Information on Result #712145

Linear OA(5118, 639, F5, 37) (dual of [639, 521, 38]-code), using construction XX applied to C1 = C([121,156]), C2 = C([124,157]), C3 = C1 + C2 = C([124,156]), and C∩ = C1 ∩ C2 = C([121,157]) based on
  1. linear OA(5111, 624, F5, 36) (dual of [624, 513, 37]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,156}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. 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 = {124,125,…,157}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,157}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. 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 = {124,125,…,156}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  5. linear OA(53, 11, F5, 2) (dual of [11, 8, 3]-code), using
  6. linear OA(50, 4, F5, 0) (dual of [4, 4, 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(5118, 319, F5, 2, 37) (dual of [(319, 2), 520, 38]-NRT-code) [i]OOA Folding
2Linear OOA(5118, 213, F5, 3, 37) (dual of [(213, 3), 521, 38]-NRT-code) [i]