Information on Result #697681

Linear OA(3261, 1056, F32, 26) (dual of [1056, 995, 27]-code), using construction X applied to Ce(25) ⊂ Ce(14) based on
  1. linear OA(3251, 1024, F32, 26) (dual of [1024, 973, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3229, 1024, F32, 15) (dual of [1024, 995, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), 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(3261, 528, F32, 2, 26) (dual of [(528, 2), 995, 27]-NRT-code) [i]OOA Folding