Information on Result #666028

Linear OA(25108, 15938, F25, 29) (dual of [15938, 15830, 30]-code), using (u, u+v)-construction based on
  1. linear OA(2526, 313, F25, 14) (dual of [313, 287, 15]-code), using
    • an extension Ce(13) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using
    • an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]

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(25108, 1138, F25, 29, 29) (dual of [(1138, 29), 32894, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row