Information on Result #736865

Linear OA(3210, 177202, F3, 28) (dual of [177202, 176992, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
  1. linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(311, 55, F3, 5) (dual of [55, 44, 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(3212, 177204, F3, 28) (dual of [177204, 176992, 29]-code) [i]Code Embedding in Larger Space
2Linear OA(3213, 177205, F3, 28) (dual of [177205, 176992, 29]-code) [i]
3Linear OA(3214, 177206, F3, 28) (dual of [177206, 176992, 29]-code) [i]
4Linear OA(3209, 177201, F3, 27) (dual of [177201, 176992, 28]-code) [i]Truncation
5Linear OOA(3210, 88601, F3, 2, 28) (dual of [(88601, 2), 176992, 29]-NRT-code) [i]OOA Folding
6Linear OOA(3210, 59067, F3, 3, 28) (dual of [(59067, 3), 176991, 29]-NRT-code) [i]
7Linear OOA(3210, 44300, F3, 4, 28) (dual of [(44300, 4), 176990, 29]-NRT-code) [i]
8Linear OOA(3210, 35440, F3, 5, 28) (dual of [(35440, 5), 176990, 29]-NRT-code) [i]
9Linear OOA(3210, 12657, F3, 28, 28) (dual of [(12657, 28), 354186, 29]-NRT-code) [i]OA Folding and Stacking