Information on Result #735940

Linear OA(25663, 66826, F256, 22) (dual of [66826, 66763, 23]-code), using (u, u+v)-construction based on
  1. linear OA(25619, 1285, F256, 11) (dual of [1285, 1266, 12]-code), using
    • the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,155,309,…,256}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(25644, 65541, F256, 22) (dual of [65541, 65497, 23]-code), using
    • construction X applied to Ce(21) ⊂ Ce(19) [i] based on
      1. linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
      2. linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
      3. linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), 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(25663, 33413, F256, 2, 22) (dual of [(33413, 2), 66763, 23]-NRT-code) [i]OOA Folding
2Linear OOA(25663, 22275, F256, 3, 22) (dual of [(22275, 3), 66762, 23]-NRT-code) [i]
3Linear OOA(25663, 13365, F256, 5, 22) (dual of [(13365, 5), 66762, 23]-NRT-code) [i]
4Linear OOA(25663, 6075, F256, 22, 22) (dual of [(6075, 22), 133587, 23]-NRT-code) [i]OA Folding and Stacking