Information on Result #709690

Linear OA(4258, 1045, F4, 71) (dual of [1045, 787, 72]-code), using construction XX applied to C1 = C([273,341]), C2 = C([279,343]), C3 = C1 + C2 = C([279,341]), and C∩ = C1 ∩ C2 = C([273,343]) based on
  1. linear OA(4241, 1023, F4, 69) (dual of [1023, 782, 70]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,341}, and designed minimum distance d ≥ |I|+1 = 70 [i]
  2. linear OA(4246, 1023, F4, 65) (dual of [1023, 777, 66]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {279,280,…,343}, and designed minimum distance d ≥ |I|+1 = 66 [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 = {273,274,…,343}, 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(46, 11, F4, 5) (dual of [11, 5, 6]-code), using
  6. linear OA(41, 11, F4, 1) (dual of [11, 10, 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 OA(4259, 1046, F4, 71) (dual of [1046, 787, 72]-code) [i]Code Embedding in Larger Space
2Linear OOA(4258, 522, F4, 2, 71) (dual of [(522, 2), 786, 72]-NRT-code) [i]OOA Folding
3Linear OOA(4258, 348, F4, 3, 71) (dual of [(348, 3), 786, 72]-NRT-code) [i]