Information on Result #676040

Linear OA(3112, 2214, F3, 23) (dual of [2214, 2102, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
  1. linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(385, 2187, F3, 19) (dual of [2187, 2102, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(3113, 2215, F3, 23) (dual of [2215, 2102, 24]-code) [i]Code Embedding in Larger Space
2Linear OOA(3112, 1424, F3, 2, 23) (dual of [(1424, 2), 2736, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3112, 1424, F3, 3, 23) (dual of [(1424, 3), 4160, 24]-NRT-code) [i]
4Linear OOA(3112, 1424, F3, 4, 23) (dual of [(1424, 4), 5584, 24]-NRT-code) [i]
5Linear OOA(3112, 1424, F3, 5, 23) (dual of [(1424, 5), 7008, 24]-NRT-code) [i]
6Digital (89, 112, 1424)-net over F3 [i]
7Linear OOA(3112, 1107, F3, 2, 23) (dual of [(1107, 2), 2102, 24]-NRT-code) [i]OOA Folding
8Linear OOA(3112, 738, F3, 3, 23) (dual of [(738, 3), 2102, 24]-NRT-code) [i]
9Linear OOA(3112, 553, F3, 4, 23) (dual of [(553, 4), 2100, 24]-NRT-code) [i]
10Linear OOA(3112, 442, F3, 5, 23) (dual of [(442, 5), 2098, 24]-NRT-code) [i]