Information on Result #693172
Linear OA(2546, 390634, F25, 12) (dual of [390634, 390588, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(2545, 390625, F25, 12) (dual of [390625, 390580, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 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(2552, 390660, F25, 12) (dual of [390660, 390608, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2553, 390663, F25, 12) (dual of [390663, 390610, 13]-code) | [i] | ||
| 3 | Linear OOA(2546, 368544, F25, 2, 12) (dual of [(368544, 2), 737042, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (34, 46, 368544)-net over F25 | [i] | ||
| 5 | Linear OOA(2546, 195317, F25, 2, 12) (dual of [(195317, 2), 390588, 13]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2546, 65105, F25, 12, 12) (dual of [(65105, 12), 781214, 13]-NRT-code) | [i] | OA Folding and Stacking | |