Information on Result #693990
Linear OA(2552, 627, F25, 28) (dual of [627, 575, 29]-code), using construction X applied to Ce(27) ⊂ Ce(26) based on
- linear OA(2552, 625, F25, 28) (dual of [625, 573, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-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(5104, 1254, F5, 28) (dual of [1254, 1150, 29]-code) | [i] | Trace Code | |
| 2 | Linear OA(2569, 679, F25, 28) (dual of [679, 610, 29]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2570, 693, F25, 28) (dual of [693, 623, 29]-code) | [i] | ||
| 4 | Linear OA(2571, 695, F25, 28) (dual of [695, 624, 29]-code) | [i] | ||
| 5 | Linear OA(2572, 697, F25, 28) (dual of [697, 625, 29]-code) | [i] | ||
| 6 | Linear OA(2573, 699, F25, 28) (dual of [699, 626, 29]-code) | [i] | ||
| 7 | Linear OA(2574, 701, F25, 28) (dual of [701, 627, 29]-code) | [i] | ||
| 8 | Linear OA(2575, 731, F25, 28) (dual of [731, 656, 29]-code) | [i] | ||
| 9 | Linear OA(2576, 753, F25, 28) (dual of [753, 677, 29]-code) | [i] | ||
| 10 | Linear OA(2577, 785, F25, 28) (dual of [785, 708, 29]-code) | [i] | ||
| 11 | Linear OA(2559, 651, F25, 28) (dual of [651, 592, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(2560, 671, F25, 28) (dual of [671, 611, 29]-code) | [i] | ||
| 13 | Linear OA(2561, 708, F25, 28) (dual of [708, 647, 29]-code) | [i] | ||
| 14 | Linear OA(2562, 766, F25, 28) (dual of [766, 704, 29]-code) | [i] | ||
| 15 | Linear OA(2563, 849, F25, 28) (dual of [849, 786, 29]-code) | [i] | ||
| 16 | Linear OOA(2552, 313, F25, 2, 28) (dual of [(313, 2), 574, 29]-NRT-code) | [i] | OOA Folding | |