, 8388562, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- OOA 2-folding [i] based on linear OA(25640, 8388602, F256, 14) (dual of [8388602, 8388562, 15]-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(25661, large, F256, 2, 14) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25663, large, F256, 2, 14) | [i] | ||
| 3 | Linear OOA(25665, large, F256, 2, 14) | [i] | ||
| 4 | Linear OOA(25667, large, F256, 2, 14) | [i] | ||
| 5 | Linear OOA(25660, 8388602, F256, 2, 14) (dual of [(8388602, 2), 16777144, 15]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(25659, 4194301, F256, 3, 14) (dual of [(4194301, 3), 12582844, 15]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(25659, 4194301, F256, 4, 14) (dual of [(4194301, 4), 16777145, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(25659, 2097150, F256, 18, 14) (dual of [(2097150, 18), 37748641, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |