Information on Result #737622

Linear OA(592, 3151, F5, 22) (dual of [3151, 3059, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
  1. linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(56, 26, F5, 4) (dual of [26, 20, 5]-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(592, 1575, F5, 2, 22) (dual of [(1575, 2), 3058, 23]-NRT-code) [i]OOA Folding
2Linear OOA(592, 1050, F5, 3, 22) (dual of [(1050, 3), 3058, 23]-NRT-code) [i]