Information on Result #675984

Linear OA(360, 2200, F3, 13) (dual of [2200, 2140, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
  1. linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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 OOA(360, 1100, F3, 2, 13) (dual of [(1100, 2), 2140, 14]-NRT-code) [i]OOA Folding
2Linear OOA(360, 733, F3, 3, 13) (dual of [(733, 3), 2139, 14]-NRT-code) [i]
3Linear OOA(360, 550, F3, 4, 13) (dual of [(550, 4), 2140, 14]-NRT-code) [i]
4Linear OOA(360, 440, F3, 5, 13) (dual of [(440, 5), 2140, 14]-NRT-code) [i]