Information on Result #737711

Linear OA(5106, 137, F5, 56) (dual of [137, 31, 57]-code), using construction X applied to Ce(61) ⊂ Ce(47) based on
  1. linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
  2. linear OA(592, 125, F5, 48) (dual of [125, 33, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
  3. linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-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(5106, 68, F5, 2, 56) (dual of [(68, 2), 30, 57]-NRT-code) [i]OOA Folding