Information on Result #711240

Linear OA(573, 656, F5, 21) (dual of [656, 583, 22]-code), using construction XX applied to C1 = C([145,161]), C2 = C([141,157]), C3 = C1 + C2 = C([145,157]), and C∩ = C1 ∩ C2 = C([141,161]) based on
  1. 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 = {145,146,…,161}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. 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]
  3. 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]
  4. linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {145,146,…,157}, and designed minimum distance d ≥ |I|+1 = 14 [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(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)) (see above)

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 OA(574, 657, F5, 21) (dual of [657, 583, 22]-code) [i]Code Embedding in Larger Space
2Linear OOA(573, 328, F5, 2, 21) (dual of [(328, 2), 583, 22]-NRT-code) [i]OOA Folding
3Linear OOA(573, 218, F5, 3, 21) (dual of [(218, 3), 581, 22]-NRT-code) [i]