Information on Result #676049

Linear OA(384, 2214, F3, 17) (dual of [2214, 2130, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
  1. linear OA(378, 2187, F3, 17) (dual of [2187, 2109, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. 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]
  3. linear OA(36, 27, F3, 3) (dual of [27, 21, 4]-code or 27-cap in PG(5,3)), 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(385, 2215, F3, 17) (dual of [2215, 2130, 18]-code) [i]Code Embedding in Larger Space
2Linear OOA(384, 1389, F3, 2, 17) (dual of [(1389, 2), 2694, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(384, 1389, F3, 3, 17) (dual of [(1389, 3), 4083, 18]-NRT-code) [i]
4Linear OOA(384, 1389, F3, 4, 17) (dual of [(1389, 4), 5472, 18]-NRT-code) [i]
5Linear OOA(384, 1389, F3, 5, 17) (dual of [(1389, 5), 6861, 18]-NRT-code) [i]
6Digital (67, 84, 1389)-net over F3 [i]
7Linear OOA(384, 1107, F3, 2, 17) (dual of [(1107, 2), 2130, 18]-NRT-code) [i]OOA Folding
8Linear OOA(384, 738, F3, 3, 17) (dual of [(738, 3), 2130, 18]-NRT-code) [i]
9Linear OOA(384, 553, F3, 4, 17) (dual of [(553, 4), 2128, 18]-NRT-code) [i]
10Linear OOA(384, 442, F3, 5, 17) (dual of [(442, 5), 2126, 18]-NRT-code) [i]