Information on Result #724116

Linear OA(2584, 673, F25, 36) (dual of [673, 589, 37]-code), using construction XX applied to C1 = C([623,26]), C2 = C([9,34]), C3 = C1 + C2 = C([9,26]), and C∩ = C1 ∩ C2 = C([623,34]) based on
  1. linear OA(2552, 624, F25, 28) (dual of [624, 572, 29]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,26}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(2551, 624, F25, 26) (dual of [624, 573, 27]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {9,10,…,34}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(2568, 624, F25, 36) (dual of [624, 556, 37]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(2535, 624, F25, 18) (dual of [624, 589, 19]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {9,10,…,26}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  5. linear OA(259, 26, F25, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,25)), using
  6. linear OA(257, 23, F25, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,25)), 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

None.