Information on Result #728916

Linear OA(32106, 1088, F32, 44) (dual of [1088, 982, 45]-code), using construction XX applied to C1 = C([1,33]), C2 = C([13,44]), C3 = C1 + C2 = C([13,33]), and C∩ = C1 ∩ C2 = C([1,44]) based on
  1. linear OA(3263, 1023, F32, 33) (dual of [1023, 960, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(3263, 1023, F32, 32) (dual of [1023, 960, 33]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,44}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(3285, 1023, F32, 44) (dual of [1023, 938, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  4. linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,33}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  5. linear OA(3211, 33, F32, 11) (dual of [33, 22, 12]-code or 33-arc in PG(10,32)), using
  6. 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 OA(32108, 1090, F32, 44) (dual of [1090, 982, 45]-code) [i]Code Embedding in Larger Space
2Linear OA(32109, 1091, F32, 44) (dual of [1091, 982, 45]-code) [i]
3Linear OOA(32106, 544, F32, 2, 44) (dual of [(544, 2), 982, 45]-NRT-code) [i]OOA Folding