Information on Result #695569
Linear OA(2754, 732, F27, 28) (dual of [732, 678, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(2753, 729, F27, 28) (dual of [729, 676, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2751, 729, F27, 26) (dual of [729, 678, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(271, 3, F27, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2775, 814, F27, 28) (dual of [814, 739, 29]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2760, 759, F27, 28) (dual of [759, 699, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(2761, 790, F27, 28) (dual of [790, 729, 29]-code) | [i] | ||
| 4 | Linear OA(2762, 847, F27, 28) (dual of [847, 785, 29]-code) | [i] | ||
| 5 | Linear OOA(2754, 366, F27, 2, 28) (dual of [(366, 2), 678, 29]-NRT-code) | [i] | OOA Folding | |