Information on Result #724889

Linear OA(25107, 656, F25, 51) (dual of [656, 549, 52]-code), using construction XX applied to C1 = C([5,51]), C2 = C([1,41]), C3 = C1 + C2 = C([5,41]), and C∩ = C1 ∩ C2 = C([1,51]) based on
  1. linear OA(2591, 624, F25, 47) (dual of [624, 533, 48]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {5,6,…,51}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  2. linear OA(2579, 624, F25, 41) (dual of [624, 545, 42]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(2595, 624, F25, 51) (dual of [624, 529, 52]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
  4. linear OA(2573, 624, F25, 37) (dual of [624, 551, 38]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {5,6,…,41}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  5. linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using
  6. linear OA(253, 7, F25, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,25) or 7-cap in PG(2,25)), 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, 328, F25, 2, 51) (dual of [(328, 2), 549, 52]-NRT-code) [i]OOA Folding