Information on Result #725051

Linear OA(25107, 885, F25, 38) (dual of [885, 778, 39]-code), using construction XX applied to C1 = C([0,36]), C2 = C([5,37]), C3 = C1 + C2 = C([5,36]), and C∩ = C1 ∩ C2 = C([0,37]) based on
  1. linear OA(25100, 868, F25, 37) (dual of [868, 768, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(2593, 868, F25, 33) (dual of [868, 775, 34]-code), using the BCH-code C(I) with length 868 | 253−1, defining interval I = {5,6,…,37}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(25103, 868, F25, 38) (dual of [868, 765, 39]-code), using the expurgated narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(2590, 868, F25, 32) (dual of [868, 778, 33]-code), using the BCH-code C(I) with length 868 | 253−1, defining interval I = {5,6,…,36}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(254, 14, F25, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,25)), using
  6. linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-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(25107, 442, F25, 2, 38) (dual of [(442, 2), 777, 39]-NRT-code) [i]OOA Folding