Information on Result #709932

Linear OA(561, 151, F5, 22) (dual of [151, 90, 23]-code), using construction XX applied to C1 = C([11,31]), C2 = C([18,32]), C3 = C1 + C2 = C([18,31]), and C∩ = C1 ∩ C2 = C([11,32]) based on
  1. linear OA(549, 124, F5, 21) (dual of [124, 75, 22]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,31}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(537, 124, F5, 15) (dual of [124, 87, 16]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,32}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,32}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  4. linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,31}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(59, 24, F5, 6) (dual of [24, 15, 7]-code), using
    • the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 7 [i]
  6. linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-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.