Information on Result #710267

Linear OA(591, 139, F5, 44) (dual of [139, 48, 45]-code), using construction XX applied to C1 = C([20,61]), C2 = C([24,63]), C3 = C1 + C2 = C([24,61]), and C∩ = C1 ∩ C2 = C([20,63]) based on
  1. linear OA(582, 124, F5, 42) (dual of [124, 42, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,61}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(580, 124, F5, 40) (dual of [124, 44, 41]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {24,25,…,63}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,63}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  4. linear OA(576, 124, F5, 38) (dual of [124, 48, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {24,25,…,61}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  5. linear OA(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-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.