Information on Result #712952

Linear OA(7102, 203, F7, 41) (dual of [203, 101, 42]-code), using construction XX applied to C1 = C([29,67]), C2 = C([27,60]), C3 = C1 + C2 = C([29,60]), and C∩ = C1 ∩ C2 = C([27,67]) based on
  1. linear OA(785, 171, F7, 39) (dual of [171, 86, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,67}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(776, 171, F7, 34) (dual of [171, 95, 35]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {27,28,…,60}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(791, 171, F7, 41) (dual of [171, 80, 42]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {27,28,…,67}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(770, 171, F7, 32) (dual of [171, 101, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(710, 25, F7, 6) (dual of [25, 15, 7]-code), using
    • an extension Ce(5) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  6. linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-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

None.