Information on Result #675092

Linear OA(3136, 19692, F3, 23) (dual of [19692, 19556, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
  1. linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-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(3137, 19693, F3, 23) (dual of [19693, 19556, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(3138, 19694, F3, 23) (dual of [19694, 19556, 24]-code) [i]
3Linear OOA(3136, 9846, F3, 2, 23) (dual of [(9846, 2), 19556, 24]-NRT-code) [i]OOA Folding
4Linear OOA(3136, 6564, F3, 3, 23) (dual of [(6564, 3), 19556, 24]-NRT-code) [i]
5Linear OOA(3136, 4923, F3, 4, 23) (dual of [(4923, 4), 19556, 24]-NRT-code) [i]
6Linear OOA(3136, 3938, F3, 5, 23) (dual of [(3938, 5), 19554, 24]-NRT-code) [i]
7Linear OOA(3136, 1790, F3, 23, 23) (dual of [(1790, 23), 41034, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row