Information on Result #675988

Linear OA(354, 2205, F3, 11) (dual of [2205, 2151, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
  1. 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]
  2. linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(354, 1330, F3, 2, 11) (dual of [(1330, 2), 2606, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(354, 1330, F3, 3, 11) (dual of [(1330, 3), 3936, 12]-NRT-code) [i]
3Linear OOA(354, 1330, F3, 4, 11) (dual of [(1330, 4), 5266, 12]-NRT-code) [i]
4Linear OOA(354, 1330, F3, 5, 11) (dual of [(1330, 5), 6596, 12]-NRT-code) [i]
5Digital (43, 54, 1330)-net over F3 [i]
6Linear OOA(354, 1102, F3, 2, 11) (dual of [(1102, 2), 2150, 12]-NRT-code) [i]OOA Folding
7Linear OOA(354, 735, F3, 3, 11) (dual of [(735, 3), 2151, 12]-NRT-code) [i]
8Linear OOA(354, 551, F3, 4, 11) (dual of [(551, 4), 2150, 12]-NRT-code) [i]
9Linear OOA(354, 441, F3, 5, 11) (dual of [(441, 5), 2151, 12]-NRT-code) [i]