Information on Result #704203

Linear OA(351, 742, F3, 13) (dual of [742, 691, 14]-code), using construction XX applied to C1 = C([357,367]), C2 = C([355,365]), C3 = C1 + C2 = C([357,365]), and C∩ = C1 ∩ C2 = C([355,367]) based on
  1. linear OA(343, 728, F3, 11) (dual of [728, 685, 12]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {357,358,…,367}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(343, 728, F3, 11) (dual of [728, 685, 12]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {355,356,…,365}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(349, 728, F3, 13) (dual of [728, 679, 14]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {355,356,…,367}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  4. linear OA(337, 728, F3, 9) (dual of [728, 691, 10]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {357,358,…,365}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  5. linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
  6. linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-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(352, 743, F3, 13) (dual of [743, 691, 14]-code) [i]Code Embedding in Larger Space
2Linear OOA(351, 371, F3, 2, 13) (dual of [(371, 2), 691, 14]-NRT-code) [i]OOA Folding
3Linear OOA(351, 247, F3, 3, 13) (dual of [(247, 3), 690, 14]-NRT-code) [i]
4Linear OOA(351, 185, F3, 4, 13) (dual of [(185, 4), 689, 14]-NRT-code) [i]
5Linear OOA(351, 148, F3, 5, 13) (dual of [(148, 5), 689, 14]-NRT-code) [i]