Information on Result #709907

Linear OA(548, 142, F5, 18) (dual of [142, 94, 19]-code), using construction XX applied to C1 = C([15,30]), C2 = C([19,32]), C3 = C1 + C2 = C([19,30]), and C∩ = C1 ∩ C2 = C([15,32]) based on
  1. linear OA(539, 124, F5, 16) (dual of [124, 85, 17]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {15,16,…,30}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. 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 = {19,20,…,32}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(543, 124, F5, 18) (dual of [124, 81, 19]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {15,16,…,32}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  4. linear OA(530, 124, F5, 12) (dual of [124, 94, 13]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {19,20,…,30}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  5. linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)), using
  6. linear OA(51, 5, F5, 1) (dual of [5, 4, 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.