Information on Result #710252

Linear OA(588, 139, F5, 43) (dual of [139, 51, 44]-code), using construction XX applied to C1 = C([21,61]), C2 = C([25,63]), C3 = C1 + C2 = C([25,61]), and C∩ = C1 ∩ C2 = C([21,63]) based on
  1. linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,61}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,63}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,63}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  4. linear OA(573, 124, F5, 37) (dual of [124, 51, 38]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,61}, and designed minimum distance d ≥ |I|+1 = 38 [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.