Information on Result #684142

Linear OA(553, 138, F5, 21) (dual of [138, 85, 22]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
  1. linear OA(549, 125, F5, 21) (dual of [125, 76, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(540, 125, F5, 17) (dual of [125, 85, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)), 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(553, 69, F5, 2, 21) (dual of [(69, 2), 85, 22]-NRT-code) [i]OOA Folding