Information on Result #705883

Linear OA(3243, 760, F3, 62) (dual of [760, 517, 63]-code), using construction XX applied to C1 = C([337,395]), C2 = C([334,391]), C3 = C1 + C2 = C([337,391]), and C∩ = C1 ∩ C2 = C([334,395]) based on
  1. linear OA(3226, 728, F3, 59) (dual of [728, 502, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,395}, and designed minimum distance d ≥ |I|+1 = 60 [i]
  2. linear OA(3220, 728, F3, 58) (dual of [728, 508, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,391}, and designed minimum distance d ≥ |I|+1 = 59 [i]
  3. linear OA(3235, 728, F3, 62) (dual of [728, 493, 63]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,395}, and designed minimum distance d ≥ |I|+1 = 63 [i]
  4. linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56 [i]
  5. linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
  6. linear OA(33, 12, F3, 2) (dual of [12, 9, 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 OA(3244, 761, F3, 62) (dual of [761, 517, 63]-code) [i]Code Embedding in Larger Space
2Linear OA(3246, 763, F3, 62) (dual of [763, 517, 63]-code) [i]
3Linear OOA(3243, 380, F3, 2, 62) (dual of [(380, 2), 517, 63]-NRT-code) [i]OOA Folding
4Linear OOA(3243, 190, F3, 4, 62) (dual of [(190, 4), 517, 63]-NRT-code) [i]