Information on Result #693173
Linear OA(2538, 390634, F25, 10) (dual of [390634, 390596, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- 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(2529, 390625, F25, 8) (dual of [390625, 390596, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(2543, 390660, F25, 10) (dual of [390660, 390617, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2545, 391235, F25, 10) (dual of [391235, 391190, 11]-code) | [i] | ||
| 3 | Linear OOA(2538, 390634, F25, 2, 10) (dual of [(390634, 2), 781230, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (28, 38, 390634)-net over F25 | [i] | ||
| 5 | Linear OOA(2538, 195317, F25, 2, 10) (dual of [(195317, 2), 390596, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2538, 78126, F25, 10, 10) (dual of [(78126, 10), 781222, 11]-NRT-code) | [i] | OA Folding and Stacking | |