Information on Result #722742

Linear OA(2521, 108, F25, 12) (dual of [108, 87, 13]-code), using construction XX applied to C1 = C([8,18]), C2 = C([7,17]), C3 = C1 + C2 = C([8,17]), and C∩ = C1 ∩ C2 = C([7,18]) based on
  1. linear OA(2519, 104, F25, 11) (dual of [104, 85, 12]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {8,9,…,18}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(2519, 104, F25, 11) (dual of [104, 85, 12]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {7,8,…,17}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(2521, 104, F25, 12) (dual of [104, 83, 13]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {7,8,…,18}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  4. linear OA(2517, 104, F25, 10) (dual of [104, 87, 11]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {8,9,…,17}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  5. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)

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(2569, 732, F25, 25) (dual of [732, 663, 26]-code) [i](u, u+v)-Construction
2Linear OA(2593, 15732, F25, 25) (dual of [15732, 15639, 26]-code) [i]
3Linear OA(2568, 736, F25, 24) (dual of [736, 668, 25]-code) [i]
4Linear OA(2591, 15736, F25, 24) (dual of [15736, 15645, 25]-code) [i]
5Linear OOA(2521, 108, F25, 2, 12) (dual of [(108, 2), 195, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Digital (9, 21, 108)-net over F25 [i]
7Linear OOA(2521, 54, F25, 2, 12) (dual of [(54, 2), 87, 13]-NRT-code) [i]OOA Folding