Information on Result #693257

Linear OA(2560, 390656, F25, 14) (dual of [390656, 390596, 15]-code), using construction X applied to Ce(13) ⊂ Ce(7) based on
  1. linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. 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]
  3. linear OA(257, 31, F25, 5) (dual of [31, 24, 6]-code), 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:

ResultThis
result
only
Method
1Linear OOA(2560, 195328, F25, 2, 14) (dual of [(195328, 2), 390596, 15]-NRT-code) [i]OOA Folding
2Linear OOA(2560, 55808, F25, 14, 14) (dual of [(55808, 14), 781252, 15]-NRT-code) [i]OA Folding and Stacking