Information on Result #723196

Linear OA(2548, 660, F25, 19) (dual of [660, 612, 20]-code), using construction XX applied to C1 = C([4,18]), C2 = C([0,9]), C3 = C1 + C2 = C([4,9]), and C∩ = C1 ∩ C2 = C([0,18]) based on
  1. linear OA(2530, 624, F25, 15) (dual of [624, 594, 16]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,18}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(2519, 624, F25, 10) (dual of [624, 605, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(2537, 624, F25, 19) (dual of [624, 587, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(2512, 624, F25, 6) (dual of [624, 612, 7]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,9}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  5. linear OA(258, 26, F25, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,25)), using
  6. linear OA(253, 10, F25, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,25) or 10-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(2548, 330, F25, 2, 19) (dual of [(330, 2), 612, 20]-NRT-code) [i]OOA Folding