Information on Result #900490
Linear OOA(2767, 8388602, F27, 2, 10) (dual of [(8388602, 2), 16777137, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2721, 4194301, F27, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2721, 8388602, F27, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2721, large, F27, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2721, large, F27, 5) (dual of [large, large−21, 6]-code), using
- OOA 2-folding [i] based on linear OA(2721, 8388602, F27, 5) (dual of [8388602, 8388581, 6]-code), using
- linear OOA(2746, 4194301, F27, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2746, 8388602, F27, 10) (dual of [8388602, 8388556, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2746, large, F27, 10) (dual of [large, large−46, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2746, large, F27, 10) (dual of [large, large−46, 11]-code), using
- OOA 2-folding [i] based on linear OA(2746, 8388602, F27, 10) (dual of [8388602, 8388556, 11]-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(2769, large, F27, 2, 10) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2771, large, F27, 2, 10) | [i] | ||
| 3 | Linear OOA(2773, large, F27, 2, 10) | [i] | ||
| 4 | Linear OOA(2775, large, F27, 2, 10) | [i] | ||
| 5 | Linear OOA(2777, large, F27, 2, 10) | [i] | ||
| 6 | Linear OOA(2779, large, F27, 2, 10) | [i] | ||
| 7 | Linear OOA(2781, large, F27, 2, 10) | [i] | ||
| 8 | Linear OOA(2783, large, F27, 2, 10) | [i] | ||
| 9 | Linear OOA(2785, large, F27, 2, 10) | [i] | ||
| 10 | Linear OOA(2787, large, F27, 2, 10) | [i] | ||
| 11 | Linear OOA(2789, large, F27, 2, 10) | [i] | ||
| 12 | Linear OOA(2791, large, F27, 2, 10) | [i] | ||
| 13 | Linear OOA(2793, large, F27, 2, 10) | [i] | ||
| 14 | Linear OOA(2795, large, F27, 2, 10) | [i] | ||
| 15 | Linear OOA(2797, large, F27, 2, 10) | [i] | ||
| 16 | Linear OOA(2799, large, F27, 2, 10) | [i] | ||
| 17 | Linear OOA(27101, large, F27, 2, 10) | [i] | ||
| 18 | Linear OOA(27103, large, F27, 2, 10) | [i] | ||
| 19 | Linear OOA(27105, large, F27, 2, 10) | [i] | ||
| 20 | Linear OOA(27107, large, F27, 2, 10) | [i] | ||
| 21 | Linear OOA(27109, large, F27, 2, 10) | [i] | ||
| 22 | Linear OOA(2768, 8388602, F27, 2, 10) (dual of [(8388602, 2), 16777136, 11]-NRT-code) | [i] | OOA Duplication | |
| 23 | Linear OOA(2767, 2796200, F27, 14, 10) (dual of [(2796200, 14), 39146733, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |