Information on Result #736875

Linear OA(3237, 177229, F3, 30) (dual of [177229, 176992, 31]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
  1. linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(316, 82, F3, 7) (dual of [82, 66, 8]-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(3238, 177230, F3, 30) (dual of [177230, 176992, 31]-code) [i]Code Embedding in Larger Space
2Linear OA(3239, 177231, F3, 30) (dual of [177231, 176992, 31]-code) [i]
3Linear OOA(3237, 88614, F3, 2, 30) (dual of [(88614, 2), 176991, 31]-NRT-code) [i]OOA Folding
4Linear OOA(3237, 59076, F3, 3, 30) (dual of [(59076, 3), 176991, 31]-NRT-code) [i]
5Linear OOA(3237, 44307, F3, 4, 30) (dual of [(44307, 4), 176991, 31]-NRT-code) [i]
6Linear OOA(3237, 35445, F3, 5, 30) (dual of [(35445, 5), 176988, 31]-NRT-code) [i]
7Linear OOA(3237, 11815, F3, 30, 30) (dual of [(11815, 30), 354213, 31]-NRT-code) [i]OA Folding and Stacking