Information on Result #683927

Linear OA(5125, 329, F5, 41) (dual of [329, 204, 42]-code), using construction X applied to Ce(40) ⊂ Ce(35) based on
  1. linear OA(5119, 313, F5, 41) (dual of [313, 194, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(5109, 313, F5, 36) (dual of [313, 204, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(56, 16, F5, 4) (dual of [16, 10, 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(5125, 164, F5, 2, 41) (dual of [(164, 2), 203, 42]-NRT-code) [i]OOA Folding