Information on Result #904967
Linear OOA(12878, 8388602, F128, 2, 14) (dual of [(8388602, 2), 16777126, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12825, 4194301, F128, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12825, 8388602, F128, 7) (dual of [8388602, 8388577, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(12825, large, F128, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(12825, large, F128, 7) (dual of [large, large−25, 8]-code), using
- OOA 2-folding [i] based on linear OA(12825, 8388602, F128, 7) (dual of [8388602, 8388577, 8]-code), using
- linear OOA(12853, 4194301, F128, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12853, 8388602, F128, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(12853, 8388602, F128, 14) (dual of [8388602, 8388549, 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(12878, 4194301, F128, 3, 14) (dual of [(4194301, 3), 12582825, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12878, 4194301, F128, 4, 14) (dual of [(4194301, 4), 16777126, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(12878, 2097150, F128, 18, 14) (dual of [(2097150, 18), 37748622, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |