Information on Result #697676

Linear OA(3271, 1056, F32, 31) (dual of [1056, 985, 32]-code), using construction X applied to Ce(30) ⊂ Ce(19) based on
  1. linear OA(3261, 1024, F32, 31) (dual of [1024, 963, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(3239, 1024, F32, 20) (dual of [1024, 985, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(3271, 528, F32, 2, 31) (dual of [(528, 2), 985, 32]-NRT-code) [i]OOA Folding