Information on Result #705880

Linear OA(3235, 752, F3, 61) (dual of [752, 517, 62]-code), using construction XX applied to C1 = C([337,394]), C2 = C([334,391]), C3 = C1 + C2 = C([337,391]), and C∩ = C1 ∩ C2 = C([334,394]) based on
  1. 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 = {337,338,…,394}, and designed minimum distance d ≥ |I|+1 = 59 [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(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,394}, and designed minimum distance d ≥ |I|+1 = 62 [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(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
  6. linear OA(33, 12, F3, 2) (dual of [12, 9, 3]-code) (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(3236, 753, F3, 61) (dual of [753, 517, 62]-code) [i]Code Embedding in Larger Space
2Linear OOA(3235, 376, F3, 2, 61) (dual of [(376, 2), 517, 62]-NRT-code) [i]OOA Folding
3Linear OOA(3235, 188, F3, 4, 61) (dual of [(188, 4), 517, 62]-NRT-code) [i]