Information on Result #736851

Linear OA(3192, 531500, F3, 23) (dual of [531500, 531308, 24]-code), using construction X applied to Ce(22) ⊂ Ce(16) based on
  1. linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(3133, 531441, F3, 17) (dual of [531441, 531308, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3193, 531501, F3, 23) (dual of [531501, 531308, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(3195, 531503, F3, 23) (dual of [531503, 531308, 24]-code) [i]
3Linear OOA(3192, 265750, F3, 2, 23) (dual of [(265750, 2), 531308, 24]-NRT-code) [i]OOA Folding
4Linear OOA(3192, 177166, F3, 3, 23) (dual of [(177166, 3), 531306, 24]-NRT-code) [i]
5Linear OOA(3192, 132875, F3, 4, 23) (dual of [(132875, 4), 531308, 24]-NRT-code) [i]
6Linear OOA(3192, 106300, F3, 5, 23) (dual of [(106300, 5), 531308, 24]-NRT-code) [i]
7Linear OOA(3192, 48318, F3, 23, 23) (dual of [(48318, 23), 1111122, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row