Information on Result #737668

Linear OA(559, 3158, F5, 13) (dual of [3158, 3099, 14]-code), using construction X applied to Ce(12) ⊂ Ce(6) based on
  1. linear OA(551, 3125, F5, 13) (dual of [3125, 3074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(526, 3125, F5, 7) (dual of [3125, 3099, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(58, 33, F5, 5) (dual of [33, 25, 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(559, 1579, F5, 2, 13) (dual of [(1579, 2), 3099, 14]-NRT-code) [i]OOA Folding
2Linear OOA(559, 1052, F5, 3, 13) (dual of [(1052, 3), 3097, 14]-NRT-code) [i]