Information on Result #711805

Linear OA(5102, 639, F5, 32) (dual of [639, 537, 33]-code), using construction XX applied to C1 = C([126,156]), C2 = C([129,157]), C3 = C1 + C2 = C([129,156]), and C∩ = C1 ∩ C2 = C([126,157]) 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(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,157}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(599, 624, F5, 32) (dual of [624, 525, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,157}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,156}, and designed minimum distance d ≥ |I|+1 = 29 [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(5102, 319, F5, 2, 32) (dual of [(319, 2), 536, 33]-NRT-code) [i]OOA Folding
2Linear OOA(5102, 213, F5, 3, 32) (dual of [(213, 3), 537, 33]-NRT-code) [i]