Information on Result #676250

Linear OA(372, 2217, F3, 14) (dual of [2217, 2145, 15]-code), using construction XX applied to Ce(13) ⊂ Ce(9) ⊂ Ce(7) 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(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(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]
  4. linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,3)), using
  5. linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-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(372, 1748, F3, 2, 14) (dual of [(1748, 2), 3424, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(372, 1748, F3, 3, 14) (dual of [(1748, 3), 5172, 15]-NRT-code) [i]
3Linear OOA(372, 1748, F3, 4, 14) (dual of [(1748, 4), 6920, 15]-NRT-code) [i]
4Linear OOA(372, 1748, F3, 5, 14) (dual of [(1748, 5), 8668, 15]-NRT-code) [i]
5Digital (58, 72, 1748)-net over F3 [i]
6Linear OOA(372, 739, F3, 3, 14) (dual of [(739, 3), 2145, 15]-NRT-code) [i]OOA Folding
7Linear OOA(372, 554, F3, 4, 14) (dual of [(554, 4), 2144, 15]-NRT-code) [i]