Information on Result #697668

Linear OA(3287, 1056, F32, 40) (dual of [1056, 969, 41]-code), using construction X applied to Ce(39) ⊂ Ce(27) based on
  1. linear OA(3276, 1024, F32, 40) (dual of [1024, 948, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(3255, 1024, F32, 28) (dual of [1024, 969, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), 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(3287, 528, F32, 2, 40) (dual of [(528, 2), 969, 41]-NRT-code) [i]OOA Folding