Information on Result #675982

Linear OA(368, 2205, F3, 14) (dual of [2205, 2137, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
  1. linear OA(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(34, 18, F3, 2) (dual of [18, 14, 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(368, 1209, F3, 2, 14) (dual of [(1209, 2), 2350, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(368, 1209, F3, 3, 14) (dual of [(1209, 3), 3559, 15]-NRT-code) [i]
3Linear OOA(368, 1209, F3, 4, 14) (dual of [(1209, 4), 4768, 15]-NRT-code) [i]
4Linear OOA(368, 1209, F3, 5, 14) (dual of [(1209, 5), 5977, 15]-NRT-code) [i]
5Digital (54, 68, 1209)-net over F3 [i]
6Linear OOA(368, 1102, F3, 2, 14) (dual of [(1102, 2), 2136, 15]-NRT-code) [i]OOA Folding
7Linear OOA(368, 735, F3, 3, 14) (dual of [(735, 3), 2137, 15]-NRT-code) [i]
8Linear OOA(368, 551, F3, 4, 14) (dual of [(551, 4), 2136, 15]-NRT-code) [i]
9Linear OOA(368, 441, F3, 5, 14) (dual of [(441, 5), 2137, 15]-NRT-code) [i]