Information on Result #693431
Linear OA(2576, 15628, F25, 27) (dual of [15628, 15552, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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(2577, 15629, F25, 27) (dual of [15629, 15552, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2592, 15680, F25, 27) (dual of [15680, 15588, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2593, 15694, F25, 27) (dual of [15694, 15601, 28]-code) | [i] | ||
| 4 | Linear OA(2594, 15696, F25, 27) (dual of [15696, 15602, 28]-code) | [i] | ||
| 5 | Linear OA(2595, 15698, F25, 27) (dual of [15698, 15603, 28]-code) | [i] | ||
| 6 | Linear OA(2596, 15700, F25, 27) (dual of [15700, 15604, 28]-code) | [i] | ||
| 7 | Linear OA(2597, 15706, F25, 27) (dual of [15706, 15609, 28]-code) | [i] | ||
| 8 | Linear OA(2598, 15732, F25, 27) (dual of [15732, 15634, 28]-code) | [i] | ||
| 9 | Linear OA(2599, 15784, F25, 27) (dual of [15784, 15685, 28]-code) | [i] | ||
| 10 | Linear OA(25100, 15840, F25, 27) (dual of [15840, 15740, 28]-code) | [i] | ||
| 11 | Linear OOA(2576, 7814, F25, 2, 27) (dual of [(7814, 2), 15552, 28]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2576, 1202, F25, 27, 27) (dual of [(1202, 27), 32378, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |