Information on Result #711347

Linear OA(584, 655, F5, 24) (dual of [655, 571, 25]-code), using construction XX applied to C1 = C([141,161]), C2 = C([138,157]), C3 = C1 + C2 = C([141,157]), and C∩ = C1 ∩ C2 = C([138,161]) based on
  1. linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,161}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,157}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. 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 = {138,139,…,161}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  4. linear OA(553, 624, F5, 17) (dual of [624, 571, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,157}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  5. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
  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(584, 327, F5, 2, 24) (dual of [(327, 2), 570, 25]-NRT-code) [i]OOA Folding
2Linear OOA(584, 218, F5, 3, 24) (dual of [(218, 3), 570, 25]-NRT-code) [i]