Information on Result #900553
Linear OOA(2782, 8388602, F27, 2, 12) (dual of [(8388602, 2), 16777122, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2726, 4194301, F27, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 7]-code), using
- linear OOA(2756, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 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(2784, large, F27, 2, 12) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2786, large, F27, 2, 12) | [i] | ||
| 3 | Linear OOA(2788, large, F27, 2, 12) | [i] | ||
| 4 | Linear OOA(2790, large, F27, 2, 12) | [i] | ||
| 5 | Linear OOA(2792, large, F27, 2, 12) | [i] | ||
| 6 | Linear OOA(2794, large, F27, 2, 12) | [i] | ||
| 7 | Linear OOA(2796, large, F27, 2, 12) | [i] | ||
| 8 | Linear OOA(2798, large, F27, 2, 12) | [i] | ||
| 9 | Linear OOA(27100, large, F27, 2, 12) | [i] | ||
| 10 | Linear OOA(27102, large, F27, 2, 12) | [i] | ||
| 11 | Linear OOA(27104, large, F27, 2, 12) | [i] | ||
| 12 | Linear OOA(27106, large, F27, 2, 12) | [i] | ||
| 13 | Linear OOA(27108, large, F27, 2, 12) | [i] | ||
| 14 | Linear OOA(27110, large, F27, 2, 12) | [i] | ||
| 15 | Linear OOA(2783, 8388602, F27, 2, 12) (dual of [(8388602, 2), 16777121, 13]-NRT-code) | [i] | OOA Duplication | |
| 16 | Linear OOA(2782, 2796200, F27, 14, 12) (dual of [(2796200, 14), 39146718, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |