Information on Result #724505

Linear OA(25102, 681, F25, 43) (dual of [681, 579, 44]-code), using construction XX applied to C1 = C([617,26]), C2 = C([4,35]), C3 = C1 + C2 = C([4,26]), and C∩ = C1 ∩ C2 = C([617,35]) based on
  1. linear OA(2564, 624, F25, 34) (dual of [624, 560, 35]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−7,−6,…,26}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(2563, 624, F25, 32) (dual of [624, 561, 33]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,35}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(2582, 624, F25, 43) (dual of [624, 542, 44]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−7,−6,…,35}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  4. linear OA(2545, 624, F25, 23) (dual of [624, 579, 24]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,26}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(2512, 31, F25, 10) (dual of [31, 19, 11]-code), using
  6. linear OA(258, 26, F25, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,25)), 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.