Information on Result #709687

Linear OA(4259, 1045, F4, 71) (dual of [1045, 786, 72]-code), using construction XX applied to C1 = C([272,341]), C2 = C([279,342]), C3 = C1 + C2 = C([279,341]), and C∩ = C1 ∩ C2 = C([272,342]) based on
  1. linear OA(4246, 1023, F4, 70) (dual of [1023, 777, 71]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {272,273,…,341}, and designed minimum distance d ≥ |I|+1 = 71 [i]
  2. linear OA(4241, 1023, F4, 64) (dual of [1023, 782, 65]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {279,280,…,342}, and designed minimum distance d ≥ |I|+1 = 65 [i]
  3. linear OA(4251, 1023, F4, 71) (dual of [1023, 772, 72]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {272,273,…,342}, and designed minimum distance d ≥ |I|+1 = 72 [i]
  4. linear OA(4236, 1023, F4, 63) (dual of [1023, 787, 64]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {279,280,…,341}, and designed minimum distance d ≥ |I|+1 = 64 [i]
  5. linear OA(48, 17, F4, 6) (dual of [17, 9, 7]-code), using
    • the BCH-code C(I) with length 17 | 44−1, defining interval I = {1,4,7,…,16}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  6. linear OA(40, 5, F4, 0) (dual of [5, 5, 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.