Information on Result #693991
Linear OA(2550, 626, F25, 27) (dual of [626, 576, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- 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(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(250, 1, F25, 0) (dual of [1, 1, 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(2551, 627, F25, 27) (dual of [627, 576, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5100, 1252, F5, 27) (dual of [1252, 1152, 28]-code) | [i] | Trace Code | |
| 3 | Linear OA(2566, 678, F25, 27) (dual of [678, 612, 28]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(2567, 692, F25, 27) (dual of [692, 625, 28]-code) | [i] | ||
| 5 | Linear OA(2568, 694, F25, 27) (dual of [694, 626, 28]-code) | [i] | ||
| 6 | Linear OA(2569, 696, F25, 27) (dual of [696, 627, 28]-code) | [i] | ||
| 7 | Linear OA(2570, 698, F25, 27) (dual of [698, 628, 28]-code) | [i] | ||
| 8 | Linear OA(2571, 704, F25, 27) (dual of [704, 633, 28]-code) | [i] | ||
| 9 | Linear OA(2572, 730, F25, 27) (dual of [730, 658, 28]-code) | [i] | ||
| 10 | Linear OA(2573, 782, F25, 27) (dual of [782, 709, 28]-code) | [i] | ||
| 11 | Linear OA(2574, 838, F25, 27) (dual of [838, 764, 28]-code) | [i] | ||
| 12 | Linear OA(2557, 650, F25, 27) (dual of [650, 593, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 13 | Linear OA(2558, 671, F25, 27) (dual of [671, 613, 28]-code) | [i] | ||
| 14 | Linear OA(2559, 708, F25, 27) (dual of [708, 649, 28]-code) | [i] | ||
| 15 | Linear OA(2560, 769, F25, 27) (dual of [769, 709, 28]-code) | [i] | ||
| 16 | Linear OA(2561, 854, F25, 27) (dual of [854, 793, 28]-code) | [i] | ||
| 17 | Linear OOA(2550, 313, F25, 2, 27) (dual of [(313, 2), 576, 28]-NRT-code) | [i] | OOA Folding | |