Information on Result #711705

Linear OA(5119, 664, F5, 34) (dual of [664, 545, 35]-code), using construction XX applied to C1 = C([126,156]), C2 = C([133,159]), C3 = C1 + C2 = C([133,156]), and C∩ = C1 ∩ C2 = C([126,159]) based on
  1. linear OA(595, 624, F5, 31) (dual of [624, 529, 32]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,156}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(589, 624, F5, 27) (dual of [624, 535, 28]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,159}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,159}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  4. linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,156}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  5. linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
    • an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  6. linear OA(53, 15, F5, 2) (dual of [15, 12, 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(5119, 332, F5, 2, 34) (dual of [(332, 2), 545, 35]-NRT-code) [i]OOA Folding
2Linear OOA(5119, 221, F5, 3, 34) (dual of [(221, 3), 544, 35]-NRT-code) [i]