Information on Result #711763

Linear OA(5112, 656, F5, 33) (dual of [656, 544, 34]-code), using construction XX applied to C1 = C([126,155]), C2 = C([131,158]), C3 = C1 + C2 = C([131,155]), and C∩ = C1 ∩ C2 = C([126,158]) based on
  1. linear OA(594, 624, F5, 30) (dual of [624, 530, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,155}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(589, 624, F5, 28) (dual of [624, 535, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {131,132,…,158}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,158}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(580, 624, F5, 25) (dual of [624, 544, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {131,132,…,155}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  5. linear OA(56, 20, F5, 4) (dual of [20, 14, 5]-code), using
  6. linear OA(53, 12, F5, 2) (dual of [12, 9, 3]-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(5112, 328, F5, 2, 33) (dual of [(328, 2), 544, 34]-NRT-code) [i]OOA Folding