Information on Result #693457

Linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
  1. linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(2519, 15625, F25, 7) (dual of [15625, 15606, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-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 OA(2526, 15654, F25, 8) (dual of [15654, 15628, 9]-code) [i](u, u+v)-Construction
2Linear OA(2527, 15657, F25, 8) (dual of [15657, 15630, 9]-code) [i]
3Linear OA(2528, 16228, F25, 8) (dual of [16228, 16200, 9]-code) [i]
4Linear OOA(2522, 7814, F25, 2, 8) (dual of [(7814, 2), 15606, 9]-NRT-code) [i]OOA Folding
5Linear OOA(2522, 3907, F25, 8, 8) (dual of [(3907, 8), 31234, 9]-NRT-code) [i]OA Folding and Stacking