Information on Result #683703

Linear OA(5143, 687, F5, 38) (dual of [687, 544, 39]-code), using construction X applied to Ce(37) ⊂ Ce(25) based on
  1. linear OA(5119, 625, F5, 38) (dual of [625, 506, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(581, 625, F5, 26) (dual of [625, 544, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(524, 62, F5, 11) (dual of [62, 38, 12]-code), using
    • the BCH-code C(I) with length 62 | 53−1, defining interval I = {25,32,39,…,−29}, and designed minimum distance d ≥ |I|+1 = 12 [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

None.