Information on Result #736849

Linear OA(3228, 531500, F3, 28) (dual of [531500, 531272, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
  1. linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-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(3229, 531501, F3, 28) (dual of [531501, 531272, 29]-code) [i]Code Embedding in Larger Space
2Linear OA(3231, 531503, F3, 28) (dual of [531503, 531272, 29]-code) [i]
3Linear OA(3232, 531504, F3, 28) (dual of [531504, 531272, 29]-code) [i]
4Linear OA(3227, 531499, F3, 27) (dual of [531499, 531272, 28]-code) [i]Truncation
5Linear OOA(3228, 265750, F3, 2, 28) (dual of [(265750, 2), 531272, 29]-NRT-code) [i]OOA Folding
6Linear OOA(3228, 177166, F3, 3, 28) (dual of [(177166, 3), 531270, 29]-NRT-code) [i]
7Linear OOA(3228, 132875, F3, 4, 28) (dual of [(132875, 4), 531272, 29]-NRT-code) [i]
8Linear OOA(3228, 106300, F3, 5, 28) (dual of [(106300, 5), 531272, 29]-NRT-code) [i]
9Linear OOA(3228, 37964, F3, 28, 28) (dual of [(37964, 28), 1062764, 29]-NRT-code) [i]OA Folding and Stacking