Information on Result #709683

Linear OA(4253, 1041, F4, 70) (dual of [1041, 788, 71]-code), using construction XX applied to C1 = C([273,340]), C2 = C([279,342]), C3 = C1 + C2 = C([279,340]), and C∩ = C1 ∩ C2 = C([273,342]) based on
  1. linear OA(4240, 1023, F4, 68) (dual of [1023, 783, 69]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,340}, and designed minimum distance d ≥ |I|+1 = 69 [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(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 = {273,274,…,342}, and designed minimum distance d ≥ |I|+1 = 71 [i]
  4. linear OA(4235, 1023, F4, 62) (dual of [1023, 788, 63]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {279,280,…,340}, and designed minimum distance d ≥ |I|+1 = 63 [i]
  5. linear OA(46, 11, F4, 5) (dual of [11, 5, 6]-code), using
  6. linear OA(41, 7, F4, 1) (dual of [7, 6, 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4253, 520, F4, 2, 70) (dual of [(520, 2), 787, 71]-NRT-code) [i]OOA Folding
2Linear OOA(4253, 347, F4, 3, 70) (dual of [(347, 3), 788, 71]-NRT-code) [i]